Abstract
This paper describes an innovative remote surface sterilization approach applicable to the new coronavirus, severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The process is based on the application of a liquid film on the surface or object under sterilization (OUS). A beacon signal is used to self-steer the transmitted power from the designed retrodirective antenna array (RDA) towards the OUS using circularly polarized fields; then, the sterilization is completed by raising and maintaining the required temperature for a certain time. Results suggest that the process takes 5 minutes or less for an angular coverage range over 60 degrees whilst abiding by the relevant safety protocols. This paper also models the power incident onto the OUS, providing consistent results with full-wave simulations. A practical RDA system is developed using a 2 × 1 microstrip patch array operating at 2.5 GHz and tested through the positioning of a representative target surface. Measurements, developed by sampling the power transmitted by the heterodyne RDA, are reported for various distances and angles, operating in the near-field of the system. To further validate the methodology, an additional experiment investigating virus deactivation through microwave heating was also developed. Measurements have been performed with an open cavity microwave oven on the Coronavirus (strain 229E) and egg white protein in a cuvette. This demonstrates that the temperature increases of aqueous films up to 70
C by remote microwave-induced heat can denature proteins and deactivate viruses. Possible applications of the method include sterilization of ambulances, medical equipment, and internet of things (IoT) devices.
Keywords: COVID-19, medical devices, microwave heating, near field, retrodirective array, SARS-CoV-2, remote sterilization
I. Introduction and Motivation
The World Health Organization (WHO) has categorized the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) among a family of viruses that can affect animals or humans, causing the COVID-19 disease [1]. The unprecedented situation the entire world is facing with COVID-19 calls for new solutions that help to ensure that medical staff, and the general public, are safe and protected. Understanding the way in which the virus propagates and how the infection occurs is of paramount importance to control the pandemic. When people infected with COVID-19 cough or exhale, droplets are expelled from their nose or mouth and they can diffuse onto objects and surfaces [1]. The virus can survive for hours, or even up to days, on plastic and metallic surfaces [1], which means that people can inadvertently become infected with COVID-19, becoming potential carriers. These emitted droplets, depending on their size and weight, can also remain suspended in air. The survival of the virus on contaminated surfaces has a vital role in its spreading, therefore sterilization of said surfaces is important to curtail the pandemic.
Accurate information regarding the life-time of the SARS-CoV-2 on infected surfaces is still not completely clear. Based on some early results [1] it is expected to act like other coronaviruses. A preliminary work developed in 2003, when the SARS-CoV-1 was discovered, reported on the stability of coronaviruses in human specimens and related environments. The results made it clear that for at least 96 hours SARS was capable of surviving and being infectious in serum, diluted sputum and feces, and up to 72 hours for urine. At the same time the virus can remain strongly infectious at low and room temperatures for at least 2 hours. Only with longer exposure times and at higher temperatures did the virus start to become non-infectious. In addition, ultraviolet C (UVC) irradiation for 9 minutes has been shown to lead to the elimination of the virus [2].
Recent research has also shown that viruses with pandemic potential, like SARS, have a long survival time on dry surfaces and can infect field settings [3]. Coronaviruses can also survive in water and pre-pasteurized settled sewage, making human exposure possible [4]. Aerosol and surface stability of the new SARS coronavirus has also been recently studied in [5] using different materials: copper, cardboard, stainless steel, and plastic. The concentration of the virus (i.e., the titer) was measured at 21
C to 23
C and 40% relative humidity for more than 7 days. The titer of the aerosolized virus was expressed in 50% tissue-culture infectious dose (TCID50) per liter of air. The experiments were repeated three times each. Table I presents the titer results, showing that on cardboard and stainless steel it becomes very low after 24 hours. In aerosol form and on copper, the titers require only a few hours to drop to low levels. However, the virus durability on plastic can be very long (up to 48 hours) [5].
TABLE I. Survival of Coronavirus in Aerosols and on surfaces [5].
| Titer | Hours of Viability of Virus |
| Aerosols |
3 |
| Copper | 8 |
| Plastic | 72 |
| Cardboard | 24 |
| Stainless Steel |
48 |
Abraham and colleagues recently developed guidelines for microwave thermal sterilization in [6]. The authors suggest that a temperature beyond 60
C is required for the thermal destruction of the virus; i.e. SARS-CoV-2, highlighting that the time needed to complete the sterilization is a function of temperature. Specifically, a 3 minute exposure at 75
C is recommended, whereas an exposure of 5 minutes at 65
C and of 20 minutes at 60
C is recommended, adopting a conservative approach on the sterilization time and temperature. Additionally, the Centers for Disease Control and Prevention (CDC) in the United States has published a guideline for disinfection and sterilization methods in health-care facilities, including alcohol, chlorine, and pasteurization [7]. Sterilization can be operated through ionizing and infrared radiation (indicating powers in the order of 600 W [8]), which are well-established but are relatively expensive methods, often requiring bulky systems. These features not always match the requirements of health-care facilities (ex. US Food and Drug Administration, FDA) [7]. Microwaves are also regarded as a promising method for sterilization and have a number of applications, which include soft contact lenses, dental instruments, dentures, milk, urinary catheters and many others [7].
The general principle commonly used in a kitchen-based microwave oven can be exploited to produce heat for sterilization [7]. Basically, microwaves can generate friction of the constituent water molecules, usually at 2.45 GHz; typically, an effective microbicide dose requires 60 seconds to 5 minutes, depending on the microorganism being targeted [7]. During radiation, the electric field hits the polar molecules, generating vibrations as well as twisting, turning, and stretching, which causes friction in a viscous environment, thus creating heat. The mechanism is affected by the amount of water present and by the intensity of the incident field [9].
UV radiation is also a natural disinfectant that reduces health-care acquired infections and kills pathogens. It is typically applied to sterilize drinking water and air [10]. There are various factors such as temperature, wavelength, and intensity, which influence the effectiveness of the sterilization process. From a physical viewpoint, UV radiation is associated with wavelengths between 100 and 400 nm, while maximum bactericidal effect takes place at 240 to 280 nm [10]. In health-care environments, UV covers the inactivation of airborne organisms and microorganisms on surfaces [7]. UV can be applied in health-care facilities or emergency vehicles, such as ambulances, which are disinfected by using UV light. Conventional decontamination time can take about 15–20 minutes [10].
Research exploring the possibility of eliminating viruses based on a method using confined acoustic vibrations (CAV) was published in [11]. In this approach, energy can be transferred by an incident microwave power density by CAV, which induces stress fractures in the virus structure. This operation has shown to cause deactivation of the airborne virus, whilst being safe for the public. Moreover, an experiment took place to understand the power that was needed for the destruction of the virus, using a horn antenna, with the viral samples being placed below it. The results showed that between 6 to 12 GHz was necessary for the destruction of the viruses with input powers from 0.57 to 3.92 W [11].
