Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Guided-mode analysis by the Lanczos–Fourier expansion

Not Accessible

Your library or personal account may give you access

Abstract

The Lanczos–Fourier series expansion is employed to analyze the guided-mode field in an asymmetrical slab waveguide, the core of which has an anisotropic and inhomogeneous dielectric permittivity. A system of linear homogeneous equations is derived by the collocation technique with consideration of the wave equation and the appropriate boundary conditions at the interfaces between the core and cladding media. The propagation constants are found from a determinant equation that ensures the existence of a nontrivial solution of the system. Numerical results are presented for several cases of dielectric permittivity, including the constant, parabolic, linear, and anisotropic cases. This approach is found to converge reasonably fast, and Richardson’s extrapolation technique is applied to accelerate the convergence further. The approach can be easily generalized from the scalar to the vector equation, and, as an example, we consider the guided modes of a circular fiber.

© 2002 Optical Society of America

Full Article  |  PDF Article
More Like This
Calculation of radiation modes by the Lanczos–Fourier expansion

Nikolaos F. Dasyras, Ioannis G. Tigelis, Andreas D. Tsigopoulos, and Alexander B. Manenkov
J. Opt. Soc. Am. A 21(9) 1740-1749 (2004)

Efficient Lanczos–Fourier expansion-based transmission line formulation for full-wave modal analysis of optical waveguides

Amir Habibzadeh-Sharif and Mohammad Soleimani
J. Opt. Soc. Am. B 29(6) 1296-1304 (2012)

Analysis for the convergence problem of the plane-wave expansion method for photonic crystals

Linfang Shen and Sailing He
J. Opt. Soc. Am. A 19(5) 1021-1024 (2002)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (21)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved