English

应用科学学报 ›› 1987, Vol. 5 ›› Issue (4): 329-336.

• 论文 • 上一篇    下一篇

LP模耦合波理论及其应用

黄卫平, 钱景仁   

  1. 中国科学技术大学
  • 收稿日期:1984-04-03 修回日期:1985-04-09 出版日期:1987-12-31 发布日期:1987-12-31

COUPLED-MODE THEORY FOR LP-MODE AND ITS APPLICATIONS

HUANG WEIPING, QIAN JINGREN   

  1. University of Science and Technology of China
  • Received:1984-04-03 Revised:1985-04-09 Online:1987-12-31 Published:1987-12-31

PDF

143

被引次数

2

摘要： 本文首先引入LP模(即线极化模)的一种定义,并讨论了LP的正交性问题.在此基础上较严格地推导出LP模的耦合波方程,发现耦合系数由两部分构成:由于LP模不满足参考光纤的麦克斯韦方程及边界条件而引起的剩余耦合和由于实际光纤偏离参考光纤所引起的固有耦合.利用矩阵变换将上述LP模耦合波方程化为理想模(即参考光纤的简正模)的耦合波方程,得到了LP模与理想模之间的关系式,由此可估算用LP模直接代替理想模处理实际光纤中的耦合问题带来的误差以及允许这种替代的条件.

Abstract: A new definition for LP modes is introduced. The orthogonality of the LP-modes in sense of power is discussed. Based on these, a set of coupled-LP-mode equations are derived. It is found that the coupling among the LP-modes consists of two parts:1. The residual coupling resulted from variation of dielectric across the cross-section and anisotropy of the reference fiber; 2. The intrinsic coupling due to the difference between the practical and the reference fibers. Then the coupled-LP-mode equations are transformed into the coupled-ideal-mode equations. With the transformations, it is easy to express the ideal modes (i. e. eigen modes of the reference fiber) in terms of LP modes or vice versa. Thus the errors arising from simply replacing the ideal modes by the corresponding LP modes are studied and the conditions in which the replacement is permissible are obtained.