We propose here a new methodology and procedure for the remote microwave thermal sterilization of infected surfaces using antennas and electromagnetic (EM) waves at microwave frequencies. The technique is modeled and developed to act against the SARS-CoV-2 causing the COVID-19 disease. The technique can be used in various medical scenarios, such as hospital rooms or ambulances, for contact-less sterilization and virus deactivation. The level of required energy and the possible automation of the system in particular, clearly differentiates the proposed method from other sterilization approaches. For example, only a few Watts are required, offering remote operation with RF beam focusing, not requiring the operator to come in contact with the contaminated surface. In contrast to a more conventional disinfectant spray, this approach is not targeted and focused; i.e., it typically generates a cone of liquid vapour that disperses in air and further requires manual wiping and cleaning by an operator. In fact, a harsh disinfectant would need to be wiped by an operator, which is not always possible, time efficient or recommended.
The proposed methodology is based on self-steering or retrodirective antenna arrays (RDAs) [12]-[14], which have recently been shown to be advantageous for wireless power transmission systems in the remote charging of batteries within smart phones, tablets, and other devices [15], [16]. There are two basic types of RDAs: passive and active. In the former, the frequencies of the beacon signal and of the re-transmitted signal are typically the same, whereas in active RDAs the two signals can have different frequencies to minimize unwanted electromagnetic coupling. Active RDAs operate by signal heterodyning and are typically referred to as Pon RDAs [12]. Other applications for RDAs include [13], [14] wireless communications, remote sensing, and imaging.
The origin point of the beacon signal can be automatically tracked by the RDA without a priori knowledge of its physical position. Therefore, an RDA is capable of transmitting a signal back to the beacon location automatically. The main concept of our proposed approach is that the object under sterilization (OUS) has a thin water film and a small antenna on it. The antenna generates the radio beacon (see Figs. 1 and 2), allowing the RDA to localize the OUS, to steer its beam towards it, and to start to transfer power wirelessly for remote microwave thermal sterilization and prompt pathogen deactivation.
Fig. 1.
System overview of an RDA operating as a remote microwave thermal sterilizer. The beacon signal transmitter allows for localizing the OUS and the RDA re-radiates power towards that direction.
Fig. 2.
Illustration of the microwave thermal sterilization process for a medical device where a liquid film has been applied on it: (a) The medical device sends a beacon signal towards the RDA, (b) RDA receives the beacon signal and starts to transmit power towards to the medical device, (c) the required temperature of the liquid film has been achieved, and (d) the microwave thermal sterilization has been completed.
Existing WiFi transmitters for data communications could be exploited as the beacon signal [15], [16]. This is because the OUS could be medical devices, tablets, and other IoTs, which might connect to conventional wireless local area networks (whose connection is based on beacon signals) within hospitals, ambulances, and other care facilities for example. If needed, small beacon transmitters could be anyway placed on the required surfaces by operators, enabling hands-free sterilization. This can have significant benefits as the radiated beam can be steered automatically towards the contaminated surface, whilst the operator need not to physically touch it. Furthermore, the proposed RDA sterilization approach could be positioned within the walls of ambulances, for example, and in proximity of other indoor facilities making the system completely autonomous. It could also be made handheld for operators with a given steered beam or fixed to be perpendicular (or broadside) to the sterilizing antenna unit which generates EM waves.
The paper is divided into three parts. The first part deals with the theoretical approach and modeling of the problem. Firstly, the microwave thermal sterilization process using a Pon RDA is analytically described by modeling a medical device as a rectangular surface, which is then sprayed with a thin film of liquid water. This is treated as the OUS in Section II. The required energy for the sterilization process is examined through simulations and numerical calculations using a commercial full-wave EM solver. As the system operates in the near-field (NF), conventional physical quantities, like the radar cross section (RCS) and the power transferred by the RDA are evaluated.
In the second part, the operation of the RDA is simulated and experimentally verified. As outlined in Section III, the OUS is represented by a rectangular surface comprised of two patch antennas operating at two distinct frequencies (2.4 GHz and 2.5 GHz). One acts as the beacon while the other as the effective aperture surface, as required to physically measure the retrodirected high-power signal by the Pon RDA. A parametric analysis has also been developed for some variable distances and angles. The theoretical results of the first section are then compared with simulations and measurements. The power radiated at 2.4 GHz is set at a level capable of achieving the required temperature to start the sterilization, abiding by the relevant international safety protocols.
In the third part, virus inactivation was investigated using an open-end microwave cavity as described in [17]. To experimentally study the inactivation, the human coronavirus strain 229E with a green fluorescent protein (GFP) tag (CoV-229E-GFP) was used [18]. After microwave exposure, residual infectivity was determined by infection of virus-susceptible Huh7 cells and measurement of the replication growth curves. Results are presented in Section IV. Finally, it is demonstrated that microwave induced heating of liquid films to 60
C with an open end microwave cavity can lead to protein denaturation, as visually observed for a solution of egg white, and deactivation of the CoV-229E-GFP strain, as demonstrated by the aforementioned experiment. A short discussion and conclusion follows.
II. Microwave Thermal Sterilization Technique
This section describes the microwave thermal sterilization technique of the OUS by using an RDA and the beacon signal. Classic thermodynamic theory, in combination with conventional wireless power transfer (WPT) and radar techniques, are considered. A test case with an RDA radiating towards a rectangular plate, sprayed with a water layer (assumed as the OUS), from different distances and angles is described. A numerical model of the time required to start the microwave thermal sterilization is developed.
A. Description of the Microwave Thermal Sterilization System
The system is illustrated in Fig. 1, where the RDA system emits the desired level of microwave power needed to start the microwave thermal sterilization.
The microwave thermal sterilization process is detailed in Fig. 2: a) the contaminated heart rate monitor (or any generic medical device, equipment, etc.) is covered by a liquid film at room temperature (25
C), b) the medical device sends the beacon radio signal though a small integrated antenna, c) the RDA receives it and, because of the phase conjugation mechanism made possible by the Pon heterodyne circuit system [12], it steers and radiates power back towards the medical device for a certain temporal interval. As discussed in [6], the virus is deactivated at a minimum temperature of 60
C. The required amount of power and time needed for the liquid film to reach 60
C are discussed in the following.
