Abstract
A new method for solving diffraction problems is presented. It is based on the use of Gaussian diffraction theory. Comparison of the Gaussian beam expansion and Fourier series expansion reveals that the Gaussian expansion is a more general and more powerful technique. The new method combines the Gaussian beam superposition technique [Wen and Breazeale, J. Acoust. Soc. Am. 83, 1752–1756 (1988)] and the numerical (finite-element) solution to the parabolic equation [Huang, J. Acoust. Soc. Am. 84, 1405–1413 (1988)]. The new method is capable of solving for the sound field even in an inhomogeneous medium or in the presence of reflection, as shown by computer modeling. The source may be a Gaussian source or a distributed source. Calculated results are compared with experimental results in a laboratory water tank.
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