Linear time-invariant space-variant filters and the WKB approximation
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Computer simulated output electrical signals, based on derived mathematical models, were generated at each element in a receive planar array of complex weighted point sources. The output electrical signals depend on the frequency spectrum of the transmitted electrical signal, the far-field beam patterns of the transmit and receive planar arrays, and the time-invariant, space-variant, random transfer function of the ocean volume which was derived using the WKB approximation. The computer simulated output signals were processed by a three-dimensional FFT beamformer in order to study pulse propagation in a random medium with applications to underwater acoustic communication, target detection, and target localization. Preliminary results are reported in this paper.
The article of record as published may be found at https://doi.org/10.1109/ICASSP.1985.1168429