On Coupling Coefficients of Coupled-wave Equations

Qian Jing-ren

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On Coupling Coefficients of Coupled-wave Equations

更新时间：2025-12-08

- On Coupling Coefficients of Coupled-wave Equations
- Acta Electronica Sinica Issue 2, Pages: 46-54(1982)
- 作者机构：
  
  中国科技大学
- 作者简介：
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- Published：1982
- 稿件说明：
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[1]钱景仁.论耦合波方程中的耦合系数[J].电子学报,1982(02):46-54.

Qian Jing-ren. On Coupling Coefficients of Coupled-wave Equations[J]. Acta Electronica Sinica, 1982, (2): 46-54.
[1]钱景仁.论耦合波方程中的耦合系数[J].电子学报,1982(02):46-54. DOI：

Qian Jing-ren. On Coupling Coefficients of Coupled-wave Equations[J]. Acta Electronica Sinica, 1982, (2): 46-54. DOI：

摘要

本文首先利用电磁场的互易性

推得耦合波方程组中各耦合系数的两两关系

按这一关系

得到了该方程组最常见的两种形式。文中严格推导了Marcuse和黄宏嘉教授在近似条件下推得的联系理想模耦合系数和本地模耦合系数的“等效公式”

并举例说明。

Abstract

By means of the reciprocity of electromagntic wave

relations between relevant pairs of coupling coefficients in a set of coupled-wave equations are derived. From these relations two forms of the coupled-wave equations most frequently appearing in the literatures are obtained. With the aid of perturbation approximation

the equivalence formula which relates coupling coefficients for ideal modes with coupling coefficients for local modes was obtained by Marcuse and Huang[1

2]. Now the formula is derived in the strict sense. Examples are given for using the formula.

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