Abstract
Polymer microring resonators fabricated by nanoimprinting are presented as a means of ultrasound detection. Acoustic waves impinging on a ring-shaped optical resonator cause strain in the ring dimensions, modulating optical output. Basic acoustic and optical characteristics of the microring sensor are presented. Measurements at several frequencies show a high sensitivity and low noise-equivalent pressure. The angular response is determined by sensing the optoacoustic excitation of a 49 μm polyester microsphere and shows wide-angle sensitivity. A 1-D array consisting of 4 microrings is demonstrated using wavelength multiplexing for addressing each element. The high sensitivity, bandwidth, and angular response make it a potentially useful sensor platform for many applications including high-frequency ultrasonic and photoacoustic imaging.
Index Terms: Ultrasound detector, Acoustic detectors, acoustic devices, microresonators, optical resonance, optical resonators, optical waveguide components, optical strip waveguides, optical waveguides
I. Introduction
High frequency (>50 MHz) ultrasound imaging is an excellent tool for small animal studies and in-vitro biological microscopy, 1 providing high resolution real time imaging. However, its clinical use is limited (primarily to ocular imaging) due to technology limitations on element size, spacing and signal transduction in traditional ultrasound imaging. Optical detection of ultrasound is an alternative to the traditional piezoelectric technology with unique advantages for high frequency arrays:
Element size in the range of 10 to 100 μm can be realized using optical micro-resonators with sufficient sensitivity.
Unlike piezoelectric detectors the noise in optical detection does not directly depend on the detector size. Moreover, the Signal-to-Noise-Ratio (SNR) can be increased by increasing the power of the input optical probing.
High element count of 1D and 2D array configurations can share a single optical fiber for signal interfacing using optical multiplexing.
These features can be exploited for sub-millimeter imaging devices optimized for intravascular imaging and in-vivo microscopy or virtual biopsy using needle mounted probe.
In this paper, we present our study and development of a new planar optic platform for detecting ultrasound: Polymer Resonator for Optical Ultrasound Detection (PROUD). We will start with a description of the theoretical background and principles for ultrasound sensing using optical microring resonators. Next, we will present our device fabrication methods and experimental characterization of the PROUD sensor and a four-element array. We will show that polymer microring resonators are capable of high-frequency ultrasound detection with high sensitivity; and when constructed as an array, addressing of each detector element can be achieved by wavelength division multiplexing through a single input/output bus. Our experiment shows that the noise-equivalent pressure (NEP) of our present PROUD sensor is already comparable to the state-of-the-art hydrophone of similar size. To conclude, we will discuss the challenges in developing the technology, possible solutions and typical applications.
II. Principles of Microring Ultrasound Sensors
A. Microring Resonators for Ultrasound Detection
A microring resonator is composed of a ring waveguide closely coupled with a bus waveguide which serves as input/output, as shown in Fig. 1(a). Resonance condition occurs when the round-trip phase acquired by the guided wave in the microring is equal to 2mπ, where m is an integer. Under such condition, it can be shown that the field of the optical wave returning to the coupler after a round trip is exactly π out of phase with the optical wave traveling through the coupler region in the straight waveguide. These two fields therefore interfere destructively, leading to a resonance dip in the transmission curve.
Fig. 1.
Schematic of (a) microring resonator; (b) resonance spectrum; (c) Ultrasound detection using the optical resonance of a microring sensor.