Given the electrically large aperture size for the RDA required to achieve the desired incident power on the OUS positioned at a distance
and the relevant path losses, it expected that the RDA should operate in the NF. The boundary between the NF and the far-field (FF) operation is conventionally approximated by
, where
is the maximum linear dimension of the antenna and
is the wavelength in free-space [19]. Given the RDA transmitted power (i.e.,
) and its gain (i.e.,
), it is possible to calculate the power impinging on the OUS. Indicating with
and
, the elevation incidence angle and the azimuthal incidence angle towards the RDA (Fig. 3), the incident power is given by
![]() |
where
is the target radar cross section (RCS) [20], [21].
Fig. 3.
Orientation of the RDA with respect to a rectangular plate (OUS). The beacon signal transmitter allows for localizing the OUS and the RDA transmits power in the NF by an antenna array made by
elements towards that direction.
As a test case, we consider here a flat rectangular plate OUS with dimensions
,
. The coordinates of the source position are
where
. A simple formula for the RCS of a rectangular plate in the NF is given in the following [22]:
![]() |
where the Fresnel integral is defined as
and the following definitions holds:
,
. On this basis, the
,
,
and
functions are given by
![]() |
where
![]() |
B. Simulation of the Radiated Power
We evaluate here the incident power given by (1) performing a simulation. The RDA system is composed of a two-element array operating at 2.5 GHz with input power
= 1 W (3 W also considered for comparison); a rectangular water layer (i.e, the OUS) with dimensions
= 14 cm,
= 8 cm, thickness
= 0.25 mm is included in the simulation. The OUS is rotating from -90
to 90
along the azimuthal angle (
), keeping constant the elevation angle (
). In each rotation the RDA beam was steered towards the OUS direction and the power incident on it was recorded, evaluating the antenna gain (
) is at the relevant direction by (1). The plots in Fig. 4 show the results for two different distances, for
= 10 cm and
= 25 cm; in both cases the RDA operates within the NF.
Fig. 4.
Incident power generated by a 2×1 RDA, for two different input power levels (i.e., 1 W and 3 W); upon on a rectangular water-based aperture considering distances (a)
= 10 cm and (b)
= 25 cm.
C. Required Energy for Microwave Thermal Sterilization
The microwave thermal sterilization of an object requires to control the involved physical parameters, such as the required thermal energy, the temporal duration, and the dimensions of the surface under sterilization. An object with a given mass and heat capacity can be described with the specific heat
[23], defined as the ratio between mass and capacity [24]. Thus, the energy stored by the substance can be calculated as
[25], where
is the required heat energy for increasing the temperature of the substance.
is the differential temperature between the initial and the final states of the substance and
is the mass of the substance, which can be expressed in terms of the volume (
) and the density (
) of the substance as
[26]. Assuming that a source transfers thermal energy, the difference in temperature of the substance is equal to
. In a time interval
, therefore, the needed power is given by
[27].
Combining (1) with the aforementioned basic energy equations a numerical model of the time needed to increase the temperature is developed. Given the OUS volume, density and heat capacity, the original and desired final temperature, RCS, RDA gain as well as the distance between the two devices, the following expression can retrieved:
![]() |
The formula in (6) is considered here to evaluate the performance of the system constituted by a 2×1 RDA and the rectangular water layer. The desired temperature was set to 60
C, whilst the original temperature was assumed equal to 25
C. The specific heat capacity of water is
, its density is
, and its volume is
[28]. Fig. 5 presents the total time needed for the sterilization of water in terms of various distances and azimuthal angles with respect to the RDA, setting a transmitted power
= 1 W and 3 W. The results in Fig. 5 demonstrate that the azimuthal angles between the RDA and the OUS required to reach the desired temperature to start the microwave thermal sterilization has a significant impact on the time. As expected, the minimum value is achieved at broadside, (i.e.;
= 0
). This is because the antenna gain decreases off broadside, highlighting the importance of the self-steering RDA. It should be mentioned that higher input power (
) and directivity can help to reduce the sterilization time.
Fig. 5.
Required time to heat the water film to 60
C to induce the sterilization of the coronavirus. Water layer aperture as in Fig. 4. For
30
azimuthal angles the time is less than 5 min, for an input power of 3 W. It is expected that with increased levels of power, sterilization time can decrease.
In order to validate the formula in (6) the time required for raising the temperature by 1
C was assessed through a simple experimental setup. This included a single-element patch antenna (linearly polarized) operating at 2.5 GHz and a rectangular aluminium (
) target covered by a water layer (
0.5 cm), placed within an anechoic chamber (Fig. 6). A signal generator (Keysight MXG N5183B) was used with output power equal to
15 dBm, connected in series with a 30 dB power amplifier (MiniCircuits ZFL-2500+) so that the input power at the antenna was
= 15 dBm (i.e.,
0.03 W). The relative distance between the antenna and the target was set to 10 cm and the incident angle at 0
. Based on these values and the estimated required time for the changing of temperature by 1
C is about 3.5 hours. The original temperature of the target was measured to be 20.3
C through a digital laser temperature gun. After 3.5 hours the measured temperature was 21.4
C. The temperature around the water layer was also monitored with a digital thermometer equipped by a probe; this temperature was 18.6
C at the beginning of the experiment and 19.4
C at the final target temperature making these results consistent with (6).
Fig. 6.
Experimental setup: the relative position between target and the single-element patch antenna was set to 10 cm; incident angle equal to 0
.
III. Near-Field RDA
A. Pon-Based RDA Design and Operation
The Pon RDA is a heterodyne system that avoids the use of circulators since the transmit and receive arrays are isolated; the structure uses RF mixers to provide retrodirectivity by phase conjugation [14]. This principle is simple and well established, it exploits the product between two input signal tones [12], which constitutes the RF input signal and the local oscillator signal (LO). Gain blocks (namely, amplifiers) are typically employed to boost the retrodirected power. The Pon RDA designed in this work follows [15] and collects the beacon signal with a receiving array (with one polarization) and it retrodirects the radiation back to the OUS with a high-power transmitting array with another polarization. The radiating element in this RDA architecture is a two-element circularly polarized (CP) patch array. CP operation is needed to avoid potential polarization mismatches between the target and the RDA while also allowing for orientation free movement of the OUS. Element decoupling strategies were not considered for simplicity in our work, as element coupling values were −20 dB or less. Different approaches, such as in [29], [30], can be adapted to our design if better performance is needed.
To test the performance of the RDA system in the NF, an RDA system with lower gain and reduced cost when compared to [15], was designed with FR-4 material constituting a simple demonstrator as shown in Fig. 7 (see inset). The tracking plane is perpendicular to the RDA aperture containing the two-element arrays. Thus, each RF chain is defined by a receiving CP antenna element, a mixer (Linear Technology), a driver amplifier from (MiniCircuits ZFL-2500+), a power amplifier (TriQuint TQP9111), and a CP transmitting antenna.
Fig. 7.
