From short pulses to short breaks: exotic plasma bullets via residual electron control

Abstract

Plasma plumes with exotically segmented channel structure and plasma bullet propagation are produced in atmospheric plasma jets. This is achieved by tailoring interruptions of a continuous DC power supply over the time scales of lifetimes of residual electrons produced by the preceding discharge phase. These phenomena are explained by studying the plasma dynamics using nanosecond-precision imaging. One of the plumes is produced using 2 – 10 μs interruptions in the 8 kV DC voltage and features a still bright channel from which a propagating bullet detaches. A shorter interruption of 900 ns produces a plume with the additional long conducting dark channel between the jet nozzle and the bright area. The bullet size, formation dynamics, and propagation speed and distance can be effectively controlled. This may lead to micrometer- and nanosecond-precision delivery of quantized plasma bits, warranted for next-generation health, materials, and device technologies.

Atmospheric-pressure non-equilibrium plasmas have recently received a major attention due to their widespread applications in surface and materials processing, biomedical engineering, and medicine¹,²,³,⁴,⁵. Among them, plasma jets have been of particular interest owing to the highly-focused treatment spots, portability, near-room temperature of the plasma plume, as well as demonstrated efficacy and flexibility in a broad range of applications spanning from cancer treatment to nanotechnology⁶,⁷,⁸,⁹,¹⁰,¹¹. The plasma jets feature a very unique dynamic behaviour compared to other types of atmospheric-pressure plasmas. Indeed, the discovery of fast-propagating plasma bullets (also termed pulsed atmospheric pressure streamers (PAPSs)) opens an exciting possibility to control small bits of plasmas over sub-microsecond and possibly even nanosecond time scales¹²,¹³,¹⁴,¹⁵,¹⁶.

However, this fascinating phenomenon is still challenging to control and is far from being understood despite of a few mechanisms proposed¹⁷,¹⁸,¹⁹,²⁰,²¹,²²,²³,²⁴. Since these discharges are generated by time-varying electric fields, a series of breakdowns produces residual electrons within the channel of the plasma jet. The reported density of the residual electrons is vastly different by many orders of magnitude (e.g., from ~10² to ~10² cm⁻³)¹⁷,²⁴,²⁵,²⁶,²⁷,²⁸,²⁹,³⁰. Despite this quantitative uncertainty, it is generally believed that the residual electron dynamics plays a major role in the formation of the still plasma channel and the propagating plasma bullets that detach from it¹⁹. However, it is extremely difficult to control and monitor such a dynamic behaviour, mostly because of the very high (e.g., nanosecond) precision required as well as large uncertainties in the residual electron lifetimes. When using conventional photography, the bullet-prone plasma plumes commonly appear as dim glow channels. This is why despite the excellent recent progress in the studies of the plasma streamer phenomena, the understanding of the mechanisms of the effect of the residual electrons on the streamer propagation is far from being complete.

To control the dynamics of the residual electrons, and hence, the plasma channel structure and the plasma bullet propagation, we customized the DC voltage to merely vary it over the timescales comparable with the expected lifetime of the residual electrons. In this way, by retaining the residual electrons long enough to affect the breakdown dynamics, here we report on the two exotic bullet-prone plume structures both featuring an uncommon large bright still area in addition to the common dim propagating bullet area. Moreover, one of these plumes also contains a highly-conducting dark channel behind the bright area. Importantly, these highly-unusual plasma plumes were generated using short interruptions of a continuous high-voltage DC supply, which is also a simpler and energy-efficient alternative to the commonly used short DC pulses. The observed effects are explained using nanosecond time-resolved imaging of the discharge dynamics over the very short voltage rise and fall phases. This deterministic approach offers a simple and versatile control of the jet channel structure and conductivity as well as the plasma bullet propagation vitally needed for next-generation applications.