Microresonators can be used as detectors because their resonances can respond sensitively to the change in the effective refractive index (neff) of the guided optical mode.2 It is this characteristic that is exploited in this work for novel implementation of sensitive high-frequency ultrasound detectors. This aspect can be seen explicitly from the optical transmission through the bus waveguide coupled with a microring resonator, which can be expressed as:
| (1) |
where It and Ii are incident and transmitted power, respectively, τ the amplitude transmission coefficient, a the single-pass amplitude attenuation factor and αi the insertion loss due to the waveguide mode mismatch in the coupling region. In Eq. (1) φ is the single-pass phase shift experienced by light traveling inside the microring, which is equal to 2πneff L/λ. Here neff is the effective refractive index of the mode guided inside the ring waveguide, L the circumference of the ring, and λ the light wavelength. The transmission of the system as expressed by Eq. (1) clearly has a strong dependence on the phase shift φ, and therefore is a function of the effective index. Based on our current understanding, the principle for the detection of ultrasound signal is that the acoustic pressure deforms the polymer waveguide and changes the effective index of the propagating mode. Additionally, there is a minor elasto-optic effect that contributes to the effective index change. The theoretical understanding was described in detail in a recent publication.3 In microresonator sensors, detections can be made by measuring the resonance shifts;4 or alternatively, by measuring the output intensity changes from the device at a fixed wavelength [Fig. 1(c)]. The latter scheme is especially useful for detecting very small change in the effective index, and our results show that such a property can be used to detect, sensitively, the microring response to an incident ultrasound pulse.
III. Device Fabrication
We used a nanoimprinting technique to fabricate the polymer microring resonators,5 which can be applied to many polymer materials.6 In this technique, the waveguides are replicated by using a mold with inverse waveguide patterns defined on its surface to emboss into polymer material under controlled temperature and pressure. Very briefly, a mold is first fabricated by using a combination of electron-beam lithography, reactive ion etching (RIE) followed by a wet chemical etching to produce smooth sidewalls. Next the ring resonator devices were prepared as follows: polystyrene (PS) of 350-nm thickness was spin-coated on a 4-μm thick SiO2 layer thermally grown on a Si substrate, and prebaked at 180 °C to remove any residual solvent. We used Nanonex-2000 nanoimprinter (Nanonex, NJ) to transfer the microring resonator patterns from the mold onto the PS film. The sample stage was heated to 180 °C, and the PS resist was imprinted at a pressure of 600 psi for 300 seconds. The sample stage was then cooled to room temperature by air and the imprinting pressure was reduced to atmospheric pressure. After the sample was released from the mold, an O2 RIE process of 300 seconds was used to remove the residual layer, leaving the polymer waveguide on top of the SiO2 layer, which completed the device fabrication. In our fabrication, typically a large numbers of device structures are designed on the mold, which can imprint and create large arrays of polymer microring devices simultaneously. Figure 2 show the scanning electron micrographs of the fabricated PS microring devices.
Fig. 2.
Scanning electron micrographs of the PS microring resonators (a) top view (in this SEM the microring is coupled to both a bus waveguide and a drop port waveguide) and (b) cross-section view of the PS waveguide.
IV. Experimental PROUD Characteristics
A. Experimental Setup
Optical fibers were butt-coupled to the input and output of the bus waveguide at the cleaved edges of the silicon substrate. The input fiber was connected to a CW tunable laser source (HP 8168F, Agilent Technologies, Santa Clara, CA), and the output fiber was connected to a high-speed photodetector (1811-FC, New Focus, San Jose, CA) with a gain of 4×104 V/A and an electrical bandwidth of DC-125MHz. The photodetector was connected to a digital storage oscilloscope (WaveSurfer 432, LeCroy, Chestnut Ridge, NY) for data collection. A single-mode fiber was used for the input to maximize the amount of light coupled into the polymer waveguide. A multimode fiber (62.5 μm core diameter) was aligned with the output of the waveguide. Given the dimensions of the input fiber (4 μm core radius) and the polymer waveguide (2 μm × 2 μm), the maximum light that can be coupled into the waveguide is 8%. This could be greatly improved by replacing the single-mode fiber with a tapered fiber with a tip diameter smaller than the waveguide dimensions. UV curable epoxy was used to bond the fibers to the waveguide and minimize the reflection loss at the input and output. With a laser input power of 4 mW, the maximum achievable power at the photodetector is 320 μW. However, due to scattering loss in the bus waveguide, the output power is only 20–30 μW.