Measured received power at different distances from the RDA (broadside) in comparison with the theoretical expected power using the free-space path loss model (FSPL) and the indoor propagation ITU model [31]. The arrays for the dual-pol Pon RDA prototype (using CP antenna elements) are shown in the inset. RF components: including mixers (1), amplifiers (2 and 3), power dividers (4) and voltage control oscillators (5). CP antenna elements are employed to provide orientation flexibility for the OUS and the RDA.
Considering a two-element Pon-RDA, the received beacon signal at the antenna elements (i.e.,
) goes directly into the RF port of each mixer. It should be mentioned that all mixers share a common LO to ensure consistent reference. The output signal is then phase conjugated [12], thus an inverted progressive phase difference between antenna elements is achieved, resulting in a wavefront (
) propagating towards the same direction as the beacon signal generated by the OUS. This process occurs in real-time, thereby performing analog signal processing [32].
The power received at broadside and at different distances from the OUS has been measured as shown in Fig. 7. The following NF expression for the path loss is considered [33]:
![]() |
where
is the gain of the transmitter,
is the gain in reception,
is the free-space wavenumber. The measured received power well approximates the trend for the free-space path loss model (Fig. 7). However, there is poor agreement with the indoor propagation model after about 1 m [31] which takes into consideration multipath effects. Such disagreement is justified in the fact that the measurements were made inside an anechoic chamber, replicating a free-space environment.
Monostatic and bistatic measurements were completed for proof of concept (see Figs. 8 to 10). The procedure to acquire monostatic and bistatic patterns is illustrated in Fig. 7 of [15]. The bistatic pattern corresponds to the radiation pattern of the RDA when the beacon tone is set at a given angle. To test the tracking capabilities of the RDA, several bistatic patterns at different angular positions of the beacon signal are considered. The transmit signal of the OUS, i.e., the beacon, is kept at a given angle, while the receiver patch (which samples the field) rotates around to map the complete beam pattern for a given angular range. Therefore it is expected that the RDA will be continuously pointing and tracking its maximum back towards the beacon OUS.
Fig. 8.
Monostatic measurements for various ranges; i.e. RDA to the OUS.
Fig. 10.
Bistatic measurements (circles) and simulations (cont. lines) for different ranges and angles: (a) 10 cm and (b) 25 cm, (i) −20
, (ii) 0
and (iii) 20
.
Results of the monostatic measurements can be found in Fig. 8. A comparison of the normalized received power of the patch antenna for a range from −50
to 50
and of various distances from NF to FF is presented. The boundary in this case is at 35 cm. Respectively, results of the bistatic measurements can be found in Fig. 9. Comparison of the normalized received power for a range from −50
to 50
and of various distances from NF to FF, as well, for five given angles
: (a) 0
, (b) −30
, (c) −15
, (d) 15
and (e) 30
.
Fig. 9.
Bistatic measurements in the NF at different angles and distances for the proposed RDA: (a) 0
, (b) −30
, (c) −15
, (d) 15
and (e) 30
.
Bistatic measurements at 10 cm and 25 cm have also been made and compared in this case to the simulations in Fig. 10. In Fig. 10(a) it can be observed that measurements and simulations have a similar field pattern. Despite the difficulties to make the measurements with high accuracy (the mechanical supports were very close together for the RDA and patch receiver), the shape of the measured points follows the expected trend. On the other hand, in Fig. 10(b), the measured points match very well to that of the expected pattern shape, also demonstrating that the required NF traking is possible.
B. Health and Safety Discussion
The International Commission on Non-Ionizing Radiation Protection (ICNIRP) has set limitations on exposure to electromagnetic fields. There are two exposure scenarios, one for the occupational and one for the general public. Those two have different limits, in three categories. The first one refers to the whole body exposure and the others to the local head/torso and the local limb exposures, respectively. There are a number of different ways the exposure can be measured, the most common being the specific energy absorption rate (SAR, W/Kg). Table II shows the exposure limits for the five aforementioned categories, from 100 kHz to 6 GHz. The restrictions refer to average intervals of 30 minutes in terms of the whole-body average SAR and 6 minutes for the local SAR [34].
TABLE II. Electromagnetic Field Exposure Restrictions Limits, Based on ICNIR, From 100 kHz to 300 GHz [34].
| Exposure | Whole-body av. | Local Head/Torso | Local Limb |
| scenario | SAR W/Kg | SAR W/Kg | SAR W/Kg |
| Occupational | 0.4 | 10 | 20 |
| General Public | 0.08 | 2 | 4 |
IV. Virus Deactivation Through Microwave Radiation Experiments
This section describes the microwave heat experiment for coronavirus strain CoV-229E-GFP deactivation. The experiment demonstrated the protein denaturation and coronavirus deactivation, using a microwave open ended cavity system, which induced microwave heating of aqueous films.
A. Inactivation of the Virus
The microwave open ended cavity system used for the heat experiments was originally developed to enable rapid bonding of individual microelectronic components on a board assembly [17], [35], [36]. This system has an advantage of volumetric and uniform heating, selective energy deposition with reduced processing times and increased energy efficiency. Microwave heating was achieved using this open-ended single mode resonant microwave applicator/oven which has been described in [35]. Test specimens consisted of 200
l of Cov-229E-GFP diluted to a multiplicity of infection (MOI) of 0.3 in DMEM, in a cuvette of internal volume 8 mm × 8 mm × 8 mm. The samples were then heated at a constant ramp up rate of 1.5
C/s to the chosen inactivation temperature (50, 60, 70 and 100
C) held for varying amounts of time (10 seconds to 60 seconds). Residual virus infectivity was determined by infection of virus-susceptible Huh7 cells and measurement of virus replication growth curves as a function of the GFP fluorescence.
Fig. 11 shows the set and measured temperature profiles and net input power for a 70
C temperature cycle with 60 seconds set hold time. The net input microwave energy for this temperature cycle is 164 Joules, approximately. Fig. 12 indicates the survival rates of virus at various temperatures and exposure durations. It can be seen that the virus survival decreases with both time and temperature with a maximum of 30% virus death at 60
C, and 100% virus death following exposure to 70
C for 30 seconds.
Fig. 11.
Net microwave power along with the temperature profile for a 70
C heating cycle experiment with the virus suspension for 60 s hold time period.
Fig. 12.
Survival rates of virus when exposed to the microwaves in an open ended microwave cavity for 10-60 s at four different temperatures: 50 °C, 60 °C, 70 °C and 100
C.
