Surface acoustic wave

Last updated
Experimental image of surface acoustic waves on a crystal of tellurium oxide TeO2SAWs.jpg
Experimental image of surface acoustic waves on a crystal of tellurium oxide

A surface acoustic wave (SAW) is an acoustic wave traveling along the surface of a material exhibiting elasticity, with an amplitude that typically decays exponentially with depth into the material, such that they are confined to a depth of about one wavelength. [2] [3]

Contents

Discovery

SAWs were first explained in 1885 by Lord Rayleigh, who described the surface acoustic mode of propagation and predicted its properties in his classic paper. [4] Named after their discoverer, Rayleigh waves have a longitudinal and a vertical shear component that can couple with any media like additional layers in contact with the surface. This coupling strongly affects the amplitude and velocity of the wave, allowing SAW sensors to directly sense mass and mechanical properties. The term 'Rayleigh waves' is often used synonymously with 'SAWs', although strictly speaking there are multiple types of surface acoustic waves, such as Love waves, which are polarised in the plane of the surface, rather than longitudinal and vertical.

SAWs such as Love and Rayleigh waves tend to propagate for much longer than bulk waves, as they only have to travel in two dimensions, rather than in three. Furthermore, in general they have a lower velocity than their bulk counterparts.

SAW devices

Surface acoustic wave devices provide wide-range of applications with the use of electronic system, including delay lines, filters, correlators and DC to DC converters. The possibilities of these SAW device could provide potential field in radar system, communication systems.

Application in electronic components

This kind of wave is commonly used in devices called SAW devices in electronic circuits. SAW devices are used as filters, oscillators and transformers, devices that are based on the transduction of acoustic waves. The transduction from electric energy to mechanical energy (in the form of SAWs) is accomplished by the use of piezoelectric materials.

Schematic picture of a typical SAW device design SAW device.png
Schematic picture of a typical SAW device design

Electronic devices employing SAWs normally use one or more interdigital transducers (IDTs) to convert acoustic waves to electrical signals and vice versa by exploiting the piezoelectric effect of certain materials, like quartz, lithium niobate, lithium tantalate, lanthanum gallium silicate, etc. [5] These devices are fabricated by substrate cleaning/treatments like polishing, metallisation, photolithography, and passivation/protection (dielectric) layer manufacturing. These are typical process steps used in manufacturing of semiconductors like silicon integrated circuits.

All parts of the device (substrate, its surface, metallisation material type, thickness of metallisation, its edges formed by photolithography, layers - like passivation coating the metallisation) have effect on the performance of the SAW devices because propagation of Rayleigh waves is highly dependent on the substrate material surface, its quality and all layers in contact with the substrate. For example in SAW filters the sampling frequency is dependent on the width of the IDT fingers, the power handling capability is related to the thickness and materials of the IDT fingers, and the temperature stability depends not only of the temperature behavior of the substrate but also on the metals selected for the IDT electrodes and the possible dielectric layers coating the substrate and the electrodes.

SAW filters are now used in mobile telephones, and provide technical advantages in performance, cost, and size over other filter technologies such as quartz crystals (based on bulk waves), LC filters, and waveguide filters specifically at frequencies below 1.5-2.5 GHz depending on the RF power needed to be filtered. Complementing technology to SAW for frequencies above 1.5-2.5 GHz is based on thin-film bulk acoustic resonators (TFBAR, or FBAR).

Much research has been done in the last 20 years in the area of surface acoustic wave sensors. [6] Sensor applications include all areas of sensing (such as chemical, optical, thermal, pressure, acceleration, torque and biological). SAW sensors have seen relatively modest commercial success to date, but are commonly commercially available for some applications such as touchscreen displays. They have been successfully applied to torque sensing in motorsport powertrains [7] and high performance aerospace applications [8] as well as temperature sensing in harsh environments such as high voltage electrical power transmission and the combined sensing of torque and temperature on the rotor of electric motors [9]

SAW device applications in radio and television

SAW resonators are used in many of the same applications in which quartz crystals are used, because they can operate at higher frequency. [10] They are often used in radio transmitters where tunability is not required. They are often used in applications such as garage door opener remote controls, short range radio frequency links for computer peripherals, and other devices where channelization is not required. Where a radio link might use several channels, quartz crystal oscillators are more commonly used to drive a phase locked loop. Since the resonant frequency of a SAW device is set by the mechanical properties of the crystal, it does not drift as much as a simple LC oscillator, where conditions such as capacitor performance and battery voltage will vary substantially with temperature and age.

SAW filters are also often used in radio receivers, as they can have precisely determined and narrow passbands. This is helpful in applications where a single antenna must be shared between a transmitter and a receiver operating at closely spaced frequencies. SAW filters are also frequently used in television receivers, for extracting subcarriers from the signal; until the analog switchoff, the extraction of digital audio subcarriers from the intermediate frequency strip of a television receiver or video recorder was one of the main markets for SAW filters.

