Index profiles: TE mode solutions

Author

Wang, Likarn ; Huang, N.

Author_Institution

Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan

Volume

35

Issue

9

fYear

1999

fDate

9/1/1999 12:00:00 AM

Firstpage

1351

Lastpage

1353

Abstract

This letter presents a novel method to study one-dimensional waveguide problems in which the profiles of the refractive index are arbitrary. In the proposed method, distributions of both the refractive index and electric field are expanded into finite-term Fourier cosine series. A particular matrix is then formed by the Fourier spectral amplitudes that correspond to the refractive-index distribution. The eigenvalues and the eigenvectors of such a matrix correspond to the mode indices and the electric field distribution, respectively, in the waveguide considered herein. TE mode solutions are obtained for a step-index structure and an inhomogeneous structure. It is found that quite accurate results can be obtained by this proposed method

Keywords

eigenvalues and eigenfunctions; matrix algebra; optical waveguide theory; refractive index; 1D waveguide problems; TE mode solutions; eigenvalues; eigenvectors; finite-term Fourier cosine series; index profiles; inhomogeneous structure; refractive-index distribution; step-index structure; Eigenvalues and eigenfunctions; Nonhomogeneous media; Nonuniform electric fields; Optical waveguides; Planar waveguides; Refractive index; Slabs; Symmetric matrices; Tellurium; Transmission line matrix methods;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.784597

Filename

784597