B. Visual Thermal Assay Based on Protein Denaturation
In order to demonstrate that microwave-induced heating of aqueous films can lead to protein denaturation and virus deactivation, an open microwave cavity as described above is used to irradiate protein solution (1:1 mixture of hen egg white and phosphate buffered saline (PBS) at pH 7.4). The protein solution was monitored for 2 minutes where there was an obvious colour change from colourless to white. The transparent solution turns white opaque upon irradiation, therefore giving a direct visual indication that the protein denatured and gelled. Hen egg white proteins are known to denature at 60
C [37]. This was also confirmed by another controlled experiment in which the egg white/PBS solution was thermally heated to 60
C. To this end, approximately 500
L of the solution was pipetted onto a glass microscope slide. A second slide was placed on top of the solution to minimise loss of solution by evaporation. This was then placed on a variable temperature hotplate set to 60
C. This experiment was repeated with the open ended cavity system with a heating ramp up from 25 to 60
C at 1
C/s and a hold time of 60 seconds. In this second experiment, the solution was monitored for 2 minutes where there was an obvious colour change from colourless to white (Fig. 13) similar to the hotplate experiment.
Fig. 13.
Microwave heated protein solution result to 60
C by microwave irradiation. (a) Colourless solution before being thermally heated. (b) White solution after thermal heating. The white colour in the solution shows that the protein has been denatured and gelled.
While these three sets of experiments show that microwave irradiation of thin aqueous films to above 60 or 70
C can lead to protein denaturation and virus deactivation, it has to be emphasized that these experiments were done with a simpler microwave set-up as the one outlined in this publication, because the current RDA prototype does not yet have a powerful enough power source and beam directivity to deliver the required radiation intensities. Nevertheless, the experiments show that microwave heating to a modest 60
C is sufficient to achieve the desired damage to proteins and to viruses, respectively, and therefore to sterilize surfaces demonstrating proof-of-concept for the proposed methodology and approach for remote microwave sterilization. Two videos can also been found in the supplementary information about the hotplate and microwave cavity denaturing of egg white.
V. Conclusion
A sterilization method applicable against the new coronavirus has been presented in this paper. The technique requires a small transmitter suitably positioned on the OUS to provide its location. The RDA receives the transmitted beacon signal and transmits power to the OUS until it reaches the desired temperature. A study has been done to test the tracking capabilities of the Pon RDA in the NF.
A liquid film of water was considered to produce heat for sterilization and the amount of power needed to deactivate the coronavirus was calculated. More specifically, the total time needed to reach 60
C. The studied liquid film has dimensions
= 14 cm,
= 8 cm and thickness
= 0.25 mm, whilst the total input power of the RDA is 3 W, maintaining below the exposure limits. The results showed that the study can be feasible for an azimuthal angle range from −40
to 40
and a distance
= 10 cm. For
= 25 cm the range reduced from −20
to 20
. At the best case scenario (i.e., an OUS placed at broadside and
= 10 cm) less than 4 minutes were needed to complete the required heating and the sterilization process. Better performances can be achieved indeed by increasing the power of the transmitter or increasing the aperture size of the RDA. Experiments have also been conducted to demonstrate that microwave-induced heating of aqueous films can lead to protein denaturation and virus deactivation. Measurements from these experiments show that the deactivation of viruses due to microwave induced heat is possible above 60
C and can be achieved with
99.9% certainty at 70
C above 20 seconds.
Supplementary Materials
Biographies

Konstantinos Kossenas was born in Chios, Greece, in 1993. He received the Diploma in electrical and computer engineering (Integrated B.S.E.E & M.S.E.E) from the Aristotle University of Thessaloniki, Thessaloniki, Greece, in 2017. He is currently working toward the Ph.D. degree with the University of Edinburgh, Edinburgh, Scotland, and Heriot-Watt University, Edinburgh, Scotland.
His research interests include the analysis and design of microwave and antenna technologies. He was bestowed a Young Scientist Award in 2021 from The International Union of Radio Science (URSI).

Symon K. Podilchak (Member, IEEE) received the B.A.Sc. degree in engineering science from the University of Toronto, Toronto, ON, Canada, in 2005, and the M.A.Sc. and Ph.D. degrees in electrical engineering from Queen’s University, Kingston, ON, Canada, in 2008 and 2013, respectively.
From 2013 to 2015, he was an Assistant Professor with Queen’s University. In 2015, he joined Heriot-Watt University, Edinburgh, U.K., as an Assistant Professor, and became an Associate Professor in 2017. He is currently a Senior Lecturer with the School of Engineering, The University of Edinburgh, Edinburgh, Scotland. His research interests include surface waves, leaky-wave antennas, metasurfaces, UWB antennas, phased arrays, and RF integrated circuits.
He is also a Registered Professional Engineer (P.Eng.) and has had industrial experience as a Computer Programmer, and has designed 24 and 77 GHz automotive radar systems with Samsung and Magna Electronics. Recent industry experience also includes the design of high frequency surface-wave radar systems, professional software design and implementation for measurements in anechoic chambers for the Canadian Department of National Defence and the SLOWPOKE Nuclear Reactor Facility. He has also designed compact antennas for wideband military communications, highly compact circularly polarized antennas for CubeSats with COM DEV International and The European Space Agency (ESA), and, new wireless power transmission systems for Samsung.
Dr. Podilchak and his students were the recipient of many best paper awards and scholarships, most notably Research Fellowships from the IEEE Antennas and Propagation Society (AP-S), the IEEE Microwave Theory and Techniques Society (MTT-S), the European Microwave Association, and six Young Scientist Awards from the International Union of Radio Science (URSI). He was also the recipient of the Postgraduate Fellowship from the Natural Sciences and Engineering Research Council of Canada (NSERC). In 2011, 2013 and 2020, He and his students received Student Paper Awards at the IEEE International Symposium on Antennas and Propagation, and in 2012, the Best Paper Prize for Antenna Design at the European Conference on Antennas and Propagation for his work on CubeSat antennas, and in 2016, he was the recipient of the European Microwave Prize for his research on surface waves and leaky-wave antennas. In 2017 and 2019, he was bestowed a Visiting Professorship Award at Sapienza University, Rome, Italy, and from 2016 to 2019, his research was supported by a H2020 Marie Sklodowska-Curie European Research Fellowship. He was recognized as an Outstanding Reviewer of the IEEE Transactions on Antennas and Propagation, in 2014 and 2020. He was also the Founder and First Chairman of the IEEE AP-S and IEEE MTT-S Joint Chapters in Canada and Scotland, in 2014 and 2019, respectively. In recognition of these services, he was presented with an Outstanding Volunteer Award from IEEE in 2015, and in 2020, MTT-S recognized this Scotland Chapter for its activities and it was awarded the winner of the Outstanding Chapter Award. He has also served as a Lecturer for the European School of Antennas and Associate Editor for the IET Electronics Letters. He is currently a Guest Associate Editor of the IEEE Open Journal of Antennas and Propagation and IEEE Antennas and Wireless Propagation Letters. He was also the recipient of the Outstanding Dissertation Award for his Ph.D.

