By Topic

Application of the Fourier-grid method to guided-wave problems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
M. Munowitz ; Amoco Technol. Co., Naperville, IL, USA ; D. J. Vezzetti

A method recently developed for solving the Schrodinger equation is applied to dielectric waveguides. The technique, which is extremely simple to implement, involves representing the differential operator in the scalar Helmholtz equation on a grid of discrete points in coordinate space, and then diagonalizing the resulting matrix to reveal the propagation constants and field patterns of the guided modes. The square of the transverse index profile is specified directly as a diagonal matrix in coordinate space, while the matrix for the transverse Laplacian is obtained through the Fourier relationship between its diagonal form in momentum space and the equivalent representation in coordinate space. The accuracy and computational performance of this procedure is assessed for one- and two-dimensional transverse profiles. Modal refractive indices and fields computed by the grid method are found to agree well with those derived by means of other techniques

Published in:

Journal of Lightwave Technology  (Volume:8 ,  Issue: 6 )