The fiber-connected microring device (on a 500μm thick silicon substrate) is mounted on a 200μm thick rigid plate and submerged in a tank filled with deionized water (Fig. 3). Microrings used in the following experiments have a 100 μm diameter. The spectrum is measured over several periods of resonance by sweeping the tunable laser wavelength. A suitable wavelength near the center of the resonant slope is then chosen. The Q factor of the current microrings is approximately 5 × 103.
Fig. 3.
The experiment setup used to determine the microring (MR) sensor characteristics. Light from a fiber-coupled tunable laser (TL) is coupled into the microring waveguide bus, and output to an amplified photodetector (PD). The microring is positioned at the center of the unfocused ultrasound transducer (UT).. The distance between the microring and transducer is about 1mm..
B. Sensitivity and noise-equivalent pressure (NEP)
The sensitivity is determined by the slope of the resonance, while the dynamic range of the microring is determined by the depth of the resonance i.e. the range of the linear region. If the shift in resonance is too great, the wavelength will be beyond the resonance, resulting in signal distortion and decreased sensitivity. The NEP is defined as the ratio of sensitivity (in μW/MPa) to the noise-equivalent optical power (in μW), and is a measure of the minimum detectable pressure of the sensor.7 For the microring, this is dependant on the sensitivity and the optical output power.
In order to measure the dynamic sensitivity, a 20-MHz unfocused transducer (V316, Panametrics NDT, Waltham, MA, USA) with a 3.18 mm diameter was used to insonify the ring. The transducer was calibrated with a PVDF membrane hydrophone with 28 μm membrane thickness and a 500 μm active element 8 (Center for Industrial and Medical Ultrasound, University of Washington, Seattle, WA). Signals from the membrane hydrophone and microring resonator were recorded with the transducer driven by a one-cycle 20 MHz sinusoidal wave from a function generator (33250A, Agilent Technologies). The pressure measured was 30 kPa peak positive. Based on these measurements, sensitivity is 240mV/MPa, with a NEP of 4.1 kPa over 5~75 MHz (this band covers the range of high-frequency imaging). The NEP of the present PROUD device is comparable to the state-of-the-art hydrophones of similar size. From the sensitivity, the optical resonance wavelength shift of the microring spectrum is approximately 200 picometers/MPa, and the dynamic range for ultrasound detection is about 700 kPa peak-to-peak, adequate for imaging applications.
The pulse-echo waveform of the 20-MHz transducer driven by an 8 ns pulse and its corresponding microring waveform were also recorded to determine the frequency response of the microring. The waveforms and their spectra are shown in Fig. 4. The PROUD device is sensitive over a range from 5 MHz to >40 MHz. Due to reflections of the pulse within the silicon substrate, a small ringing occurs following the waveform output by the microring. This can be removed by changing the substrate thickness so that the ringing is outside the frequency range of interest, or fabricating the microrings on a plastic substrate which has an acoustic impedance similar to water.
Fig. 4.
Acoustic waveforms measured by (a) pulse-echo of the transducer and (b) the microring. A comparison of the spectra for both waveforms is also shown (c). The spectrum of the PE signal is divided by 2 to account for the two convolutions of the signal during pulse-echo measurements. Pulses are generated by a 20 MHz unfocused transducer. Both signals were averaged 1000 times to produce the waveforms shown.
C. Angular Response
A photoacoustic method was used to test the angular dependence of sensitivity for the microring (Fig. 5). A 49 μm-diameter black polystyrene microsphere (BK050, Microgenics Corp., Fremont, CA) was set in a gel created by mixing 1.5% agarose (GPG/LE, American Bioanalytical, Natick, MA) with water. The microsphere was placed very close to the surface of the gel to minimize acoustic absorption. A 532nm pulsed frequency-doubled Nd-YAG laser (Surelite I-20, Continuum, Santa Clara, CA) was used to illuminate the microsphere with a fluence of 112mJ/cm2. The bead’s optical absorption at this wavelength causes transient heating and expansion of the sphere, and subsequently, generation of a spherical acoustic pulse.
