Abstract

An asymptotic study of the effective-index method for the analysis of rectangular-core dielectric waveguides is given. Two ways of applying the effective-index method, depending on how the effective index is calculated, are considered, and expressions for the errors in the calculation of the propagation constant are derived. These expressions show explicitly how the accuracy of the method varies with the normalized frequency, the mode orders, the dimensions of the waveguide, and the relative refractive indices of the core and the surrounding media. Many novel properties of the method are revealed by these expressions. For example, it can be shown that the effective-index method can underestimate the propagation constant for a strip waveguide.

© 1991 Optical Society of America

Dual effective-index method for the analysis of rectangular dielectric waveguides

K. S. Chiang
Appl. Opt. 25(13) 2169-2174 (1986)

Explanation of errors inherent in the effective-index method for analyzing rectangular-core waveguides

A. Kumar, D. F. Clark, and B. Culshaw
Opt. Lett. 13(12) 1129-1131 (1988)

Multilayered effective-index analysis of dielectric waveguides with complicated microstructures

Masashi Eguchi
J. Opt. Soc. Am. B 28(10) 2478-2485 (2011)

Antiresonant decoupling of parallel dielectric waveguides

Carlo G. Someda
Opt. Lett. 16(16) 1240-1242 (1991)

Performance analysis of three dimensional high index contrast dielectric waveguides

Ao Jiang, Shouyan Shi, Ge Jin, and Dennis W. Prather
Opt. Express 12(4) 633-643 (2004)