Results

To demonstrate the highly-unusual plasma bullet-prone jet plumes by controlling the residual electrons, we used the atmospheric plasma jet device sketched in Fig. 1(a). The voltage waveforms used are shown in Figs. 1(b)–(d). These waveforms were chosen to: (i) produce the breakdown merely during the rise and fall phases of the voltage pulse; and (ii) trigger the next voltage rise or fall phase with the delay comparable with the lifetime of the residual electrons produced during the previous discharge phase. Using a typical observable plasma bullet propagation time of 1 μs as an (assumed) estimate of the residual electrons lifetime, the duration of such a delay was varied from 900 ns to 2 μs.

Figure 1. Atmospheric plasma jet and DC pulse waveforms.

(a) Schematic of the atmospheric plasma jet device, gas feed, power supply, and plasma diagnostics. Current-voltage pulsed DC waveforms corresponding to the pulse width (b) 2 μs, one single pulse is shown; (c) 998 μs, a 2 μs interruption between two pulses is shown; and (d) 999.1 μs, a 900 ns interruption between two pulses is shown. Breakdown occurs only during the voltage rise and fall phases.

Fig. 1(b) shows a single 8 kV DC voltage pulse of a 2 μs duration (and 1 ms repetition rate) and the current it produces during the initial rise phase and the following fall phase. The continuous 8 kV DC voltage was also repeatedly interrupted for 2 μs, also every 1 ms, as shown in Fig. 1(c). The interruption time was also reduced to 900 ns retaining the same repetition rate (Fig. 1(d)). During the interrupted DC operation, the fall phase preceded the rise phase as shown in Fig. 1(c,d). In all cases, the discharges were only produced during the rise or fall phases as evidenced by the current spikes in Fig. 1(b–d). This was also chosen deliberately to clearly separate the different discharge phases during the high-speed, time-resolved imaging and focus on the plasma bullet propagation which was previously reported to merely occur during the rise phase¹³.

Remarkably, all the three waveforms in Fig. 1(b–d) produced three totally different plasma plumes depicted in Fig. 2(a–c). The 2 μs pulse has generated a common plume with a large dim area indicative of a propagating bullet (Fig. 2(a)). Importantly, this type of the plasma plumes was generated using DC pulses with the duration up to 990 μs at the same repetition rate of 1 ms. However, the other two interrupted DC waveforms produced exotic plumes with two and three distinctive areas labelled in Fig. 2(b) and (c), respectively. When the break between the pulses was 2 μs (Fig. 2(b)), the plume appears as a bright channel (area I) and a dim (likely bullet propagation) area II. This type of structures was revealed for the 2 – 10 μs interruptions of 8 kV DC pulses.

Figure 2.

Photographs of three distinctive plasma plume types generated using. (a) 2 μs pulse; mostly a dim (typical to a plasma bullet) area is seen; (b) 2 μs interruption; bright (I) and dim (II) areas are seen; and (c) 900 ns interruption; dark (I), bright (II), and dim (III) areas are seen. Images (a)-(c) produced using a 1 μs exposure from the beginning of the voltage rise phases labelled “0” in Figs. 1(b)–1(d), respectively.

When the duration of DC interruption was reduced to less than 1 μs, a very different plume structure was discovered (Fig. 2(c)). One can clearly see the dark area I, the bright area II, and the dim (likely bullet propagation) area III in the plume generated using a 900 ns interruption (Fig. 1(d)).

To help explaining the observed exotic plume structures, time-resolved, high-speed imaging was implemented selectively during the rise and fall phases of each of the waveforms in Fig. 1. In all cases, it was found that the plasma bullets are only produced during the rise phases, for both the short pulses and the short interruptions. These high-speed images for the 2 μs pulse and the 2 μs and 900 ns breaks are shown in Figs. 3–5, respectively. The beginning of the time count was synchronized with the onset of the voltage rise phase. From these images one can clearly spot the very different discharge dynamics in each case.

Figure 3. High-speed photographs of the plasma plume generated during the voltage rise phase of the 2 μs pulse.

The exposure time is 5 ns. The time labeled on each photograph corresponds to the time in Fig. 1(b).

Figure 4. Same as in Fig. 3 for the 2 μs DC interruption.

