Calculating Dispersion Derivatives in Fiber-Optic Design

Author

Kaufman, Linda

Author_Institution

Dept. of Comput. Sci., William Paterson Univ., Wayne, NJ

Volume

25

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

811

Lastpage

819

Abstract

Maxwell´s equation for modeling the guided waves in a circularly symmetric fiber leads to a family of partial differential-equation-eigenvalue systems. In fiber design, one would like to determine the index profile, which is involved in Maxwell´s equation so that certain optical properties, which sometimes involve derivatives of the eigenvalues, are satisfied. In this paper, we will discuss how to determine derivatives of the eigenvalue problem and the gradients of the dispersion with respect to design parameters in the model

Keywords

Maxwell equations; eigenvalues and eigenfunctions; optical design techniques; optical fibre dispersion; Maxwell equation; differential-equation-eigenvalue systems; fiber optic design; Computer science; Differential equations; Eigenvalues and eigenfunctions; Maxwell equations; Optical design; Optical fiber dispersion; Optical refraction; Packaging; Partial differential equations; Refractive index; Design automation; differentiation; eigenvalues and eigenfunctions; inverse problems; optical fiber dispersion; parameter estimation;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2006.889648

Filename

4147716