Early pioneer Jeffery Collins incorporated surface acoustic wave devices in a Skynet receiver he developed in the 1970s. It synchronised signals faster than existing technology. [11]

They are also often used in digital receivers, and are well suited to superhet applications. This is because the intermediate frequency signal is always at a fixed frequency after the local oscillator has been mixed with the received signal, and so a filter with a fixed frequency and high Q provides excellent removal of unwanted or interference signals.

In these applications, SAW filters are almost always used with a phase locked loop synthesized local oscillator, or a varicap driven oscillator.

SAW in geophysics

In seismology surface acoustic waves could become the most destructive type of seismic wave produced by earthquakes, [12] which propagate in more complex media, such as ocean bottom, rocks, etc. so that it need to be noticed and monitored by people to protect living environment.

SAW in quantum acoustics

SAWs play a key role in the field of quantum acoustics (QA) where, in contrast to quantum optics (QO) which studies the interaction between matter and light, the interaction between quantum systems (phonons, (quasi-)particles and artificial qubits) and acoustic waves is analysed. The propagation speed of the respective waves of QA is five orders of magnitude slower than that of QO. As a result, QA offers a different perspective of the quantum regime in terms of wavelengths which QO has not covered. [13] One example of these additions is the quantum optical investigation of qubits and quantum dots fabricated in such a way as to emulate essential aspects of natural atoms, e.g. energy-level structures and coupling to an electromagnetic field. [14] [15] [16] [17] [18] These artificial atoms are arranged into a circuit dubbed ‘giant atoms’, due to its size reaching 10−4–10−3 m. [19] Quantum optical experiments generally made use of microwave fields for matter-light interaction, but because of the difference of wavelength between the giant atoms and microwave fields, the latter of which has a wavelength ranging between 10−2–10−1 m, SAWs were used instead for their more suitable wavelength (10−6 m). [20]

Within the fields of magnonics and spintronics, a resonant coupling between spin waves and surface acoustic waves with equal wave-vector and frequency allows for the transfer of energy from one form to another, in either direction. [13] This can for example be useful in the construction of magnetic field sensors, which are sensitive to both the intensity and direction of external magnetic fields. These sensors, constructed using a structure of magnetostrictive and piezoelectric layers have the benefit of operating without batteries and wires, as well as having a broad range of operating conditions, such as high temperatures or rotating systems. [21]

Single electron control

Animation of an electron transported via a surface acoustic wave. SAW QD electron transport.gif
Animation of an electron transported via a surface acoustic wave.

Even at the smallest scales of current semiconductor technology, each operation is carried out by huge streams of electrons. [22] Reducing the number of electrons involved in these processes, with the ultimate goal of achieving single electron control is a serious challenge. This is due to the electrons being highly interactive with each other and their surroundings, making it difficult to separate just one from the rest. [23] The use of SAWs can help with achieving this goal. When SAWs are generated on a piezoelectric surface, the strain wave generates an electromagnetic potential. The potential minima can then trap single electrons, allowing them to be individually transported. Although this technique was first thought of as a way to accurately define a standard unit of current, [24] it turned out to be more useful in the field of quantum information. [25] Usually, qubits are stationary, making the transfer of information between them difficult. The single electrons, carried by the SAWs, can be used as so called flying qubits, able to transport information from one place to another. To realise this a single electron source is needed, as well as a receiver between which the electron can be transported. Quantum dots (QD) are typically used for these stationary electron confinements. This potential minimum is sometimes called a SAW QD. The process, as seen in the GIF on the right, is typically as follows. First SAWs are generated with an interdigital transducer with specific dimensions between the electrodes to get the favorable wavelengths. [22] Then from the stationary QD the electron quantum tunnels to the potential minimum, or SAW QD. The SAWs transfer some kinetic energy to the electron, driving it forward. It is then carried through a one dimensional channel on a surface of piezoelectric semiconductor material like GaAs. [23] [24] Finally, the electron tunnels out of the SAW QD and into the receiver QD, after which the transfer is complete. This process can also be repeated in both directions. [26]

SAW and 2D materials

As acoustic vibrations can interact with the moving charges in a piezoelectric semiconductor through the strain-induced piezoelectric field in bulk materials, this acoustoelectric (AE) coupling is also important in 2D materials, such as graphene. In these 2D materials the two-dimensional electron gas has band gap energies generally much higher than the energy of the SAW phonons traveling through the material. Therefore the SAW phonons are typically absorbed via intra-band electronic transitions. In graphene these transitions are the only way, as the linear dispersion relation of its electrons prevents momentum/energy conservation when it would absorb a SAW for an inter-band transition. [27]

Often the interaction between moving charges and SAWs results in the diminishing of the SAW intensity as it moves through the 2D electron gas, as well as re-normalizing the SAW velocity. The charges take over kinetic energy from the SAW and lose this energy again through carrier scattering.

