Commun. Comput. Phys., 1 (2006), pp. 1056-1075.


Some Techniques for Computing Wave Propagation in Optical Waveguides

Ya Yan Lu 1*

1 Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong.

Received 31 January 2006; Accepted (in revised version) 8 May 2006

Abstract

Optical wave-guiding structures that are non-uniform in the propagation direction are fundamental building blocks of integrated optical circuits. Numerical simulation of lightwaves propagating in these structures is an essential tool to engineers designing photonic components. In this paper, we review recent developments in the most widely used simulation methods for frequency domain propagation problems.


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Key words: Optical waveguides; operator marching method; mode matching method; beam propagation method; bidirectional propagation methods; rational approximations.


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Correspondence to: Ya Yan Lu , Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong. Email: mayylu@cityu.edu.hk
† This work was partially supported by a grant from the Research Grants Council of Hong Kong Special Administrative Region, China (Project No. CityU 101804).
 

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