Davide Comite (Senior Member, IEEE) received the master’s degree (cum laude) in telecommunications engineering and the Ph.D. degree in electromagnetics and mathematical models for engineering from the Sapienza University of Rome, Rome, Italy, in 2011 and 2015, respectively. He is currently a Postdoctoral Researcher with Sapienza University of Rome. From March to June 2014, he was a Visiting Ph.D. Student with the Institute of Electronics and Telecommunications of Rennes, University of Rennes 1, Rennes, France, and in 2015, he was a Postdoctoral Researcher with the Center of Advanced Communications, Villanova University, Villanova, PA, USA.
His scientific research interests include the study and design of leaky-wave antennas, 2-D periodic leaky-wave antennas, the generation of non-diffracting waves and pulses, the study of the scattering from natural surfaces, the GNSS reflectometry, and radar altimeter applications over the land. His interests also include microwave imaging and object detection performed through GPR, and the modeling of the radar signature in forward scatter radar systems. He is a Senior Member of URSI. He was the recipient of a number of awards at national and international conferences. Most recently, he was the recipient of the Young Scientist Award at URSI GASS 2020 and Publons Top Peer Reviewers Award for both Geoscience and Engineering, in 2018, and for Cross-fields in 2019. In 2019 and 2020, he was recognized as an Outstanding Reviewer of the IEEE Transactions on Antennas and Propagation by the IEEE Antennas and Propagation Society. In 2020, he was awarded as the Best Reviewer for the IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing. He is currently a Reviewer for several international journals. He is also an Associate Editor for the IET Journal of Engineering, the IET Microwaves, Antennas and Propagation, and IEEE Access.

Pascual D. Hilario Re was born in Murcia, Spain. He received the B.Eng. and M.Sc. degrees in telecommunications engineering from the Universidad Politécnica de Cartagena, Cartagena, Spain, in 2012 and 2015, respectively, and the Ph.D. degree from Heriot-Watt University, Edinburgh, U.K., in 2019.
His current research interests include retrodirective systems, wireless power transmission applications, automotive radar, and analysis and design of power amplifiers.

George Goussetis (Senior Member, IEEE) received the Diploma in electrical and computer engineering from the National Technical University of Athens, Greece, in 1998, the B.Sc. degree in physics (Hons.) from University College London, London, U.K., in 2002, and the Ph.D. degree from the University of Westminster, London, U.K., in 2002. In 1998, he joined Space Engineering, Rome, Italy, as an RF Engineer, and in 1999, he was a Research Assistant with the Wireless Communications Research Group, University of Westminster. From 2002 to 2006, he was a Senior Research Fellow with Loughborough University, Loughborough, U.K. He was a Lecturer (Assistant Professor) with Heriot-Watt University, Edinburgh, U.K., from 2006 to 2009, and a Reader (Associate Professor) with Queen’s University Belfast, U.K., from 2009 to 2013. In 2013, he joined Heriot-Watt, as a Reader, and was promoted to a Professor, in 2014.
He has authored or coauthored more than 200 peer-reviewed papers, five book chapters, one book, and two patents. His research interests include the modeling and design of microwave filters, frequency-selective surfaces and periodic structures, leaky wave antennas, microwave sensing, and curing as well numerical techniques for electromagnetics. He has held a Research Fellowship with the Onassis Foundation in 2001, a Research Fellowship with the U.K. Royal Academy of Engineering from 2006 to 2011, and a European Marie-Curie Experienced Researcher Fellowship from 2011 to 2012. He was the co-recipient of the 2011 European Space Agency Young Engineer of the Year Prize, the 2011 EuCAP Best Student Paper Prize, the 2012 EuCAP Best Antenna Theory Paper Prize, and the 2016 Bell Labs Prize.

Sumanth K. Pavuluri received the B.Tech. degree in electronics and communications engineering from Jawaharlal Nehru Technological University, Hyderabad, India, the M.Sc. degree in microsystems engineering from Heriot-Watt University, Edinburgh, U.K., and the Ph.D. degree from Heriot-Watt University, in 2004, 2005, and 2011, respectively.
After completing his Ph.D. in 2011 on micro machined antennas. He joined Heriot-Watt University, where he is currently a Postdoctoral Research Associate. In 2008, he worked on highly sensitive micro machined microwave sensors for biological and chemical material detection based on waveguides loaded with a frequency selective surface. This work was a finalist in IEEE Microwave Theory and Techniques (MTT) Microwave Measurement Competition in 2009. He also worked on the Frequency Agile Microwave Oven Bonding System (FAMOBS) from February 2009 to October 2011 and developed patentable new generation open-ended oven prototypes for uniform and efficient curing of microwave chips. This project work reached a technology readiness level of 5. He also worked on commercial automated remote sensing devices for road surfaces in 2012. After working on a Scottish Enterprise high growth spin out project on a patented sensor system product for reducing wastage in the food & drink industries from 2015 to middle of 2017, he successfully spun-out a company, MicroSense Technologies Limited, along with Prof. Marc Desmulliez. MicroSense was the 2016 winner of the Converge Challenge, the Scottish company creation competition, and was commended in 2018 with an IET Innovation Award. MicroSense has also featured recently in January 2019 in BBC showcasing a new product development from the company.
In 2017 and 2018, he was a Member of the Heriot-Watt Group in the EPSRC-funded project Sonopill, working on the electronics design and packaging of ingestible medical devices that are for various exploratory sensor systems for integration into capsules.
His current research interests include medical diagnostics, medical electronics including telemetry and packaging, novel micro fabrication, micromachining methods for RF and acoustic devices for bio medical applications, microwave sensing, curing, and integrated circuit packaging.

Samantha J. Griffiths was born in Gloucester, England. She received the B.Sc. (Hons.) degree in molecular biology and biochemistry from Durham University, Durham, U.K., in 1999 and the Ph.D. degree in molecular virology from University College London, London, U.K., in 2003. Her research focussed on the molecular cellular determinants of virus infection and pathogenesis, and current research focuses on the detailed study of pathogen-host interactions using high-throughput screening and validation technologies.

Robert J. Chadwick Rob Chadwick studied Applied Chemistry (MChem) at Northumbria University, Newcastle Upon Tyne (UK). He is currently studying for a PhD in chemistry under the supervision of Prof. Nico Bruns at the University of Strathclyde, Glasgow (UK). He works on biocatalytic polymerisations with a focus on reversible-deactivation radical polymerisations (also known as controlled radical polymerizations) catalysed by metalloproteins.

