Computing Eigen value equation and modal dispersion characteristics of an elliptical Bragg waveguide

被引：0
|
作者：
Prajapati, Y. [1 ]
Singh, Vivek [2 ]
Saini, J. P. [3 ]
机构：
[1] Motilal Nehru Natl Inst Technol, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India
[2] Banaras Hindu Univ, Fac Sci, Dept Phys, Varanasi 221005, Uttar Pradesh, India
[3] BIET, Dept Elect & Commun Engn, Jhansi, Uttar Pradesh, India
来源：
OPTIK | 2014年 / 125卷 / 19期
关键词：
Eigen values equation; Elliptical waveguides; Dispersion characteristics; Mathieu function; Birefringence; SMALL NUMBER; FIBERS; WAVEGUIDES; BIREFRINGENCE; CLADDINGS; CURVES; DESIGN; CORE;
D O I：
10.1016/j.ijleo.2014.06.075
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Using the method of separation of variables in the elliptical coordinate system, a recursive formula for the electromagnetic fields in a new type of Bragg waveguide having elliptical core cross section with multilayered cladding is derived. The eigen equation is written in the form of Mathieu and the modified Mathieu functions and a dispersion relation is obtained for various modes supported by the proposed Bragg waveguide. The cutoff frequencies for several lower order even-odd modes have been calculated and their propagation characteristics are plotted. The results show that the dispersion curves are discontinuous and modes can exist only in particular wavelength bands. The effects of elliptical eccentricity on the mode cutoff values and mode transmission are addressed. Finally, the modal birefringence in the said waveguide is also estimated. (C) 2014 Elsevier GmbH. All rights reserved.
引用
收藏
页码：5461 / 5466
页数：6
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