随机边界波导中的波传播
Wave propagation in waveguides with random boundaries
摘要：
本文详细分析了波导中粗糙边界的长程累积散射效应。我们假设小的随机波动的边界，并获得一个定量的统计描述的波场。求解方法是基于将边界拉直的坐标变化。由此产生的问题是类似的从数学的角度来看，在随机波导与内部不均匀性的波传播。我们量化的散射在随机边界的净效应，并显示它是如何从内部不均匀性的散射不同。
英文摘要：
We give a detailed analysis of long range cumulative scattering effects from rough boundaries in waveguides. We assume small random fluctuations of the boundaries and obtain a quantitative statistical description of the wave field. The method of solution is based on coordinate changes that straighten the boundaries. The resulting problem is similar from the mathematical point of view to that of wave propagation in random waveguides with interior inhomogeneities. We quantify the net effect of scattering at the random boundaries and show how it differs from that of scattering by internal inhomogeneities.
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