Aside from SAW intensity attenuation, there are specific situations in which the wave can be amplified as well. By applying a voltage over the material, the charge carriers may obtain a higher drift speed than the SAW. Then they pass on a part of their kinetic energy to the SAW, causing it to amplify its intensity and velocity. The converse works as well. If the SAW is moving faster than the carriers, it may transfer kinetic energy to them, and thereby losing some velocity and intensity. [28]

SAW in microfluidics

In recent years, attention has been drawn to using SAWs to drive microfluidic actuation and a variety of other processes. Owing to the mismatch of sound velocities in the SAW substrate and fluid, SAWs can be efficiently transferred into the fluid, creating significant inertial forces and fluid velocities. This mechanism can be exploited to drive fluid actions such as pumping, mixing, and jetting.[8] To drive these processes, there is a change of mode of the wave at the liquid-substrate interface. In the substrate, the SAW wave is a transverse wave and upon entering the droplet the wave becomes a longitudinal wave.[9] It is this longitudinal wave that creates the flow of fluid within the microfluidic droplet, allowing mixing to take place. This technique can be used as an alternative to microchannels and microvalves for manipulation of substrates, allowing for an open system. [29]

This mechanism has also been used in droplet-based microfluidics for droplet manipulation. Notably, using SAW as an actuation mechanism, droplets were pushed towards two [30] [31] or more [32] outlets for sorting. Moreover, SAWs were used for droplet size modulation, [33] [34] splitting, [35] [30] [36] trapping, [37] tweezing, [38] and nanofluidic pipetting. [36] Droplet impact on flat and inclined surfaces has been manipulated and controlled using SAW. [39] [40]

PDMS (polydimethylsiloxane) is a material that can be used to create microchannels and microfluidic chips. It has many uses, including in experiments where living cells are to be tested or processed. If living organisms need to be kept alive, it is important to monitor and control their environment, such as heat and pH levels; however, if these elements are not regulated, the cells may die or it may result in unwanted reactions. [41] PDMS has been found to absorb acoustic energy, causing the PDMS to heat up quickly (exceeding 2000 Kelvin/second). [42] The use of SAW as a way to heat these PDMS devices, along with liquids inside microchannels, is now a technique that can be done in a controlled manner with the ability to manipulate the temperature to within 0.1 °C. [42] [43]

The development of Flexible Surface Acoustic Wave (SAW) devices has been a significant driver in the advancement of wearable technology and microfluidic systems. These devices are typically fabricated on polymer substrates, such as Polyethylene Naphthalate (PEN) and polyimide, and utilize sputtering deposition of materials like AlN and ZnO. [44] This combination of flexibility and advanced materials has expanded their application potential across various fields.

SAW in flow measurement

Surface acoustic waves can be used for flow measurement. SAW relies on the propagation of a wave front, which appears similar to seismic activities. The waves are generated at the excitation centre and spread out along the surface of a solid material. An electric pulse induces them to generate SAWs that propagate like the waves of an earthquake. Interdigital transducer acts as sender and as receiver. When one is in sender mode, the two most distant ones act as receivers. The SAWs travel along the surface of the measuring tube, but a portion will couple out to the liquid. The decoupling angle depends on the liquid respectively the propagation velocity of the wave which is specific to the liquid. On the other side of the measuring tube, portions of the wave will couple into the tube and continue their way along its surface to the next interdigital transducer. Another portion will be coupled out again and travels back to the other side of the measuring tube where the effect repeats itself and the transducer on this side detects the wave. That means excitation of any one transducer here will lead to a sequence of input signals on two other transducers in the distance. Two of the transducers send their signals in the direction of flow, two in the other direction. [45]

See also

Related Research Articles

<span class="mw-page-title-main">Microfluidics</span> Interdisciplinary science

Microfluidics refers to a system that manipulates a small amount of fluids using small channels with sizes ten to hundreds micrometres. It is a multidisciplinary field that involves molecular analysis, molecular biology, and microelectronics. It has practical applications in the design of systems that process low volumes of fluids to achieve multiplexing, automation, and high-throughput screening. Microfluidics emerged in the beginning of the 1980s and is used in the development of inkjet printheads, DNA chips, lab-on-a-chip technology, micro-propulsion, and micro-thermal technologies.

