THE WAVE PROPAGATION IN A HOMOGENEOUS RANDOM MEDIUMTHE SOLUTION OF THE m-nth MOMENT EQUATION WITH DIFFERENT WAVE NUMBERS

Wang Zhensong

Volume 10 Issue 1

Jan. 1988

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Wang Zhensong. THE WAVE PROPAGATION IN A HOMOGENEOUS RANDOM MEDIUMTHE SOLUTION OF THE m-nth MOMENT EQUATION WITH DIFFERENT WAVE NUMBERS[J]. Journal of Electronics & Information Technology, 1988, 10(1): 72-79.

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Wang Zhensong. THE WAVE PROPAGATION IN A HOMOGENEOUS RANDOM MEDIUMTHE SOLUTION OF THE m-nth MOMENT EQUATION WITH DIFFERENT WAVE NUMBERS[J]. Journal of Electronics & Information Technology, 1988, 10(1): 72-79.

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THE WAVE PROPAGATION IN A HOMOGENEOUS RANDOM MEDIUMTHE SOLUTION OF THE m-nth MOMENT EQUATION WITH DIFFERENT WAVE NUMBERS

Wang Zhensong

Received Date: 1986-05-02
Rev Recd Date: 1987-07-24
Publish Date: 1988-01-19

Abstract

Abstract

In the study of the problems related to the wave propagation in random media, the solutions of the moment equations are often needed. The m-nth moment equation with different wave numbers is a differential equation. In the present paper, the author converts the parabolic differental equation to an integral equation by using the Green s functions. The solution of the moment equation is got by using the iteration method. The solution of the moment equation is also got by using the method of successive scattering. It is shown that the solution by two different mehtods are identical. The physical implication of the successive solution of the m-nth moment equation is explained. Some of the applications of the solutions of the mement equations are discussed briefly.

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References

R. Dashen, Journal of Mathematical Physics, 12(1979), 894-920.[2]王一平, 抛物方程路积分解的导出,电波学会1985年年会,西安,1985年8月.[3]L. C. Lee, Journal of Mathematical Physics, 15(1974), 1431-1435.[4]吴健,前向多重散射矩方程的解及其在电离层中电波传播的应用,中国电波传播研究所硕士论文,1985年12月.[5]陆金康,数学物理方法补充讲义,第3章,复旦大学物理系,1965年.[6]Akira Ishimaru, Wave Propagation and Scattering in Randon Media, Vol. 2, p. 264 and p. 428, Academic Press, New York, 1978.[7]B. J. Uscinsky, Proc. R. Soc. Lond. A380(1982), 137-162.[8]B. J. Uscinsky, C. Macaskil, T. E. Ewart, J. Acoust. Soc, Am., 74(1983), 1474-1483.

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