Fig. 5.
The experimental apparatus for measuring angular sensitivity of the microring resonator and imaging of a 49 μm microsphere. The polystyrene microsphere produces a spherical wave, and the microring is scanned tangentially to the wave. The gel bulk and the microring were submerged in deionized water.
The angular sensitivity for a single microring is shown in Fig. 6 for frequencies of 10, 15, and 20 MHz signals. Signal levels at these frequencies were extracted by applying bandpass filters centered at the corresponding frequencies with 2 MHz bandwidth to the recorded acoustic pulses and then detecting the peaks. The angular sensitivity shows frequency dependant behavior. Such a frequency dependent behavior can be understood by considering a ring piston transducer, where the theoretical angular response or directivity, D, is given by:9
Fig. 6.

Calculated and measured angular sensitivity of the microring at wavelengths of 10, 15, and 20 MHz. Experimental results agree well with the curves calculated using equation (2).
| (2) |
where k = ωa/c is the wavenumber of the incident acoustic signal, a the average radius of the element, and θ the incident angle of the acoustic wave. The theoretical curve is also shown in Fig. 6, which fits well with the experimental data. For a given k, an element will generally have a wider angular sensitivity when the ring radius is reduced. One method of characterizing the angular response is to measure the −6dB beamwidth, or full width at half maximum (FWHM). For beamforming applications, the beamwidth of the main lobe should extend to +/− 40° incidence. For a 20MHz bandwidth, the element diameter must be less than 50 μm, and for 50 MHz bandwidth, must be smaller than 25 μm in order to comply with these requirements. For the microring detectors, smaller ring size can be made if the waveguide bending loss can be minimized, which can be achieved by operating at a shorter resonance wavelength, and by reducing the refractive index of the undercladding layer.
V. Imaging with PROUD
A. Photoacoustic Imaging
Using the same setup for measuring the angular response, a 3D photoacoustic image of the 49 μm bead was obtained. The pulsed laser fluence was 10 mJ/cm2. A 2D translation stage, driven by two motorized linear actuators (T-LA60-A, Zaber Technologies Inc., Richmond, BC, Canada), scanned the microring to collect photoacoustic signals from the bead at different positions (each of which was an average of 4 records). Using this method, a 4.1 mm by 4.1 mm (virtual) 2D array was formed at a 0.1 mm step. To reconstruct the image, a simple delay-and-sum beamforming algorithm was used, and a digital filter with a center frequency of 15 MHz and a bandwidth of 16 MHz was applied to the signals during beamforming. According to the array size and the bandwidth, the lateral and axial resolutions were around 150 and 90 μm, respectively. Fig. 7 shows three 2D cuts of the 3D image with a 10 dB dynamic range. The FWHM diameters of the reconstructed bead were 177, 184, and 108 μm along the x (approximately lateral), y (approximately lateral), and z (approximately axial) directions, respectively. These values are within reasonable range considering the bead’s 49 μm diameter and the resolutions of the imaging system. The images show that high-quality 3D photoacoustic imaging is achievable using microrings on receive. With more rings working in parallel, frame rate can be increased.
Fig. 7.
2D cuts of the bead’s 3D image displayed in a 10 dB dynamic range. The bead diameter is 49μm, but is imaged larger due to finite bandwidth and operating frequency limitations.
B. Four-Element Microring Array
A microring array consisting of 4 microrings with a single input/output bus was also developed and tested. Each of the microrings is fabricated with a slightly different diameter (varied by 1.0 μm per ring), resulting in a different resonant wavelength for each of the 4 rings. Therefore each ring element can be addressed through the same bus-waveguide by tuning the input wavelength to match the resonance wavelength of that specific ring. A tunable laser source or multiwavelength diode lasers can be used to multiplex several wavelengths and address different elements. The ability to use different wavelengths of light to address different elements through the same bus waveguide greatly reduces the number of inputs and outputs, which makes this approach very attractive for in-vivo ultrasound imaging applications.
The spectral response of the array is shown in Fig. 9. Peaks are labeled according to their element number. Note that more than 4 resonances are present. Two peaks may occur for one ring due to the presence of the TE and TM modes in the ring waveguide. This causes two shallower resonances rather than one deep resonance. Despite the slightly complex spectrum due to the existence of both modes, we were able to address each ring element without difficulty. By proper design of the waveguide cross-section dimension, we can eliminate the contribution of one of the modes, producing a cleaner spectrum for easy addressing of the ring elements.
Fig. 9.

The transmission spectrum for the microring array. Each resonance is labeled with the ring number to which it corresponds.
In order to measure the spatial sensitivity of each element, a focused transducer with a small focal area is required. A 50-MHz LiNbO3 focused ultrasound transducer with aperture diameter 2.5 mm, focal length 4 mm (Resource Center for Medical Ultrasonic Transducer Technology, University of Southern California, Los Angeles, CA) was used to insonify the microring array. The focal diameter of the transducer is approximately 50 μm. Four wavelengths were chosen corresponding to the resonant peak for each ring, and a 2D scan with a 50 MHz ultrasound transducer was performed over the entire array at each of the 4 wavelengths. The scanning step size was 25 μm. The waveform shape did not vary greatly between different elements, although the elements with more shallow resonances gave lower peak sensitivities.
The spatial sensitivity for each of the 4 elements is shown in Fig. 10. The wavelengths used for generating the images were 1523.95, 1524.38, 1524.95, and 1525.82 nm, from top to bottom in order. A spatial scan at the resonance wavelength for the first element also displays a sensitivity to element #2. This is due to the overlap between the two elements’ resonance curves. In addition, at 1527.53 nm, only the first element is selected. The overlap in the ring resonances can be easily eliminated by increasing the Q to make the resonances narrower and careful choice of the element sizes to obtain more equal resonance spacing. The active element diameter is measured to be approximately 125 μm. This is slightly larger than the actual element due to the 50 μm focal area of the ultrasound transducer.
Fig. 10.
Two dimensional spatial sensitivity of the microring array for each of the 4 wavelengths tested. Note the response of both the first and second ring to the first resonance wavelength (1523.95 nm). This is due to the overlap of the two resonance signals in the measured spectrum. Color indicates peak-to-peak voltage generated by the photodetector.
VI. Discussion
We have demonstrated in this work two aspects of the PROUD technology that are critical for the employing it in high resolution imaging devices. The first is high sensitivity. A microring detector of 100 μm size has a NEP of 4.1 kPa in a bandwidth of 70 MHz. For comparison, the state-of-the-art piezoelectric PVDF transducer of similar size (75 μm) has a NEP of 5.0 kPa over the same bandwidth.10 In addition, the PROUD device shows a broad angular response which accurately fits the expected response of a ring shaped receiver. The second is the feasibility of array formation. As opposed to electrical ultrasound transducers such as piezoelectric or capacitive, where individual coaxial transfer line is required for each element, a single optical waveguide can carry multiple signals for an array of PROUDs. This huge capacity is inherent to the use of optical information technology since the optical bandwidth is about 105 times higher than the bandwidth of ultrasound signals (100 MHz). We have shown here how this principle can be realized to combine signals of four receivers on a common input/output waveguide. The scheme that we have used here can be further extended to larger number of elements in a linear array configuration and to 2D arrays by using a cross configuration of input and output waveguides.