<span class="mw-page-title-main">Piezoelectricity</span> Electric charge generated in certain solids due to mechanical stress

Piezoelectricity is the electric charge that accumulates in certain solid materials—such as crystals, certain ceramics, and biological matter such as bone, DNA, and various proteins—in response to applied mechanical stress. The word piezoelectricity means electricity resulting from pressure and latent heat. It is derived from Ancient Greek πιέζω (piézō) 'to squeeze or press', and ἤλεκτρον (ḗlektron) 'amber'. The German form of the word (Piezoelektricität) was coined in 1881 by the German physicist Wilhelm Gottlieb Hankel; the English word was coined in 1883.

<span class="mw-page-title-main">Aluminium nitride</span> Chemical compound

Aluminium nitride (AlN) is a solid nitride of aluminium. It has a high thermal conductivity of up to 321 W/(m·K) and is an electrical insulator. Its wurtzite phase (w-AlN) has a band gap of ~6 eV at room temperature and has a potential application in optoelectronics operating at deep ultraviolet frequencies.

A thin-film bulk acoustic resonator is a device consisting of a piezoelectric material manufactured by thin film methods between two conductive – typically metallic – electrodes and acoustically isolated from the surrounding medium. The operation is based on the piezoelectricity of the piezolayer between the electrodes.

<span class="mw-page-title-main">Acoustic levitation</span> Suspension of objects using sound waves

Acoustic levitation is a method for suspending matter in air against gravity using acoustic radiation pressure from high intensity sound waves.

<span class="mw-page-title-main">Interdigital transducer</span>

An interdigital transducer (IDT) is a device that consists of two interlocking comb-shaped arrays of metallic electrodes. These metallic electrodes are deposited on the surface of a piezoelectric substrate, such as quartz or lithium niobate, to form a periodic structure.

<span class="mw-page-title-main">Ultrasonic transducer</span> Acoustic sensor

Ultrasonic transducers and ultrasonic sensors are devices that generate or sense ultrasound energy. They can be divided into three broad categories: transmitters, receivers and transceivers. Transmitters convert electrical signals into ultrasound, receivers convert ultrasound into electrical signals, and transceivers can both transmit and receive ultrasound.

<span class="mw-page-title-main">Vibration-powered generator</span>

A vibration powered generator is a type of electric generator that converts the kinetic energy from vibration into electrical energy. The vibration may be from sound pressure waves or other ambient vibrations.

Surface acoustic wave gas sensor or surface acoustic wave (SAW) sensors consist of an input transducer, a chemically adsorbent polymer film, and an output transducer on a piezoelectric substrate, which is typically quartz. The input transducer launches an acoustic wave that travels through the chemical film and is detected by the output transducer. SAW devices have been able to detect and distinguish between organophosphates, chlorinated hydrocarbons, ketones, alcohols, aromatic hydrocarbons, saturated hydrocarbons, and water. Such a device made at Sandia National Laboratories runs at a very high frequency, and the velocity and attenuation of the signal are sensitive to the viscoelasticity and mass of the thin film. The SAW device has four channels, each channel consisting of a transmitter and a receiver, separated by a small distance. Three of the four channels have a polymer deposited on the substrate between the transmitter and receiver. The purpose of the polymers is to adsorb chemicals of interest, with different polymers having different affinities for various chemicals. When a target chemical is adsorbed, the mass of the associated polymer increases, causing a slight change in phase of the acoustic signal relative to the reference (fourth) channel, which has no polymer. The SAW device also contains three Application Specific Integrated Circuit chips (ASICs), which contain the electronics to analyze the signals and output a DC voltage signal proportional to the phase shift. The SAW device, containing the transducers and ASICs, is bonded to a piece of quartz glass, which is placed in a leadless chip carrier (LCC). Wire bonds connect the terminals of the leadless chip carrier to the SAW circuits.

<span class="mw-page-title-main">Ultrasonic nozzle</span> Type of spray nozzle

Ultrasonic nozzles are a type of spray nozzle that use high frequency vibrations produced by piezoelectric transducers acting upon the nozzle tip that create capillary waves in a liquid film. Once the amplitude of the capillary waves reaches a critical height, they become too tall to support themselves and tiny droplets fall off the tip of each wave resulting in atomization.

<span class="mw-page-title-main">Bio-MEMS</span>

Bio-MEMS is an abbreviation for biomedical microelectromechanical systems. Bio-MEMS have considerable overlap, and is sometimes considered synonymous, with lab-on-a-chip (LOC) and micro total analysis systems (μTAS). Bio-MEMS is typically more focused on mechanical parts and microfabrication technologies made suitable for biological applications. On the other hand, lab-on-a-chip is concerned with miniaturization and integration of laboratory processes and experiments into single chips. In this definition, lab-on-a-chip devices do not strictly have biological applications, although most do or are amenable to be adapted for biological purposes. Similarly, micro total analysis systems may not have biological applications in mind, and are usually dedicated to chemical analysis. A broad definition for bio-MEMS can be used to refer to the science and technology of operating at the microscale for biological and biomedical applications, which may or may not include any electronic or mechanical functions. The interdisciplinary nature of bio-MEMS combines material sciences, clinical sciences, medicine, surgery, electrical engineering, mechanical engineering, optical engineering, chemical engineering, and biomedical engineering. Some of its major applications include genomics, proteomics, molecular diagnostics, point-of-care diagnostics, tissue engineering, single cell analysis and implantable microdevices.