The time labeled on each photograph corresponds to the time in Fig. 1(c).

Figure 5. Same as in Fig. 3 for the 900 ns DC interruption.

The time labeled on each photograph corresponds to the time in Fig. 1(d).

When a short 2 μs pulse is used, the plume dynamics (Fig. 3) is typical to the plasma bullet propagation reported previously¹³. The bright plasma channel originates within the nozzle and starts exiting it at 528 ns into the pulse. At 628 ns, the plume elongates to ~ 1 cm forming a bright bullet at its head. 100 ns later, the bullet separates from the rest of the plume. Other images in Fig. 3 show that the bullet propagates further, with the speed of the ionization front ~10⁵ m/s (note that the speed of the gas flow is much lower, typically of the order of ~10 m/s), eventually slowing down and shrinking in size. The rest of the plasma plume darkens significantly while the bullet propagates.

Fig. 4 shows a very different dynamics of the plasma plume generated by a short 2 μs interruption. The plume brightens and exits the nozzle much faster thereby forming a bright, non-propagating channel at 278 ns which then fully exits from the nozzle 100 ns later. The length of this channel is approximately 6 mm. At 428 ns, the channel brightens and the plasma bullet forms and tends to detach from the channel. 50 ns later, the bullet is fully detached and a dark channel forms between the head of the bright plasma channel and the small bullet-like plasma. As the bullet propagates further, its speed and size decrease while the luminosity of the bright channel I in Fig. 2(b) decreases. The speed and the length of the bullet propagation are noticeably smaller than in Fig. 3 thereby leading to a shorter plasma plume in Fig. 2(b) compared to Fig. 2(a). For example, the propagation speed of the bullet is approximately 3 times smaller than in the 2 μs pulse case.

In order to elucidate whether the bright plasma channel I in Fig. 2(b) is formed locally or is due to the integrated effect of a fast moving bullet, a dedicated experiment using the ICCD camera with an exposure time of 2 ns and a step of 2 ns was performed. This high-speed imaging confirms that the bright plasma channel at 378 ns is clearly not due to the integrated effect of a fast moving bullet.

If the break between the voltage fall and rise phases is further reduced, the bright plasma channel starts forming within the nozzle and then moves forward much faster. This can be seen in Fig. 5 which corresponds to the waveform in Fig. 1(d). Already at 173 ns, the bright channel clearly separates from the nozzle and leaves an approx. 4 mm dark channel behind. The length of the dark channel between the nozzle and the left end of the bright plasma channel becomes smaller when the voltage interruption time decreases. At about 273 ns, a plasma bullet is formed at the right end of the bright plasma channel and starts propagating forward. 100 ns later, a clear gap between the bullet and the channel is visible. At this moment, the channel becomes dimmer and this tendency continues thereafter. Interestingly, the length of the dark space (area I in Fig. 2(c)) between the nozzle and the left end of the bright channel does not noticeably change with time. As the bullet propagates, it also reduces in size and slows down, similar to the two other cases. The propagation speed of the bullet in Fig. 5 is somewhat smaller than in Fig. 4.

Discussion

Here we discuss the observed phenomena and relate them with the density and response of residual electrons, in the context of the existing knowledge on the propagation mechanism of pulsed atmospheric plasma streamers. We will then summarize the interpretations of the key observations and the remaining open issues.

Dark channel

Numerical modelling shows that electron density of dark channel left behind the plasma bullet is typically of the order of 10¹¹ – 10¹² cm^{−3 17}. The high electron density results in a high conductivity of the dark channel. Thus, the electric field within the dark channel is low, typically about a few kV/cm¹⁷. Hence, the dark channel effectively serves as an extended electrode. This is also the reason why the plasma bullet propagation is inhibited at the falling edge of the applied voltage¹⁸. Because the conductivity of the dark channel is high, the plasma bullet is electrically connected to the high-voltage electrode.

