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Proceedings Paper

Analysis of step- and graded-index optical waveguides by solving Helmholtz eigenproblem through Fourier analysis and iterative Lanczos reduction
Author(s): Michele A. Forastiere; Giancarlo C. Righini
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Paper Abstract

A method of solution of the scalar Helmholtz eigenproblem for dielectric waveguides is presented. The fundamental idea is the expansion of the electric field on a discrete basis of sine functions which go to zero at the calculation window boundaries, for both transverse directions. A matrix eigen problem is correspondingly built up from the Helmholtz polynomial functions defined over rectangular domains. The solution algorithm takes advantage of the well-known Lanczos reduction technique, allowing for the straightforward evaluation of discrete eigen values within any desired precision order. The Lanczos algorithm, here combined with the Fourier-analysis technique, allows to examine very large-sized cases without the problem of storage space lacing. In this work, a few examples of propagation analysis are shown referring to both step-index and graded-index integrated optical structures, and the calculation results are compared with those obtained by commercial BPM algorithms and the effective index method.

Paper Details

Date Published: 12 January 1998
PDF: 11 pages
Proc. SPIE 3278, Integrated Optic Devices II, (12 January 1998); doi: 10.1117/12.298216
Show Author Affiliations
Michele A. Forastiere, Istituto di Ricerca sulle Onde Elettromagnetiche/CNR (Italy)
Giancarlo C. Righini, Istituto di Ricerca sulle Onde Elettromagnetiche/CNR (Italy)


Published in SPIE Proceedings Vol. 3278:
Integrated Optic Devices II
Giancarlo C. Righini; S. Iraj Najafi; Bahram Jalali, Editor(s)

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