Rayleigh waves are a type of surface acoustic wave that travel along the surface of solids. They can be produced in materials in many ways, such as by a localized impact or by piezo-electric transduction, and are frequently used in non-destructive testing for detecting defects. Rayleigh waves are part of the seismic waves that are produced on the Earth by earthquakes. When guided in layers they are referred to as Lamb waves, Rayleigh–Lamb waves, or generalized Rayleigh waves.

Cell sorting is the process through which a particular cell type is separated from others contained in a sample on the basis of its physical or biological properties, such as size, morphological parameters, viability and both extracellular and intracellular protein expression. The homogeneous cell population obtained after sorting can be used for a variety of applications including research, diagnosis, and therapy.

Surface acoustic wave sensors are a class of microelectromechanical systems (MEMS) which rely on the modulation of surface acoustic waves to sense a physical phenomenon. The sensor transduces an input electrical signal into a mechanical wave which, unlike an electrical signal, can be easily influenced by physical phenomena. The device then transduces this wave back into an electrical signal. Changes in amplitude, phase, frequency, or time-delay between the input and output electrical signals can be used to measure the presence of the desired phenomenon.

<span class="mw-page-title-main">Whispering-gallery wave</span> Wave that can travel around a concave surface

Whispering-gallery waves, or whispering-gallery modes, are a type of wave that can travel around a concave surface. Originally discovered for sound waves in the whispering gallery of St Paul's Cathedral, they can exist for light and for other waves, with important applications in nondestructive testing, lasing, cooling and sensing, as well as in astronomy.

Acoustic tweezers are a set of tools that use sound waves to manipulate the position and movement of very small objects. Strictly speaking, only a single-beam based configuration can be called acoustical tweezers. However, the broad concept of acoustical tweezers involves two configurations of beams: single beam and standing waves. The technology works by controlling the position of acoustic pressure nodes that draw objects to specific locations of a standing acoustic field. The target object must be considerably smaller than the wavelength of sound used, and the technology is typically used to manipulate microscopic particles.

Optoelectrowetting (OEW) is a method of liquid droplet manipulation used in microfluidics applications. This technique builds on the principle of electrowetting, which has proven useful in liquid actuation due to fast switching response times and low power consumption. Where traditional electrowetting runs into challenges, however, such as in the simultaneous manipulation of multiple droplets, OEW presents a lucrative alternative that is both simpler and cheaper to produce. OEW surfaces are easy to fabricate, since they require no lithography, and have real-time, reconfigurable, large-scale manipulation control, due to its reaction to light intensity.

Acousto-electronics is a branch of physics, acoustics and electronics that studies interactions of ultrasonic and hypersonic waves in solids with electrons and with electro-magnetic fields. Typical phenomena studied in acousto-electronics are acousto-electric effect and also amplification of acoustic waves by flows of electrons in piezoelectric semiconductors, when the drift velocity of the electrons exceeds the velocity of sound. The term 'acousto-electronics' is often understood in a wider sense to include numerous practical applications of the interactions of electro-magnetic fields with acoustic waves in solids. In particular, these are signal processing devices using surface acoustic waves (SAW), different sensors of temperature, pressure, humidity, acceleration, etc.

<span class="mw-page-title-main">Inkjet technology</span>

Inkjet technology originally was invented for depositing aqueous inks on paper in 'selective' positions based on the ink properties only. Inkjet nozzles and inks were designed together and the inkjet performance was based on a design. It was used as a data recorder in the early 1950s, later in the 1950s co-solvent-based inks in the publishing industry were seen for text and images, then solvent-based inks appeared in industrial marking on specialized surfaces and in the1990's phase change or hot-melt ink has become a popular with images and digital fabrication of electronic and mechanical devices, especially jewelry. Although the terms "jetting", "inkjet technology" and "inkjet printing", are commonly used interchangeably, inkjet printing usually refers to the publishing industry, used for printing graphical content, while industrial jetting usually refers to general purpose fabrication via material particle deposition.

Droplet-based microfluidics manipulate discrete volumes of fluids in immiscible phases with low Reynolds number and laminar flow regimes. Interest in droplet-based microfluidics systems has been growing substantially in past decades. Microdroplets offer the feasibility of handling miniature volumes of fluids conveniently, provide better mixing, encapsulation, sorting, sensing and are suitable for high throughput experiments. Two immiscible phases used for the droplet based systems are referred to as the continuous phase and dispersed phase.