The electron density in the dark channel in Fig. 3 decreases with time and distance from the nozzle. The electron density in the dark channel behind the plasma bullet in Fig. 5 is also expected to behave quite similarly because of the similar trends of the electron density decay, as in the case of the pulse width of 2 μs. Quantitatively, the electron densities in the two dark channels in Fig. 5 are quite different over the most of the pulse cycle. The dark channel behind the bright channel has a lower mole fraction of air than the dark channel behind the plasma bullet. Consequently, the electron density behind the bright channel experiences a slower decay than behind the plasma bullet. More importantly, the electrons in these two dark channels are generated at different time. While the electrons in the dark channel behind the bright channel are generated during the discharge at both the falling and the rising edges of the pulse, the electrons in the dark channel behind the plasma bullet are generated during the discharge at the rising edge of the pulse (the discharge at the falling edge does not reach this position as can be seen in Fig. S3). It is estimated that the electron density before the falling edge discharge in the dark channel behind the bright channel is of the order of 10⁹ cm⁻³, while in the dark channel behind the plasma bullet it is of the order of 10⁴ cm⁻³. This difference is due to the different O₂ concentration. After the falling edge discharge, the electron density in the dark channel behind the bright channel rise to ~10¹² cm⁻³, while the electron density in the dark channel behind the plasma bullet remains much lower (of the order of 10⁴ cm⁻³) because the plasma did not reach the position. For the pulse width of 999.1 μs, the discharge at the rising edge is ignited only several hundred ns after the discharge at the previous falling edge. Then the electron density in the both dark channels could reach the value of the order of ~10¹² cm⁻³.

2–10 μs breaks between voltage phases

In our experiments, when the voltage interruptions are longer than 2 μs but shorter than 10 μs, a bright channel is generated in front of the nozzle at the rising edge. A plasma bullet is generated at the right tip of the bright channel and moves forward. This phenomenon does not appear when the voltage break is longer than 10 μs. It is thus reasonable to assume that the observed unusual plasma plume structure is due to the increase of the residual electron density left from the discharge at the falling edge of the previous voltage pulse. When the time gap between the rise phase and the preceding fall phase becomes shorter so does the break between the two consecutive discharges ignited during the both phases. In this case, species produced by the fall-phase discharge may not completely recombine before the onset of the subsequent discharge at the voltage rise phase. Therefore, because of the short time between the two discharges, the density of residual electrons produced during the preceding fall phase may remain high before the next discharge is ignited at the rising edge of the voltage pulse. We emphasize that the length of the plasma plume during the fall phase is much shorter compared to the rise phase, as can be clearly seen from Fig. 4 and Fig. S3(b). From Fig. 2(b) one can also note that the length of the bright section I is close to the length of the plasma channel deduced from high-speed imaging in Supplementary Fig. S3. It is thus reasonable to assume that the residual electron density within section I is relatively high.

Consequently, section I becomes conductive at the onset of the rise phase. The dark channel is left from the propagation of the plasma bullet. The reason why section I appears bright is probably because the electric field within section I is higher than within the dark channel. The relatively high electric field within section I sustains a certain degree of ionization and excitation, which is balanced by the recombination, attachment and diffusion of the gas species. This is why the plasma of section I remains stable for a relatively long time as evidenced in Fig. 4. For section II shown in Fig. 2(b), the residual electron density is much lower than in section I which helps sustaining the plasma bullet propagation as seen in Fig. 4. The numerical modelling of the distribution of the residual electron density is presented in Sec. S4 of Supplementary Information. As shown in Fig. S7, when the pulse width is 998 μs, the residual electron density is about 4 × 10¹¹ cm⁻³ in section I in Fig. 2(b) and about 10⁴ cm⁻³ in section II in Fig. 2(b). This result is consistent with the phenomenological discussions in this work.

Shorter (<2 μs) breaks between voltage phases

When the voltage interruption is shorter than 2 μs, the residual electron density in front of the nozzle is even higher when the discharge is ignited during the rise phase. Hence, section I in Fig. 2(c) has an even higher electric conductivity and a weaker electric field. The weaker electric field results in a low electron temperature, so the electrons cannot gain enough energy to ionize or excite atoms or molecules.

