Analysis of Abrupt Discontinuities in Weakly Guiding Waveguides by a Modified Beam Propagation Method

Masashi HOTTA  Masahiro GESHIRO  Shinnosuke SAWA  

IEICE TRANSACTIONS on Communications   Vol.E76-B   No.12   pp.1552-1557
Publication Date: 1993/12/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Issue on 1992 Internatioal Symposium on Antennas and Propagation)
beam propagation method,  reflection,  waveguide discontinuity,  overlap integral,  weakly guiding structure,  

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The beam propagation method (BPM) is a powerful and manageable method for the analysis of wave propagation along weakly guiding optical waveguides. However, the effects of reflected waves are not considered in the original BPM. In this paper, we propose two simple modifications of the BPM to make it relevant in characterizing abrupt discontinuities in weakly guiding waveguides at which a significant amount of reflection is expected to be observed. Validity of the present modifications is confirmed by the numerical results for abrupt discontinuities in step-index slab waveguides and butt-joints between different slab waveguides.