Biorthonormal-basis method for the vector description of optical-fiber modes
Biorthonormal-basis method for the vector description of optical-fiber modes
复制标题
光纤模式矢量描述的生物正交基方法
DOI：
10.1109/50.669048
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
P. Andrés
中科院分区：
文献类型：
--
作者：
E. Silvestre;M. Andrés;P. Andrés
本文给出了描述光纤模式的真实的矢量模式方法的理论基础。为此，矢量波方程，确定电磁场，写在一对线性，非自伴运营商，其特征向量满足双正交关系。我们的方法的关键是获得一个矩阵表示的矢量波方程的基础上，是由一个辅助系统的模式。我们提出的技术可以应用于任何轮廓的光纤，甚至是那些具有复杂的折射率。一个例子来说明我们的方法。
This paper gives the theoretical basis for the development of real vector modal methods to describe optical-fiber modes. To this end, the vector wave equations, which determine the electromagnetic fields, are written in terms of a pair of linear, nonself-adjoint operators, whose eigenvectors satisfy biorthogonality relations. The key of our method is to obtain a matrix representation of the vector wave equations in a basis that is defined by the modes of an auxiliary system. Our proposed technique can be applied to fibers with any profile, even those with a complex refractive index. An example is discussed to illustrate our approach.