NDLI: A Numerically Stable Analysis Method for Complex Multilayer Waveguides Based on Modified Transfer-Matrix Equations

Content Provider	IEEE Xplore Digital Library
Author	Min-Suk Kwon
Copyright Year	1983
Abstract	This paper discusses a method of analyzing complex one-dimensional multilayer waveguides in a numerically stable way. When a multilayer waveguide contains a quite thick layer or a layer whose refractive index has a very large real or imaginary part, conventional analysis methods tend to fail to find out its modes. In order to solve such a problem, the discussed analysis method is based on modified transfer matrix equations. The method consists of three steps. At the first step, two types of modified transfer matrix equations are used to derive two types of characteristic equations. At the next step, the iteration method comprised of initial root-finding and root-tracking is used to find the roots of the characteristic equations. Since the two characteristic equations have different features, the initial root-finding is carried out with one of them, and the root-tracking with the other. Finally, the field profiles of waveguide modes are calculated by using the found roots and employing a stable routine based on the modified transfer matrix equations. A few presented examples show that the discussed method works well. In addition to the method, it is shown that one of the characteristic equations can be expressed as an explicit form rather than a conventional recursive matrix relation because of the simple form of one of the transfer matrix equations.
Sponsorship	IEEE Lasers and Electro-Optics Society Optical Society of America
Starting Page	4407
Ending Page	4414
Page Count	8
File Size	718459
File Format	PDF
ISSN	07338724
Volume Number	27
Issue Number	20
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-10-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonhomogeneous media Equations Optical waveguides Transmission line matrix methods Stability Inorganic materials Silicon Waveguide components Refractive index Failure analysis transfer-matrix equations (TMEs) Characteristic equations iteration method multi layer waveguides
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics

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