Chao Guo studied Microbiology (Msc) at the University of Chinese Academy of Sciences, China. He started his PhD project, supervised by Prof. Nico Bruns, at the University of Strathclyde (UK) in 2018. He now works on the engineering of metalloproteins for controlled radical polymersations.

Nico Bruns received the Ph.D. degree in macromolecular chemistry from the University of Freiburg, Germany, in 2007.
He is Professor of macromolecular chemistry at the Department of Pure and Applied Chemistry of the University of Strathclyde, Glasgow, U.K. After a postdoc at the University of California, Berkeley, he joined the University of Basel in Switzerland where he received the Venia Docendi for Chemistry in 2014. From 2013 to 2018 he was Associate Professor of Macromolecular Chemistry at the Adolphe Merkle Institute of the University of Fribourg, before he moved to Scotland. His research interests are bio-inspired polymer chemistry and the use of proteins and enzymes in technical and chemical applications.

Christine Tait-Burkard received the BSc and MSc in biology, major biochemisty from the Swiss Federal Institute of Technology (ETH) Zurich, Switzerland, and a Ph.D. in virology from Utrecht University, the Netherlands.
Since 2017, she is an Assistant Professor at The Roslin Institute/University of Edinburgh in the departments of Genetics and Genomics and Infection and Immunity. She is an expert on coronaviruses and arteriviruses. Her research focuses on understanding hostpathogen interactions on a cellular and genetic level, developing new in vitro tools for virus research, improving and developing easy-to-use diagnostics, and devising strategies to combat viral disease.

Jürgen G. Haas is currently the Head of infection medicine and a Professor of viral genomics with the University of Edinburgh, Edinburgh, U.K. He is also an honorary NHS Consultant Virologist with Royal Infirmary Edinburgh. After undergraduate studies in medicine and biology, he held Postdoctoral Trainings with Munich and Harvard University, Cambridge, MA, USA, followed by a medical specialist training in microbiology with the Universities of Heidelberg, Heidelberg, Germany, and Munich. Before he joined the University of Edinburgh in 2006, he was Associate Professor with the University of Munich.
His research focuses on the identification and characterization of virus-host interactions that are crucial for the pathogenesis and affect susceptibility and pathogen virulence. Using genome-wide protein interaction and RNA interference screens screens, his laboratory has identified key events in the viral life cycle for a range of several different viruses, including Herpes simplex virus type 1 (HSV-1), Food and Mouth Disease virus (FMDV) and high risk Human Papilloma virus 16 (HPV-16). In HSV-1, he is currently working on cellular factors that affect viral entry and the potential role of HSV-1 in neurodegenerative diseases. In FMDV, the research work identified host factors that can be exploited for vaccine development and the generation of FMDV-resistant pigs. In HPV, novel cellular tumour suppressor that inhibits E7-mediated oncogenesis is being investigated. Another current research focus are novel mechanisms of viral inhibition that can be used for antiviral therapy.

Marc P. Y. Desmulliez (Senior Member, IEEE) received the Ph.D. degree in optoelectronics from Heriot-Watt University, Edinburgh, U.K., in 1995. He is currently a Professor of microsystems engineering with the Multi-Modal Sensing and Micro-Manipulation Research Group, Heriot-Watt University. He has coauthored more than 470 publications in the fields of microwave engineering, novel manufacturing technologies, and optoelectronics.
Funding Statement
This work was supported in part by Engineering & Physical Research Science (EPSRC) funding agency through the platform grant “Multi-Modal Manufacturing of Medical Devices (4mD)” under Grant EP/P027415/1, in part by the Biotechnology and Biological Sciences Research Council Institute Strategic Program grant funding The Roslin Institute under Grants BBS/E/D/20241866, BBS/E/D/20002172, and BBS/E/D/20002174. The work of Jürgen G. Haas was supported by Grants BBSRC BB/T003138/1, MRC MR/P011349/1 and IMI2 CARE.
Contributor Information
Konstantinos Kossenas, Email: K.Kossenas@sms.ed.ac.uk.
Symon K. Podilchak, Email: s.podilchak@ed.ac.uk.
Davide Comite, Email: davide.comite@uniroma1.it.
Pascual D. Hilario Re, Email: ph43@hw.ac.uk.
George Goussetis, Email: G.Goussetis@hw.ac.uk.
Sumanth K. Pavuluri, Email: Sumanth_Kumar.Pavuluri@hw.ac.uk.
Samantha J. Griffiths, Email: samantha.griffiths@ed.ac.uk.
Robert J. Chadwick, Email: robert.chadwick@strath.ac.uk.
Chao Guo, Email: chao.guo@strath.ac.uk.
Nico Bruns, Email: nico.bruns@strath.ac.uk.
Christine Tait-Burkard, Email: Christine.Burkard@roslin.ed.ac.uk.
Jürgen G. Haas, Email: juergen.haas@ed.ac.uk.
Marc P.Y. Desmulliez, Email: m.desmulliez@hw.ac.uk.
