Generalized Fourier transform diffraction theory for parabolically anisotropic media

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Abstract
A convenient diffraction formalism is presented for a planar ultrasonic source of arbitrary shape radiating into a medium which is parabolically anisotropic (or isotropic). Under the Fresnel approximation, the field amplitude is shown to be a Fourier transform of the aperture source function for both the nearfield and farfield. For the two‐dimensional (surface‐wave) case, closed‐form field expressions were obtained for the following source shapes: rectangular, Gaussian, truncated cosine, and truncated Gaussian. Diffraction loss and phase advance curves for equal and unequal apertures show that the nearly ideal characteristics of a Gaussian source can be approximated well by truncated source shapes.

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