While the potential benefits of the PROUD technology are highly attractive for the development of miniaturized ultrasound probes for high resolution imaging, there are still significant challenges ahead. Reducing the size of the microring is essential for moving this technology toward applications. The benefit of it is twofold. From the acoustic aspect, it will result in higher operating frequency since the angular response can broaden and element density can increase. Typically, phased array ultrasound imaging probe requires an element size of half the acoustic wavelength. For example, to operate at a center frequency of 50 MHz, elements size should be reduced to 15 μm. Smaller rings would also increase the number of elements that can share a common waveguide since the free spectral range of each microring increases linearly with decreasing size. The major limitation on microring size reduction is optical loss due to high curvature (bending loss). To resolve this issue, we plan to design microrings operating in the visible range. Shorter wavelength and better optical properties of polymers in the visible range would allow forming high quality resonators with size in the order of 10–20 μm.
A second limitation of the current technique is the lack of ultrasound transmitter elements. Recently, our group presented significant improvements in thermoacoustic methods of laser ultrasound generation.11,12 These methods could be integrated on a planar optical chip with a microring receiver array to form a complete ultrasound imaging probe.
VII. Conclusions
A new ultrasound sensor platform, PROUD, is presented. Polymers combine good optical properties and relatively high compressibility which make them an optimal choice for PROUD. Experimentally we have shown that the polymer microring based ultrasound receivers have high sensitivity, broad angular response and high frequency response. In addition, optical multiplexing allows a single waveguide to be used for probing a linear array of elements. We intend to further develop the technology for miniaturized high frequency ultrasound imagers optimized for minimally invasive medical imaging applications. In principle, a complete linear array of 64 elements working at 50 MHz can be designed to fit in a volume of 0.1 × 0.1 × 1 mm. Such a device compaction would allow development of new clinical applications which will greatly enhance diagnostic capabilities of physicians. For example, in intravascular imaging the imager could explore much smaller arteries and provide access to almost occluded sites; Another example is a “smart needle” where an imaging head is integrated into a small diameter biopsy needle. This would allow for on site, real-time, high resolution imaging. In many cases this would form an alternative to biopsy. In others, it will guide the biopsy procedure for enhanced accuracy and sensitivity.
Fig. 8.

Ring arrangement used for the mircoring array. (a) Optical micrograph of the fabricated four-ring device. (b) Four rings in serial create four distinct resonance peaks at the input to the photo-detector. By using a wavelength tunable laser, each ring can be addressed individually.
Acknowledgments
This work was supported by the NIH under Grants EB004933-01 and EB007619-01A1.
Biographies

Adam Maxwell received a B.S in 2006 from the Department of Electrical Engineering at University of Washington, WA. He worked from 2004 to 2006 at the Center for Industrial and Medical Ultrasound, University of Washington, WA, researching therapeutic ultrasound and lithotripsy. He is currently a graduate student in the Department of Electrical Engineering and Computer Science at University of Michigan, Ann Arbor, MI. His research interests include optoacoustic imaging, ultrasound dosimetry, and high-intensity focused ultrasound.

Sheng-Wen Huang was born in 1971 in Changhua, Taiwan, R.O.C. He received the B.S. and Ph.D. degrees from National Taiwan University, Taipei, Taiwan, R.O.C., in 1993 and 2004, respectively, both in electrical engineering. He worked as a postdoctoral researcher at National Taiwan University from 2004 to 2005, and is currently a postdoctoral researcher with the Department of Biomedical Engineering at the University of Michigan. His current research interests include optoacoustic transduction and imaging, ultrasound elasticity imaging, and. thermal strain imaging.
Tao Ling received the B.S. degree in physics from Nankai University, China, and the M.S. degree in optics from Fudan University, China. He is currently pursuing the Ph.D. degree in electrical engineering from the University of Michigan at Ann Arbor, U.S.A. He is working on optical micro-cavity related bio-chemical sensor, imaging and laser.

Jin-Sung Kim received the B.S. degree from the Department of Metallurgical Engineering in Hanyang University, Seoul, South Korea in 1996, and M.S. and Ph.D. degree in the Department of Electrical Engineering and Computer Science from Syracuse University, USA in 2000, 2002. Since then he worked in LG Electronics Institute of Technology, Korea for 3 years. Then he was a postdoctoral researcher in the EECS Department at the University of Michigan, working in the field of nanotechnology. Currently he is working in LG Electronics Institute of Technology. His main research interests include optics and Nanotechnology.