References

  1. Applied Solid State Physics Laboratory - Hokkaido University. Kino-ap.eng.hokudai.ac.jp (2013-11-28). Retrieved on 2013-12-09.
  2. APITech. "SAW Technology". info.apitech.com. Retrieved 2021-05-12.
  3. Crook, Alex (2013-10-17). "Surface Acoustic Waves (SAWs)". www.sp.phy.cam.ac.uk. Retrieved 2022-01-24.
  4. Lord Rayleigh (1885). "On Waves Propagated along the Plane Surface of an Elastic Solid". Proc. London Math. Soc. s1-17 (1): 4–11. doi:10.1112/plms/s1-17.1.4.
  5. Weigel, R.; Morgan, D.P.; Owens, J.M.; Ballato, A.; Lakin, K.M.; Hashimoto, K.; Ruppel, C.C.W. (2002). "Microwave acoustic materials, devices, and applications". IEEE Transactions on Microwave Theory and Techniques. 50 (3): 738–749. Bibcode:2002ITMTT..50..738W. doi:10.1109/22.989958.
  6. Benes, E.; Gröschl, M.; Seifert, F. (1997). "Comparison between BAW and SAW sensor principles". Proceedings of International Frequency Control Symposium. Vol. 45. pp. 5–20. doi:10.1109/FREQ.1997.638514. ISBN   978-0-7803-3728-2. S2CID   110101321.{{cite book}}: |journal= ignored (help)
  7. "Mclaren Applied Torque Measurement System".
  8. "Transense Technology Improved torque measurement for GE helicopter".
  9. "Emobility Engineering - Torque Sensing". 23 November 2022.
  10. Biryukov, S.V.; Gulyaev, Y.V.; Krylov, V.V.; Plessky, V.P. (1995). Surface Acoustic Waves in Inhomogeneous Media. Springer. ISBN   9783540584605.
  11. "Jeffrey Collins Obituary Herald Newspaper". October 2015.
  12. Aki, Keiiti; Richards, Paul G. (1980). Quantitative seismology. Freeman.
  13. 1 2 Per Delsing et al. 2019 J. Phys. D: Appl. Phys. 52 353001
  14. Hanson, R.; Kouwenhoven, L. P.; Petta, J. R.; Tarucha, S.; Vandersypen, L. M. K. (2007-10-01). "Spins in few-electron quantum dots". Reviews of Modern Physics. 79 (4): 1217–1265. arXiv: cond-mat/0610433 . Bibcode:2007RvMP...79.1217H. doi:10.1103/revmodphys.79.1217. ISSN   0034-6861. S2CID   9107975.
  15. You, J. Q.; Nori, Franco (2011). "Atomic physics and quantum optics using superconducting circuits". Nature. 474 (7353): 589–597. arXiv: 1202.1923 . Bibcode:2011Natur.474..589Y. doi:10.1038/nature10122. ISSN   0028-0836. PMID   21720362. S2CID   4319078.
  16. Xiang, Ze-Liang; Ashhab, Sahel; You, J. Q.; Nori, Franco (2013-04-09). "Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems". Reviews of Modern Physics. 85 (2): 623–653. arXiv: 1204.2137 . Bibcode:2013RvMP...85..623X. doi:10.1103/revmodphys.85.623. ISSN   0034-6861. S2CID   12868839.
  17. Gu, Xiu; Kockum, Anton Frisk; Miranowicz, Adam; Liu, Yu-xi; Nori, Franco (2017). "Microwave photonics with superconducting quantum circuits". Physics Reports. 718–719: 1–102. arXiv: 1707.02046 . Bibcode:2017PhR...718....1G. doi:10.1016/j.physrep.2017.10.002. ISSN   0370-1573. S2CID   119396458.
  18. Kockum, Anton Frisk; Nori, Franco (2019), "Quantum Bits with Josephson Junctions", Fundamentals and Frontiers of the Josephson Effect, Springer Series in Materials Science, Cham: Springer International Publishing, vol. 286, pp. 703–741, arXiv: 1908.09558 , doi:10.1007/978-3-030-20726-7_17, ISBN   978-3-030-20724-3, S2CID   202152287 , retrieved 2022-01-18
  19. Frisk Kockum, Anton; Delsing, Per; Johansson, Göran (2014-07-30). "Designing frequency-dependent relaxation rates and Lamb shifts for a giant artificial atom". Physical Review A. 90 (1): 013837. arXiv: 1406.0350 . Bibcode:2014PhRvA..90a3837F. doi:10.1103/physreva.90.013837. ISSN   1050-2947. S2CID   26805221.
