粗糙界面的波导散射和非波导散射之间的关系

RELATION BETWEEN WAVEGUIDE AND NON-WAVEGUIDE SCATTERING FROM A ROUGH INTERFACE

摘要: 本文给出在小瑞利参数情况下波导中由粗糙交界面所产生的散射波强度 $I_{R}=\sum\limits_{l, j} I_{l_{j}}^{s}$ (l,j=1,2,3,…),其中I_lj^s正比于1/4倍第l(或j)号简正波在粗糙交界面上的强度以及散射系数m_lj^s。m_lj^s与平面波散射系数m_s存在下列关系 $m_{s}: m_{l j}^{s}=(2 \pi)^{2} m_{s} /\left|V\left(\theta_{l}\right) V\left(\theta_{j}\right)\right|$ :其中V(θ_l)和V(θ_lj)

Abstract: The scattering problem of a rough interface in a waveguide under small Rayleigh's parameter approximation is discussed in this paper. The derived scattering intensity can be written in the form $I_{R}=\sum\limits_{l, j} I_{l_{j}}^{s}$ (l,j=1,2,3,…). Where I_lj^s is propo- rtional to m_lj^s which is defined as the normal mode scattering coefficient for the rough interface. A relation has been found between m_lj^s and the plane wave scattering coefficient $m_{s}: m_{l j}^{s}=(2 \pi)^{2} m_{s} /\left|V\left(\theta_{l}\right) V\left(\theta_{j}\right)\right|$ in which V(θ_l) and V(θ_j) represent the reflection coefficients respectively for incident angles θ_l and θ_j.