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讨论了二维各向同性均匀随机介质中平面波的传播及其局域性.假设二维随机介质具有各向同性窄带高斯谱,运用随机泛函理论给出了二维介质中随机平面驻波的解析近似解及其幅度和相位的定量统计特性.计算结果证实了波在随机介质中传播时的局域性.将二维介质中的平面波和柱面波的传播特性作了对比.数值结果模拟了二维随机介质场及平面驻波,并验证了本文结果的正确性.
The propagation and localization of plane waves in a two-dimensional isotropic homogeneous random medium are discussed. Assuming that the two-dimensional random medium has an isotropic narrow-band Gaussian spectrum, the stochastic functional theory The analytical solution of the approximate solution and its quantitative and statistical properties of amplitude and phase are given. The calculated results confirm the localization of the wave propagation in random media. The propagation characteristics of plane wave and cylindrical wave in two-dimensional media are compared. Numerical simulation The two-dimensional random medium field and the plane standing wave are verified, and the correctness of the results in this paper is verified.