  20. Gustafsson, Martin V.; Aref, Thomas; Kockum, Anton Frisk; Ekström, Maria K.; Johansson, Göran; Delsing, Per (2014-10-10). "Propagating phonons coupled to an artificial atom". Science. 346 (6206): 207–211. arXiv: 1404.0401 . Bibcode:2014Sci...346..207G. doi:10.1126/science.1257219. ISSN   0036-8075. PMID   25213379. S2CID   24207629.
  21. Elhosni, Meriem; Elmazria, Omar; Petit-Watelot, Sébastien; Bouvot, Laurent; Zhgoon, Sergei; Talbi, Abdelkrim; Hehn, Michel; Aissa, Keltouma Ait; Hage-Ali, Sami; Lacour, Daniel; Sarry, Frederic (April 2016). "Magnetic field SAW sensors based on magnetostrictive-piezoelectric layered structures: FEM modeling and experimental validation". Sensors and Actuators A: Physical. 240: 41–49. doi:10.1016/j.sna.2015.10.031. hdl: 20.500.12210/45497 . ISSN   0924-4247.
  22. 1 2 Bäuerle, C.; Christian Glattli, D.; Meunier, T.; Portier, F.; Roche, P.; Roulleau, P.; Takada, S.; Waintal, X. (2018). "Coherent control of single electrons: A review of current progress". Reports on Progress in Physics. 81 (5): 056503. arXiv: 1801.07497 . Bibcode:2018RPPh...81e6503B. doi:10.1088/1361-6633/aaa98a. PMID   29355831. S2CID   4634928.
  23. 1 2 Hermelin, Sylvain; Takada, Shintaro; Yamamoto, Michihisa; Tarucha, Seigo; Wieck, Andreas D.; Saminadayar, Laurent; Bäuerle, Christopher; Meunier, Tristan (September 2011). "Electrons surfing on a sound wave as a platform for quantum optics with flying electrons". Nature. 477 (7365): 435–438. arXiv: 1107.4759 . Bibcode:2011Natur.477..435H. doi:10.1038/nature10416. ISSN   0028-0836. PMID   21938064. S2CID   4431106.
  24. 1 2 Ford, Christopher J. B. (2017). "Transporting and manipulating single electrons in surface-acoustic-wave minima". Physica Status Solidi B. 254 (3): 1600658. arXiv: 1702.06628 . Bibcode:2017PSSBR.25400658F. doi:10.1002/pssb.201600658. ISSN   1521-3951. S2CID   55779904.
  25. Barnes, C. H. W.; Shilton, J. M.; Robinson, A. M. (2000-09-15). "Quantum computation using electrons trapped by surface acoustic waves". Physical Review B. 62 (12): 8410–8419. arXiv: cond-mat/0006037 . Bibcode:2000PhRvB..62.8410B. doi:10.1103/PhysRevB.62.8410. S2CID   26938012.
  26. Administrator (2014-01-16). "Playing ping-pong with single electrons". www.sp.phy.cam.ac.uk. Retrieved 2022-01-20.
  27. Zhang, S. H.; Xu, W. (2011-06-01). "Absorption of surface acoustic waves by graphene". AIP Advances. 1 (2): 022146. Bibcode:2011AIPA....1b2146Z. doi: 10.1063/1.3608045 .
  28. Gulyaev, Pustovoit (June 20, 1964). "Amplification of Surface Waves in Semiconductors" (PDF). Soviet Physics JETP. 20 (6): 2.
  29. Yang, Chun-Guang; Xu, Zhang-Run; Wang, Jian-Hua (February 2010). "Manipulation of droplets in microfluidic systems". Trends in Analytical Chemistry. 29 (2): 141–157. doi:10.1016/j.trac.2009.11.002.
  30. 1 2 Sesen, Muhsincan; Alan, Tuncay; Neild, Adrian (2015). "Microfluidic plug steering using surface acoustic waves". Lab on a Chip. 15 (14): 3030–3038. doi:10.1039/c5lc00468c. ISSN   1473-0197. PMID   26079216.
  31. Franke, Thomas; Abate, Adam R.; Weitz, David A.; Wixforth, Achim (2009). "Surface acoustic wave (SAW) directed droplet flow in microfluidics for PDMS devices". Lab on a Chip. 9 (18): 2625–7. doi:10.1039/b906819h. ISSN   1473-0197. PMID   19704975.
  32. Ding, Xiaoyun; Lin, Sz-Chin Steven; Lapsley, Michael Ian; Li, Sixing; Guo, Xiang; Chan, Chung Yu; Chiang, I-Kao; Wang, Lin; McCoy, J. Philip (2012). "Standing surface acoustic wave (SSAW) based multichannel cell sorting". Lab on a Chip. 12 (21): 4228–31. doi:10.1039/c2lc40751e. ISSN   1473-0197. PMC   3956451 . PMID   22992833.
