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Phase space and functional (path) integral methods, so successfully applied today in quantum and statistical physics, are applied to both direct and inverse wave propagation problems in extended inhomogeneous environments. The modeling is provided by the n-dimensional scalar Helmholtz equation. Both solution representations and numerical algorithms are presented.
Louis Fishman
"Quantum and statistical mechanical methods in classical direct and inverse scattering", Proc. SPIE 1351, Digital Image Synthesis and Inverse Optics, (1 November 1990); https://doi.org/10.1117/12.23628
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Louis Fishman, "Quantum and statistical mechanical methods in classical direct and inverse scattering," Proc. SPIE 1351, Digital Image Synthesis and Inverse Optics, (1 November 1990); https://doi.org/10.1117/12.23628