Role of air diffusion

It should be pointed out that the diffusion of air plays a significant role in the phenomena discussed above. Due to the diffusion, the air concentration becomes higher and higher in the He stream with the increase of the distance from the nozzle. Because of the very high electron affinity of oxygen, the high concentration of air in the He flow results in the fast decay of the residual electron density. This is why the residual electron density decreases away from the nozzle. Consequently, sections I and II in Fig. 2(c) feature the high and medium residual electron density. This in turn results in the dark region I, and bright region II, respectively. As shown in Figure S7, when the pulse width is 999.1 μs, the residual electron density decreases with the distance from the nozzle in sections I and II in Fig. 2(c) (see Sec. S4 in Supplementary Information). This numerical result further supports our discussion.

Moreover, diffusion of oxygen and nitrogen species contributes to de-excitation of He metastables, which contributes to the optical emission, see the optical emission spectra in Figure S5 in Supplementary Information. The mechanism is related to the Penning ionization whereby these molecules are ionized. It is well known that Penning ionization can enhance the discharge. It increases the electron density and the velocity of the plasma bullet. This is why this effect may be considered as counteracting to the effect of the decrease of the residual electron density. The resulting optical emission from the plasma plume is a consequence of the ionization-excitation-radiation balance. The residual electron- and helium metastable-related mechanisms both contribute to this balance, and consequently, to the observed discharge behaviour.

Summary of observations and interpretations

We have thus observed two new phenomena produced when the duration of interruption of DC voltage are comparable with the lifetime of the residual electron density. First, when the break is between 2 μs and 10 μs, the plasma jet generated during the voltage rise phase can be divided into two sections. In section I which appears next to the nozzle, the plasma appears like a bright channel and has a length of several millimetres. The bright channel appears in section I and a plasma bullet is generated at the tip of the bright channel. The bullet then detaches and propagates along the He stream. The bright channel is due to the high residual electron density left from the discharge at the preceding voltage fall phase. The high residual electron density results in the relatively high electric conductivity and hence a weak electric field. The electron density of the bright channel of section I is lower compared to the dark channel due to recombination, attachment, and other loss effects. Consequently, the electric field within section I is stronger than in the dark channel. This electric field leads to the higher electron temperature which in turn raises the level of excitation of atomic/molecular species in the gas flow. This produces intense optical emission from section I. For section II in Fig. 2(b), the residual electron density is much lower compared to section I and the plasma retains the propagating bullet behaviour.

Second, when the voltage break is further reduced, the gap between the discharge at the rise phase and the discharge at the preceding fall phase becomes shorter and shorter, which increases the residual electron density in the channel. The bright plasma channel (section II in Fig. 2(c)) detaches further and further away from the nozzle as the voltage break decreases. This creates a dark channel (section I in Fig. 2(c)) between the nozzle and the left end of the bright plasma channel. On the right end of the bright plasma channel, the jet still retains the plasma bullet behaviour. Due to the air diffusion into the He stream and the discharge at the falling edge of the previous voltage pulse only reaching sections I and II, the residual electron density in sections I, II, and III of Fig. 2(c) is high, medium, and low, respectively and the residual electron density in sections I and II are many orders higher than that in section III. This difference in the electron densities results in the appearance of the dark, bright, and bullet areas, respectively. The numerical modelling of the distribution of the residual electron density presented in Sec. S4 of Supplementary Information supports this explanation.

Therefore, our results suggest that the residual electron density in the discharge channels of atmospheric-pressure plasma jets plays a critical role in the formation, structure, and temporal dynamics of the plasma plumes. This phenomenon has not been studied previously despite a large number of studies on the effect of seed electrons on the streamer propagation. Precise tailoring of the duration and ramping of DC power supply appears to be a viable way to achieve the exotic multi-segmented plumes and control the plasma bullet formation and propagation. Interaction of the plasma jet with the surrounding air is also a decisive factor in the spatial distribution and dynamics of the residual electron density. Detailed study of this interaction and other possible mechanisms is therefore highly warranted in the near future. For example, the absorption of photoemission by He, N₂ and O₂ may also play a significant role in the streamer propagation³¹.