  33. Schmid, Lothar; Franke, Thomas (2013). "SAW-controlled drop size for flow focusing". Lab on a Chip. 13 (9): 1691–4. doi:10.1039/c3lc41233d. ISSN   1473-0197. PMID   23515518.
  34. Schmid, Lothar; Franke, Thomas (2014-03-31). "Acoustic modulation of droplet size in a T-junction". Applied Physics Letters. 104 (13): 133501. Bibcode:2014ApPhL.104m3501S. doi:10.1063/1.4869536. ISSN   0003-6951.
  35. Jung, Jin Ho; Destgeer, Ghulam; Ha, Byunghang; Park, Jinsoo; Sung, Hyung Jin (2016). "On-demand droplet splitting using surface acoustic waves". Lab on a Chip. 16 (17): 3235–3243. doi:10.1039/C6LC00648E. ISSN   1473-0197. PMID   27435869. S2CID   42168235.
  36. 1 2 Sesen, Muhsincan; Devendran, Citsabehsan; Malikides, Sean; Alan, Tuncay; Neild, Adrian (2017). "Surface acoustic wave enabled pipette on a chip". Lab on a Chip. 17 (3): 438–447. doi:10.1039/c6lc01318j. hdl: 10044/1/74636 . ISSN   1473-0197. PMID   27995242.
  37. Jung, Jin Ho; Destgeer, Ghulam; Park, Jinsoo; Ahmed, Husnain; Park, Kwangseok; Sung, Hyung Jin (2017-02-21). "On-Demand Droplet Capture and Release Using Microwell-Assisted Surface Acoustic Waves". Analytical Chemistry. 89 (4): 2211–2215. doi:10.1021/acs.analchem.6b04542. ISSN   0003-2700. PMID   28192923.
  38. Sesen, Muhsincan; Alan, Tuncay; Neild, Adrian (2014). "Microfluidic on-demand droplet merging using surface acoustic waves". Lab Chip. 14 (17): 3325–3333. doi:10.1039/c4lc00456f. ISSN   1473-0197. PMID   24972001. S2CID   13004633.
  39. H. Biroun, Mehdi; Rahmati, Mohammad; Tao, Ran; Torun, Hamdi; Jangi, Mehdi; Fu, Yongqing (2020-08-07). "Dynamic behavior of droplet impact on inclined surfaces with acoustic waves". Langmuir. 36 (34): 10175–10186. doi: 10.1021/acs.langmuir.0c01628 . ISSN   0743-7463. PMC   8010791 . PMID   32787026.
  40. Biroun, Mehdi H.; Li, Jie; Tao, Ran; Rahmati, Mohammad; McHale, Glen; Dong, Linxi; Jangi, Mehdi; Torun, Hamdi; Fu, YongQing (2020-08-12). "Acoustic Waves for Active Reduction of Contact Time in Droplet Impact". Physical Review Applied. 14 (2): 024029. Bibcode:2020PhRvP..14b4029B. doi:10.1103/PhysRevApplied.14.024029. S2CID   225429856.
  41. Hagen, Stephen J; Son, Minjun (27 January 2017). "Origins of heterogeneity in competence: interpreting an environment-sensitive signaling pathway". Physical Biology. 14 (1): 015001. Bibcode:2017PhBio..14a5001H. doi:10.1088/1478-3975/aa546c. PMC   5336344 . PMID   28129205.
  42. 1 2 Ha, Byung Hang; Lee, Kang Soo; Destgeer, Ghulam; Park, Jinsoo; Choung, Jin Seung; Jung, Jin Ho; Shin, Jennifer Hyunjong; Sung, Hyung Jin (3 July 2015). "Acoustothermal heating of polydimethylsiloxane microfluidic system". Scientific Reports. 5 (1): 11851. Bibcode:2015NatSR...511851H. doi:10.1038/srep11851. PMC   4490350 . PMID   26138310.
  43. Yaralioglu, Goksen (November 2011). "Ultrasonic heating and temperature measurement in microfluidic channels". Sensors and Actuators A: Physical. 170 (1–2): 1–7. doi:10.1016/j.sna.2011.05.012.
  44. Lamanna, Leonardo (2023-08-15). "Recent Progress in Polymeric Flexible Surface Acoustic Wave Devices: Materials, Processing, and Applications". Advanced Materials Technologies. 8 (21). doi: 10.1002/admt.202300362 . ISSN   2365-709X. S2CID   261037910.
  45. Product from Bürkert Fluid Control Systems http://www.processindustryforum.com/article/patented-flow-meter-saw-technology-accurate-flow-measurement-hygienic-applications