Double weighted Fourier transform for the wave field in inhomogeneous medium: Some results and prospects

This paper discusses results of the application of double weighted Fourier transform (DWFT) to problems of communication and diagnostics of inhomogeneous media. An agreement is noted between DWFT results and results of geometrical optics, Rytov, and phase screen approximations. A relation has been found between DWFT and path integrals. Numerical simulation has been used to demonstrate the possibility of spatial signal processing based on inverse DWFT with resolution exceeding the Fresnel one during strong field fluctuations. The numerical simulation has also shown the potential applicability of this processing for reducing wave intensity fluctuations in inhomogeneous random media.