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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 11 — Nov. 1, 2001
  • pp: 2823–2832

Guiding mode expansion of a TE and TM transverse-mode integral equation for dielectric slab waveguides with an abrupt termination

Tso-Lun Wu and Hung-Wen Chang  »View Author Affiliations


JOSA A, Vol. 18, Issue 11, pp. 2823-2832 (2001)
http://dx.doi.org/10.1364/JOSAA.18.002823


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Abstract

We propose a rigorous transverse-mode integral equation formulation for analyzing TE and TM electromagnetic radiation fields on the facet of dielectric slab waveguides with an abrupt termination in free space. Both exact waveguide guiding modes and discretized radiation modes are included in the kernels of the integral equation. To reduce the size of the matrix that approximates the exact integral equation, we expand the unknown field at the junctions in terms of guiding modes of a selected waveguide with sufficiently large normalized frequency and core thickness. By direct matrix inversion, we obtain numerical solutions of the scattered fields at the junctions. Our method can be used to study the field distribution as well as the energy reflection and transmission coefficients of dielectric waveguides with multiple step discontinuities.

© 2001 Optical Society of America

OCIS Codes
(130.0130) Integrated optics : Integrated optics
(130.3120) Integrated optics : Integrated optics devices
(230.0040) Optical devices : Detectors
(230.7400) Optical devices : Waveguides, slab

History
Original Manuscript: December 29, 2000
Manuscript Accepted: March 22, 2001
Published: November 1, 2001

Citation
Tso-Lun Wu and Hung-Wen Chang, "Guiding mode expansion of a TE and TM transverse-mode integral equation for dielectric slab waveguides with an abrupt termination," J. Opt. Soc. Am. A 18, 2823-2832 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-11-2823


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