Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
9.6 References
Siegman AE (1986) Lasers. University Science Books, Mill Valley, CA
Cerveny V (2001) Seismic ray theory. Cambridge University Press, Cambridge, United Kingdom
Jeffreys A (1995) Handbook of mathematical formulas and integrals. Academic Press, San Diego, CA, p 48
Heyman E, Felsen LB (2001) Gaussian beam and pulsed-beam dynamics: complex-source and complex-spectrum formulations within and beyond paraxial asymptotics. J. Opt. Soc. Am. 18: 1588-1611
Korn GA, Korn TM (1968) Mathematical handbook for scientists and engineers. McGraw-Hill Book Co., New York, NY
Cerveny V, Psencik I. (1983) Gaussian beams and paraxial ray approximation in three-dimensional inhomogeneous elastic media. Journal of Geophysics 53: 1-15
Goldsmith PF (1998) Quasioptical systems. IEEE Press, Piscataway, NJ
Wen JJ, Breazeale MA (1988) A diffraction beam field expressed as the superposition of Gaussian beams. J. Acoust. Soc. Am. 83: 1752-1756
Wen JJ, Breazeale MA (1990) Computer optimization of the Gaussian beam description of an ultrasonic field. In: Lee D, Cakmak A, Vichnevetsky R. (eds) Computational acoustics: scattering, Gaussian beams, and aeroacoustics, Vol. 2. Elsevier Science Publishers, Amsterdam, The Netherlands, pp 181-196
Huang D, Breazeale MA (1999) A Gaussian finite-element method for description of sound diffraction. J. Acoust. Soc. Am. 106: 1771-1781
Ding D, Zhang Y, Liu J (2003) Some extensions of the Gaussian beam expansion: radiation fields of rectangular and elliptical transducers. J. Acoust. Soc. Am. 113: 3043-3048
Sha K, Yang J, Gan WS (2003) A complex virtual source approach for calculating the diffraction beam field generated by a rectangular planar source. IEEE Trans. on Ultrasonics, Ferroelectrics, and Frequency Control 50: 890-896
Kim HJ, Schmerr LW, Sedov A (2006) Generation of the basis sets for multi-Gaussian ultrasonic beam models - an overview. J. Acoust. Soc. Am. 119: 1971-1978
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2007). Gaussian Beam Theory and Transducer Modeling. In: Ultrasonic Nondestructive Evaluation Systems. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-49063-2_9
Download citation
DOI: https://doi.org/10.1007/978-0-387-49063-2_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-49061-8
Online ISBN: 978-0-387-49063-2
eBook Packages: EngineeringEngineering (R0)