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A numerical study of rays in random media

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Abstract

Statistics of electromagnetic rays in a random medium are studied numerically by the Monte Carlo method. Two dimensional random surfaces with prescribed correlation functions are used to simulate the random media. Rays are then traced in these sample media. Statistics of the ray properties such as the ray positions and directions are computed. Histograms showing the distributions of the ray positions and directions at different points along the ray path as well as at given points in space are given. The numerical experiment is repeated for different cases corresponding to weakly and strongly random media with isotropic and anisotropic irregularities. Results are compared with those derived from theoretical investigations whenever possible.

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Abbreviations

D :

ray diffusion coefficient

l 0 :

correlation length for isotropic random surface

l x , l y :

correlation length in x, y direction

n :

refractive index

R n :

correlation function of refractive index

s :

ray pathlength

δn :

random fluctuation in refractive index

ξ 1, ξ 2, ξ 3, ξ 4 :

transformed variables

θ :

angle the ray makes with the x-axis

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Authors and Affiliations

  1. Ionosphere Radio Laboratory Dept. of Electrical Engineering, University of Illinois, 61801, Urbana, Ill., USA

    M. Y. Youakim, C. H. Liu & K. C. Yeh

Authors
  1. M. Y. Youakim
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  2. C. H. Liu
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  3. K. C. Yeh
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Youakim, M.Y., Liu, C.H. & Yeh, K.C. A numerical study of rays in random media. Appl. Sci. Res. 28, 223–238 (1973). https://doi.org/10.1007/BF00413069

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  • DOI: https://doi.org/10.1007/BF00413069

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