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Wave Propagation in a Random Medium With Stratified
Author(s) -
Liu C. H.
Publication year - 1968
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds196836551
Subject(s) - amplitude , logarithm , fourier transform , mathematics , wave propagation , random field , mathematical analysis , phase (matter) , field (mathematics) , statistical physics , physics , optics , statistics , quantum mechanics , pure mathematics
We study the propagation of a wave in an arbitrarily stratified medium in the presence of small random irregularities. The technique of two‐dimensional Fourier‐Stieltjes spectral representation for the random field is used to formulate this problem. With high frequency wave propagation in mind, we applied the W.K.B. method to yield approximate expressions for structure (correlation) functions for the logarithmic amplitude and phase departure of the wave field. The results are compared with those derived for a random medium with homogeneous background. An example is given in which the effect on the amplitude and phase fluctuations due to the stratified background is explicitly computed.