A refined WKB method for symmetric planar waveguides with truncated-index profiles and graded-index profiles

Author

Wang, Jingyi ; Qiao, Li

Author_Institution

Dept. of Phys., Northern Jiaotong Univ., Beijing, China

Volume

27

Issue

4

fYear

1991

fDate

4/1/1991 12:00:00 AM

Firstpage

878

Lastpage

883

Abstract

An accurate method is proposed, based on a modified version of the WKB method in quantum mechanics, for evaluating the propagation constants and field distribution of symmetric planar waveguides with a truncated-index and graded-index profile. Simple formulas are given for calculating the dispersion characteristics including those for the truncated parabolic and exponential profile, and results are much more accurate than those of the ordinary WKB method, especially in the near cutoff regions. This method also can be extended to other more complicated cases

Keywords

WKB calculations; gradient index optics; integrated optics; optical waveguide theory; accurate method; dispersion characteristics; exponential profile; field distribution; graded-index profiles; integrated optics; near cutoff regions; propagation constants; refined WKB method; symmetric planar waveguides; truncated-index profiles; Approximation methods; Eigenvalues and eigenfunctions; Energy states; Numerical analysis; Partial differential equations; Planar waveguides; Propagation constant; Quantum mechanics; Slabs; Turning;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.83318

Filename

83318