References
- [1].WHO. Coronavirus Disease (covid-19) Pandemic. 2020. [Online]. Available: https://www.who.int/emergencies/diseases/novel-coronavirus-2019
- [2].Heilingloh C. S. et al. , “Susceptibility of SARS-cov-2 to UV irradiation,” Amer. J. Infection Control, vol. 48, no. 10, pp. 1273–1275, 2020. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [3].Otter J., Donskey C., Yezli S., Douthwaite S., Goldenberg S., and Weber D., “Transmission of SARS and MERS coronaviruses and influenza virus in healthcare settings: The possible role of dry surface contamination,” J. Hosp. Infection, vol. 92, no. 3, pp. 235–250, 2016. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [4].Casanova L., Rutala W., Weber D., and Sobsey M., “Survival of surrogate coronaviruses in water,” Water Res., vol. 43, pp. 1893–8, 2009. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [5].Doremalen N. van et al. , “Aerosol and surface stability of SARS-cov-2 as compared with SARS-cov-1,” New England J. Med., vol. 382, no. 16, pp. 1564–1567, 2020. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [6].Abraham J., Plourde B., and Cheng L., “Using heat to kill SARS-cov-2,” Rev. Med. Virol., vol. 30, 2020, Art. no. e2115. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [7].William R. A., Weber D. J., Healthcare Infection Control Practices Advisory Committee (HICPAC): Guideline for Disinfection and Sterilization in Healthcare Facilities. 2008. [Online]. Available: https://www.cdc.gov/infectioncontrol/guidelines/disinfection/
- [8].Mata-Portuguez V., Sanchez L., and Acosta-Gio E., “Sterilization of heat-resistant instruments with infrared radiation,” Infection Control. Hosp. Epidemiol.: Official J. Soc. Hosp. Epidemiol. Amer., vol. 23, pp. 393–396, 2002. [DOI] [PubMed] [Google Scholar]
- [9].American S.. How the Microwave Works. 2008. [Online]. Available: https://www.scientificamerican.com/article/how-the-microwave-works/
- [10].Frazer. Disinfecting Ems Vehicles With Ultraviolet Light. 2020. [Online]. Available: https://www.frazerbilt.com/blog-ambulance-disinfection-system/
- [11].Yang S. C. et al. , “Efficient structure resonance energy transfer from microwaves to confined acoustic vibrations in viruses,” Sci. Rep., vol. 5, 2015, Art. no. 18030. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [12].Pon C., “Retrodirective array using the heterodyne technique,” IEEE Trans. Antennas Propag., vol. AP-12, no. 2, pp. 176–180, Mar. 1964. [Google Scholar]
- [13].Miyamoto R. Y. and Itoh T., “Retrodirective arrays for wireless communications,” IEEE Microw. Mag., vol. 3, no. 1, pp. 71–79, Mar. 2002. [Google Scholar]
- [14].Fusco V. and Buchanan N., “Developments in retrodirective array technology,” Microw., Antennas Propag., vol. 7, no. 2, pp. 131–140, 2013. [Google Scholar]
- [15].Re P. D. H., Podilchak S. K., Rotenberg S. A., Goussetis G., and Lee J., “Circularly polarized retrodirective antenna array for wireless power transmission,” IEEE Trans. Antennas Propag., vol. 68, no. 4, pp. 2743–2752, Apr. 2020. [Google Scholar]
- [16].Rotenberg S. A., Podilchak S. K., Re P. D. H., Mateo-Segura C., Goussetis G., and Lee J., “Efficient rectifier for wireless power transmission systems,” IEEE Trans. Microw. Theory Techn., vol. 68, no. 5, pp. 1921–1932, May 2020. [Google Scholar]
- [17].Pavuluri S. et al. , “Encapsulation of microelectronic components using open-ended microwave oven,” IEEE Trans. Compon., Packag. Manuf. Technol., vol. 2, no. 5, pp. 799–806, May 2012. [Google Scholar]
- [18].Cervantes-Barragan L. E. A., “Dendritic cell-specific antigen delivery by coronavirus vaccine vectors induces long-lasting protective antiviral and antitumor immunity,” Mbio, 09 2010. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [19].Balanis C.A., Antenna theory: analysis and design. John wiley & sons, 2015. [Online]. Available: https://books.google.co.uk/books?id=v1PSZ48DnuEC [Google Scholar]
- [20].Khang S., Lee D., Hwang I., Yeo T., and Yu J., “Microwave power transfer with optimal number of rectenna arrays for midrange applications,” IEEE Antennas Wireless Propag. Lett., vol. 17, no. 1, pp. 155–159, Jan. 2018. [Google Scholar]
- [21].Yavari E., Boric-Lubecke O., and Yamada S., Radar principles. Hoboken, NJ, USA: Wiley, 2016, ch. 2, pp. 21–38. [Google Scholar]
- [22].Bourlier C. and Pouliguen P., “Useful analytical formulae for near-field monostatic radar cross section under the physical optics: Far-field criterion,” IEEE Trans. Antennas Propag., vol. 57, no. 1, pp. 205–214, Jan. 2009. [Google Scholar]
- [23].Rooij G. H., “Methods of soil analysis–Part 4: physical methods,” Vadose Zone J., vol. 3, pp. 722–723, 2004. [Google Scholar]
- [24].Khachan J., “Heat capacity, specific heat, and heat of transformation,” in Thermal Properties Matter, Ser. 2053-2571. Morgan & Claypool Publishers, 2018, pp. 4–1 to 4–8. [Online]. Available: http://dx.doi.org/10.1088/978-1-6817-4585-5ch4 [Google Scholar]
- [25].I. B. of Weights and Measures. The International System of Units. 2006, [Online]. Available: https://www.bipm.org/utils/common/pdf/si_brochure_8_en.pdf
- [26].T. E. Density, in Encyclopaedia Britannica. 2020, [Online]. Available: https://www.britannica.com/science/density
- [27].T. E. Power in Encyclopaedia Britannica. 2020, [Online]. Available: https://www.britannica.com/science/power-physics
- [28].T. E. Water, in Encyclopaedia Britannica. 2020, [Online]. Available: https://www.britannica.com/science/water
- [29].Alibakhshikenari M. et al. , “A comprehensive survey on ‘various decoupling mechanisms with focus on metamaterial and metasurface principles applicable to SAR and MIMO antenna systems’,” IEEE Access, vol. 8, pp. 192965–193004, 2020. [Google Scholar]
- [30].Alibakhshikenari M. et al. , “Isolation enhancement of densely packed array antennas with periodic MTM-photonic bandgap for SAR and MIMO systems,” IET Microw., Antennas Propag., vol. 14, no. 3, pp. 183–188, 2019. [Google Scholar]
- [31].“Propagation data and prediction methods for the planning of indoor radiocommunication systems and radio local area networks in the frequency range 900 MHz to 100 GHz,” Recommendation ITU-R (2012), pp. 1238-7 1997. [Google Scholar]
- [32].Karode S. L. and Fusco V. F., “Near field focusing properties of an integrated retrodirective antenna,” in Proc. IEE Nat. Conf. Antennas Propag., 1999, pp. 45–48. [Google Scholar]
- [33].Schantz H. G., “Near field propagation law a novel fundamental limit to antenna gain versus size,” in Proc. IEEE Antennas Propag. Soc. Int. Symp., vol. 3A, 2005, pp. 237–240. [Google Scholar]
- [34].I. C. “On Non-Ionizing Radiation Protection (ICNIRP).” Guidelines for Limiting Exposure to Electromagnetic Fields (100 KHz to 300 GHz). 2020. [Online]. Available: https://www.icnirp.org/cms/upload/publications/ICNIRPrfgdl2020.pdf [DOI] [PubMed]
- [35].Pavuluri S. et al. , “Post cure behaviour of encapsulants for QFN packages processed by an open-ended single mode resonant microwave applicator,” in Proc. IEEE 13th Electron. Packag. Technol. Conf., 2011, pp. 573–578. [Google Scholar]
- [36].Johnston K., Pavuluri S., Leonard M., Desmulliez M., and Arrighi V., “Microwave and thermal curing of an epoxy resin for microelectronic applications,” Thermochimica Acta, vol. 616, pp. 100–109, 2015. [Google Scholar]
- [37].Mine Y., Noutomi T., and Haga N., “Thermally induced changes in egg white proteins,” J. Agricultural Food Chem., vol. 38, no. 12, pp. 2122–2125, 1990. [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.





