Shai Ashkenazi (M’00) Received the B.Sc. in physics form the Technion Israel Institute of Technology, Haifa, Israel in 1988, and his Ph.D in physics from the Weizmann Institute of Science, Rehovot, Israel in 1997. He then worked for 6 years in research and development companies in the fields of ultrasonic and optical devices for medical applications.
In 2003, he moved to the University of Michigan, Ann Arbor, MI, where he is currently a research scientist. His research interests include medical imaging and nanotechnology.

L. Jay Guo (S’96-M’97) received his Ph.D. from the University of Minnesota, MN, in 1997. He was a Research Associate at Princeton University from 1998 to 1999. He is currently an Associate Professor in the Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor. His research areas include nanofabrication technologies with applications in polymer photonic devices, nanoimprint technology, organic electronics, and nanophotonics.
References
- 1.Foster SF, Pavlin CJ, Harasiewicz KA, Christopher DA, Turnbull DH. Advances in ultrasound biomicroscopy. Ultrasound in Med Biol. 2000;26:1. doi: 10.1016/s0301-5629(99)00096-4. [DOI] [PubMed] [Google Scholar]
- 2.Little BE, Chu ST, Haus HA. Second-order filtering and sensing with partially coupled traveling waves in a single resonator. Opt Lett. 1998;23:1570. doi: 10.1364/ol.23.001570. [DOI] [PubMed] [Google Scholar]
- 3.Chao CY, Ashkenazi S, Huang SW, O’Donnell M, Guo LJ. High-frequency ultrasound Sensors using polymer microring resonators. IEEE Trans Ultrason, Ferroelect, Freq Contr. 2007;54:957–965. doi: 10.1109/tuffc.2007.341. [DOI] [PubMed] [Google Scholar]
- 4.Chao CY, Fung W, Guo LJ. High Q-Factor Polymer Microring Resonators for Biochemical Sensing Applications. IEEE Special Topics in Quantum Electronics. 2006;12:134–142. [Google Scholar]
- 5.Chao CY, Guo LJ. Polymer Micro-ring Resonators Fabricated by Nanoimprint Technique. J Vac Sci & Technol B. 2002;20(6):2862–2866. [Google Scholar]
- 6.Guo LJ. Nanoimprint Lithography: Methods and Material Requirement. Adv Mater. 2007;19:495–513. [Google Scholar]
- 7.Beard PC, Perennes F, Mills TN. Transduction mechanisms of the Fabry Perot polymer film sensing concept for wideband ultrasound detection. IEEE Trans Ultrason, Ferroelect, Freq Contr. 1999;46(6):1575–1582. doi: 10.1109/58.808883. [DOI] [PubMed] [Google Scholar]
- 8.Maxwell AD, Sapozhnikov OA, Bailey MR. A New PVDF Membrane Hydrophone for Measurement of Medical Shock Waves. IEEE 2006 Ultrasonics Symposium; 2006. pp. 1608–1611. [Google Scholar]
- 9.Blackstock DT. Fundamentals of Physical Acoustics. John Wiley & Sons, Inc; New York, NY: 2000. [Google Scholar]
- 10.Precision Acoustics, Dorchester UK piezoelectric PVDF needle hydrophone of 75 μm active detection size. Specification data quoted from http://www.acoustics.co.uk/products/hpm04-1.
- 11.Hou Y, Kim JS, Ashkenazi S, O’Donnell M, Guo LJ. Optical generation of high frequency ultrasound using two-dimensional gold nanostructure. Appl Phys Lett. 2006;89:93901-1-3. [Google Scholar]
- 12.Hou Y, Kim JS, Ashkenazi S, Huang SW, Guo LJ, O’Donnell M. Broadband All-Optical Ultrasound Transducers. Appl Phys Lett. 2007;91:073507. [Google Scholar]







