Title :
Calculating Dispersion Derivatives in Fiber-Optic Design
Author_Institution :
Dept. of Comput. Sci., William Paterson Univ., Wayne, NJ
fDate :
3/1/2007 12:00:00 AM
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;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2006.889648
