Differential-Transfer-Matrix Based on Airy´s Functions in Analysis of Planar Optical Structures With Arbitrary Index Profiles

Author

Zareian, N. ; Sarrafi, Peyman ; Mehrany, Khashayar ; Rashidian, Bizhan

Author_Institution

Sharif Univ. of Technol., Tehran

Volume

44

Issue

4

fYear

2008

fDate

4/1/2008 12:00:00 AM

Firstpage

324

Lastpage

330

Abstract

A novel analytical method for solution of planar optical structure with arbitrary refractive index profile is proposed. This new method is founded on differential-transfer-matrices, whose field solutions are based on Airy´s trial functions. In contrast to conventional Wentzel, Kramers, and Brillouin (WKB) solutions, which diverge around the turning points, this approach can be successfully used for exact calculation of various functions, including eigenvalues of optical waveguides with arbitrary index profiles, and complex reflection and transmission coefficients, even at the presence of turning points. The method is rigorous and can be applied for both major polarizations.

Keywords

eigenvalues and eigenfunctions; matrix algebra; optical planar waveguides; Airy functions; arbitrary index profiles; dfferential transfer matrix; eigenvalues; optical waveguides; planar optical structures; Airy functions; Wentzel, Kramers, and Brillouin (WKB) method; differential-transfer-matrix; graded-index profiles; planar waveguide;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2007.912469

Filename

4456804