The Born and Rytov methods are applied to a study of the propagation and the scattering of waves in a one-dimensional (1-D) half-space medium with a permittivity either depending on the wave intensity or having a stochastic property. Both Born and Rytov series in the 1-D nonlinear half-space case are compared with their counterparts in a 1-D homogeneous dielectric half-space case. The multiple scattering in a 1-D random half-space, consisting of a host material and randomly distributed scatterers, is treated with a random medium model. We have derived the autocorrelation function for the case in which 1-D scatterers are randomly distributed in a host medium. We show that the autocorrelation function has an exponential-decay shape and depends on the fractional length, the average physical length, and the scattering strength of these scatterers. Under the bilocal approximation the effective permittivity for this 1-D random half-space medium is shown to have an oscillatory dependence on range. When it is applied to estimate the ensemble-averaged scattered fields in the 1-D random half-space case, the Rytov method is not as useful as the Born method because the Rytov method suffers a more serious divergence problem than the Born method.
© 1993 Optical Society of AmericaFull Article | PDF Article
More Like This
F. C. Lin and M. A. Fiddy
J. Opt. Soc. Am. A 9(7) 1102-1110 (1992)
Salvatore Caorsi, Andrea Massa, and Matteo Pastorino
J. Opt. Soc. Am. A 13(3) 509-516 (1996)
J. Opt. Soc. Am. A 25(10) 2499-2508 (2008)