A Novel Algorithm for the Sound Field of Elliptically Shaped Transducers
DING De-Sheng1,3**, LÜ Hua2, SHEN Chang-Sheng1
1School of Electronic Science and Engineering, Southeast University, Nanjing 210096 2State Key Laboratory of Bioelectronics, School of Biological Science and Medical Engineering, Southeast University, Nanjing 210096 3Laboratory of Modern Acoustics (Ministry of Education), Nanjing University, Nanjing 210093
Abstract：An alternative extension to the Gaussian-beam expansion technique is presented for efficient computation of the Fresnel field integral for elliptically symmetric sources. With a known result that the circ function is approximately decomposed into a sum of Gaussian functions, the cosine function is similarly expanded by the Bessel–Fourier transform. Two expansions are together inserted into this integral, it is then expressible in terms of the simple algebraic functions. The numerical examples for the elliptical and uniform piston transducers are presented, in good agreement with the results given by other methods. The approach is applicable to treat the field radiation problem for a large and important group of piston sources in acoustics.
2014, Vol. 31 
