References
[1] A.A. Berdyev and B.Khemraev, Russian J. Phys. Chem.
41, 1490 (1967)
[2] A.D. Pierce, Acoustics. An Introduction to Its Physical
Principles and Applications. Woodburg, new York:
Acoustic Society of America, (1989).
[4] Benny G, Hayward G, Chapman R., Beam profile
measurements and simulations for ultrasonic transducers
operating in air, J. Acoust. Soc. Am., 107(4), 2089-100,
(2000).
[5] D.Berlincourt, H.A. Krueger, and C. Near Important
properties of Morgan Electroceramics, Morgan
Electroceramics, Technical Pub., TP-226, (2001)
[6] D.E. Gray, American Institute of Physics Handbook, 3rd
ed., Mc Graw-Hill, new York, (1972)
[7] D.F.Evans, J.Thomas, J.A.Nadas and M.A.Matesich,
J.Phys. Chem. 75 ,1714 (1971)
[8] D.K.Cheng, Field and Wave Electromagnetics, 2nd
ed. Reading, MA: Addison-Wesley, (1989).
[9] G.S.Kino, Acoustic waves: Devices, Imaging, and
Analog signal processing. Englewood cliffs, N.J: Prentice-
Hall, (1988).
[10] L.E.Kinsler, A.R.Frey, A.B.Coppens and J.V.Sanders,
Fundamentals of Acoustics, 3rd ed. New York: Wiley,
(1982).
[11] M. Redwood, Transient performance of a
piezoelectric transducer, J. Acoust. Soc. Am., 33, 527-
536, (1961).
[12] M.G.S. Ali, Analysis of Broadband Piezoelectric
Transducers by Discreet Time Model, Egypt. J. Sol., 23,
287-295, (2000).
[13] M.Hirsekorn, P.P.Delsanto, N.K.Batra and P. Matic,
Modellling and simulation of acoustic wave propagation
in locally resonant sonic materials., Ultrasonics, 42, 231-
235, (2004).
[14] Millman J. and Halkias C, Integrated Electronics,
McHill Ltd. Tokyo, p. 560, (1972).
[15] Muhammad H. Rashid, SPICE for circuits and
electronics using PSPICE, second ed, Printice Hall of India
Pvt, Ltd., New Delhi. (2002).
[16] R. Krimholtz, D.A. Leedom and G.L. Matthei, New
equivalent circuits for elementar y piezoelectric transducers, Electron. Lett., 6, 398-399, (1970)
[17] S.A. Morris and C.G. Hutchens, Implementation of
Mason's model on circuit analysis programs, IEE Trans.
Ultrason., Ferroelect., Freq. Contr., 33, 295-298, (1986)
[18] S.P.Yawale and S.V.Pakade, Solid state variable
frequency pulser-receiver system for ultrasonic
measurements, Indian J., Pure Applied Phys., 33, 638-642,
(1995).
[19] San Emeterio J L, Ramos A, sanz PT, Ruiz A, Azbaid A,
Modeling NDT piezoelectric ultrasonic transmitter.,
Ultrasonics,42, 277-281, (2004)
[20] Sferruzza JP, Chavrier F, Birer A, Cathignol D.,
Numerical simulation of the electro-acoustical response
of a transducer excited by a time-varying electrical
circuit, IEE Trans., Ultrason., Ferroelectr., Freq. Control,
49(2), 177-83,(2002).
[21] Song Hi Lee, Shear Viscosity of Benzene, Toluene, and
p-Xylene by Non-equilibrium Molecular dynamics
Simulations, Bull. Korean Chem. Soc., 25(2), 321-324,
(2004).
[22] W.M.Leach, Controlled-source analogous circuits
and SPICE models for piezoelectric transducers, IEE Trans.
Ultrason., Ferroelect., Freq. Contr., 41, 60-66, (1994).
[23] W.P.Mason, Electromechanical Transducers and
Wave Filters, New York: Van Nostrand, (1942).
[24] W.Schaaff, Numerical data and functional
relationalships in science and technology, New seris
group II: Atomic and molecular Physics, Vol.5: Molecular
Acoustics, Eds: K.H.Hellwege and A.M. Hellweg, Springerverlag,
berline, Heidelberg, New York, (1967)
[25] Weast, Robert C. ed. Handbook of Chemistry and
Physics, 45th ed., Chemical Rubber Co., Cleveland Ohio,
p E-28. (1964).
[26] Xiaoqi Bao, Yoseph bar-Cohen, Zensheu Chang,
benjamin P. Dolgin, Stewart Sherrit, Dharmendra S. Pal, Shu
Du, and Thomas peterson., Modeling and Computer
Simulation of Ultrasonic/Sonic driller/Corer (USDC), IEEE
Trans. Ultrasonics, Sonic. Freq., Control, 50(9), 1147-1160,
(2003).
[27] P.C. Magnusson, G.C. Alexander and V.K.Tripathi, Transmission lines and wave propagation, 3 edition, boca raton, Florida, CRC press, Inc., 1992.