Potential applications

The demonstrated control of the plasma bullet formation and propagation is highly-promising for the controlled delivery of quantized bits of plasmas with micrometer and nanosecond precision, which may open new exciting prospects for applications in cellular-level medical therapies and selective treatment of microscopic objects in numerous materials and device technologies. Indeed, although the typical size of the spot of the plasma jet is in the sub-mm range, it can be reduced to a couple of hundreds or even a few tens of micrometers by a proper optimization of the discharge parameters. Apart from the small dimensions of the localized treatment spots, the surface temperature within these spots can reasonably be expected to be close to room temperature. This is particularly important for the synthesis and processing of temperature-sensitive materials such as polymers³²,³³. Moreover, low energies of the plasma ions (the ion velocities in front of the plasma bullet are of the order of ~10³ m/s, which is much lower than typically in low-pressure plasmas) are very favourable for the treatment of materials that are highly-susceptible to ion damage such as delicate graphenes and single-walled carbon nanotubes³⁴,³⁵. These interesting features of the pulsed atmospheric pressure streamers may bring several advantages to the field of nanoscale synthesis and processing where low-pressure plasmas have demonstrated a number of advantages over many other conventional methods³⁶,³⁷,³⁸.

Methods

Fig. 1(a) is the schematic of the experimental setup. The plasma plume is generated by a single electrode plasma jet device. The voltage pulse repetition rate (ON + OFF pulse sequences) is fixed at 1 kHz throughout this paper. The pulse width was varied from 900 ns to 999.1 μs. The applied voltage is measured by a P6015A Tektronix HV probe and the current by a Pearson 6585 current probe. A fast ICCD camera (Princeton Instruments, Model: PIMAX2) is used to capture the nanosecond dynamics of the discharge. The exposure time is fixed at 5 ns for the photographs shown in this paper. A 1 μs exposure is used to produce still images of the plasma plumes in Fig. 2. The terms “dim”, “dark”, and “bright” are used to describe the relative luminance in different areas of the plasma jet rather than to express their absolute luminance. Similar presentations of the relative luminance such as “dark space”, “glow” are consistently used to describe the visual appearance of the glow discharge. The discharge currents shown in Fig. 1 are the total currents and represent the sum of the displacement current and the actual discharge current, where the actual discharge current is much smaller than the displacement current. It should be mentioned that the gas temperature may be affected by the pulse repetition frequency; however, this frequency was fixed at 1 kHz in our experiments. We have also observed that when varying the pulse width, the discharge current also changes; however, this change is fairly small. As a result, the gas temperature does not undergo any significant changes. During the jet operation at a fixed pulse repetition frequency, the gas temperature remains close to room temperature. This is why the assumption of the constant near-room temperature is reasonable. For each waveform in Fig. 1, the zero time moment is set at the beginning of the rise phase. The reason for this choice was to temporally resolve the plasma bullet propagation which was only observed during the voltage rise phase. The gas flow used in this series of experiments was 1 l/min. Under such conditions, the gas flow is laminar and the pulsed atmospheric pressure streamer propagates in a linear fashion. Above ~5 l/min, turbulent gas flows develop, which make the streamer propagation more sophisticated. For example, it was observed that the plasma bullet may exhibit a snake-like propagation, which was intentionally avoided for the purpose of this work. More details about the plasma jet device, the associated measurements and the method used to calculate the electron density can be found in Supplementary Information.

Author Contributions

X.L. led the project and supervised all experiments. Y.X., P.Z., X.P., S.W. and Q.X. conducted experiments and measurements. X.L. and K.O. co-led data analysis and physical interpretations. All authors discussed the results. Y.X., X.L. and K.O. co-wrote the manuscript.

Supplementary Material

Supplementary Information

Supplementary Information - Revised