References
[1]. A.A. Berdyev and B. Khemraev, (1967). Method of
investigating the acoustical properties of liquids at
frequencies of 300–1000 Mc Russian J. Phys. Chem. 41,
1490.
[2]. A.D. Pierce, (1989). Acoustics. An Introduction to Its Physical Principles and Applications. Woodburg, new York:
Acoustic Society of America.
[3]. A. Puttmer, P. Hauptmann, R. Lucklum, O. Krause and
B. Henning, (1997). SPICE model for lossy piezoceramic
transducers., IEEE Trans. Ultrason., Ferroelect., Freq.
Contr., 44, 60-66.
[4]. Benny G, Hayward G, Chapman R. (2000). Beam
profile measurements and simulations for ultrasonic
transducers operating in air, J. Acoust. Soc. Am., 107(4),
2089-100.
[5]. D. Berlincourt, H.A. & Krueger, C. (2001). Near
Important properties of Morgan Electroceramics, Morgan
Electroceramics, Technical Pub., TP-226.
[6]. D.E. Gray, (1972). American Institute of Physics
Handbook, 3rd ed., Mc Graw-Hill, new York.
[7]. D.F. Evans, J. Thomas, J.A. Nadas and M.A. Matesich,
(1971). J. Phys. Chem. 75 ,1714.
[8]. D.K.Cheng,(1989).Field and Wave
Electromagnetics, 2nd ed. Reading, MA: Addison-Wesley.
[9]. G.S. Kino, (1988). Acoustic waves: Devices, Imaging,
and Analog signal processing. Englewood cliffs, N.J:
Prentice-Hall.
[10]. L.E. Kinsler, A.R. Frey, A.B. Coppens and J.V. Sanders,
(1982). Fundamentals of Acoustics, 3rd ed. New York:
Wiley.
[11]. M. Redwood, (1961). Transient performance of a
piezoelectric transducer, J. Acoust. Soc. Am., 33,527-
536.
[12]. M.G.S. Ali, (2000). Analysis of Broadband
Piezoelectric Transducers by Discreat Tiem Model, Egypt.
J. Sol., 23, 287-295.
[13]. M. Hirsekorn, P.P. Delsanto, N.K. Batra and P. Matic,
(2004). Modellling and simulation of acoustic wave
propagation in locally resonant sonic materials.,
Ultrasonics, 42, 231-235.
[14]. Millman J. and Halkias C, (1972). Integrated
Electronics, McHill Ltd. Tokyo, p. 560.
[15]. Muhammad H. Rashid, (2002). SPICE for circuits and
electronics using PSPICE, second ed, Printice Hall of India
Pvt, Ltd., New Delhi.
[16]. R. Krimholtz, D.A. Leedom and G.L. Matthei, (1970).
New equivalent circuits for elementary piezoelectric
transducers, Electron. Lett., 6, 398-399.
[17]. S.A. Morris and C.G. Hutchens, (1986).
Implementation of Mason's model on circuit analysis
programs, IEEE Trans. Ultrason., Ferroelect., Freq. Contr.,
33, 295-298.
[18]. Y.B. Gandole, S.P. Yawale and S.S. Yawale, (2005).
Simplified Instrumentation for Ultrasonic Measurements,
Electronic Technical Acoustics, 35.
[19]. San Emeterio JL, Ramos A, sanz PT, Ruiz A, Azbaid A,
(2004). Modeling NDT piezoelectric ultrasonic transmitter.,
Ultrasonics,42, 277-281.
[20]. Sferruzza JP, Chavrier F, Birer A, Cathignol D. (2002).
Numerical simulation of the electro-acoustical response
of a transducer excited by a time-varying electrical
circuit, IEEE Trans., Ultrason., Ferroelectr., Freq. Control,
49(2), 177-83.
[21]. Song Hi Lee, (2004). Shear Viscosity of Benzene,
Toluene, and p-Xylene by Non-equilibrium Molecular
dynamics Simulations, Bull. Korean Chem. Soc., 25(2),
321-324.
[22]. W.M. Leach, (1994). Controlled-source analogous
circuits and SPICE models for piezoelectric transducers,
IEEE Trans. Ultrason., Ferroelect., Freq. Contr., 41, 60-66.
[23]. W.P. Mason, (1942). Electromechanical Transducers
and Wave Filters, New York: Van Nostrand.
[24]. W. Schaaff, (1967). 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.
[25]. Weast, Robert C. ed. (1964). Handbook of Chemistry
and Physics, 45th ed., Chemical Rubber Co.,Cleveland
Ohio, p E-28.
[26]. Xiaoqi Bao, Yoseph bar-Cohen, Zensheu Chang,
benjamin P. Dolgin, Stewart Sherrit, Dharmendra S. Pal,
Shu Du, and Thomas peterson. (2003). Modeling and
Computer Simulation of Ultrasonic/Sonic driller/Corer
(USDC), IEEE Trans. Ultrasonics, Sonic. Freq., Control,50(9), 1147-1160.
[27]. Aouzale, N.; Chitnalah, A.; Jakjoud, H. (2009).
Experimental Validation of SPICE Modeling Diffraction
Effects in a Pulse–Echo Ultrasonic System, Circuits and
Systems II: Express Briefs, IEEE Transactions on, 56 (12). pp. 911 – 915.
[28]. Diana Engelke, Bernd Oehme, and Jens
Strackeljan, (2011). A Novel Drive Option for Piezoelectric
Ultrasonic transducers, Modelling and Simulation in
Engineering, pp 6.
