Simple and fast numerical analysis of multilayer waveguide modes

We propose a new numerical method for exactly determining modes of a general multilayer waveguide. The proposed method has two features: simple implementation and fast calculation. Its implementation is simple since it is based on a complex root-finding algorithm reported recently. This algorithm is...

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Vydané v:	Optics communications Ročník 233; číslo 1; s. 119 - 126
Hlavní autori:	Kwon, Min-Suk, Shin, Sang-Yung
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 15.03.2004 Elsevier Science
Predmet:	Applied sciences Circuit properties Complex root-finding algorithm Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Integrated optics. Optical fibers and wave guides Multilayer waveguide Optical and optoelectronic circuits Propagation Waveguides, couplers, and arrays 02.60.Cb Complex root-finding algorithm 42.82.−m Propagation Multilayer waveguide Integrated optics Thin film device Theoretical study Optical modes Multiple layer Eigenvalue Optical waveguide Numerical method Algorithm
ISSN:	0030-4018, 1873-0310
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Abstract	We propose a new numerical method for exactly determining modes of a general multilayer waveguide. The proposed method has two features: simple implementation and fast calculation. Its implementation is simple since it is based on a complex root-finding algorithm reported recently. This algorithm is very intuitive and consists of the process of isolating each zero and that of determining the isolated zeros. To reduce calculation time, we propose and use an efficient scheme for evaluations of the eigenvalue function and its derivative. Using this scheme, we can decrease the number of arithmetic operations necessary for the analysis compared to the existing scheme based on the transfer matrix method. The proposed method is applied to analyze lossless and lossy waveguides and an anti-resonant reflective optical waveguide. The analysis results are compared to those in literatures and the comparisons show good agreement. In addition, it is shown that the proposed method is useful in analyzing the effects of a metal layer or a high index substrate on the integrated optical devices.
AbstractList	We propose a new numerical method for exactly determining modes of a general multilayer waveguide. The proposed method has two features: simple implementation and fast calculation. Its implementation is simple since it is based on a complex root-finding algorithm reported recently. This algorithm is very intuitive and consists of the process of isolating each zero and that of determining the isolated zeros. To reduce calculation time, we propose and use an efficient scheme for evaluations of the eigenvalue function and its derivative. Using this scheme, we can decrease the number of arithmetic operations necessary for the analysis compared to the existing scheme based on the transfer matrix method. The proposed method is applied to analyze lossless and lossy waveguides and an anti-resonant reflective optical waveguide. The analysis results are compared to those in literatures and the comparisons show good agreement. In addition, it is shown that the proposed method is useful in analyzing the effects of a metal layer or a high index substrate on the integrated optical devices.
Author	Shin, Sang-Yung Kwon, Min-Suk
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Cites_doi	10.1109/3.166459 10.1364/IPR.2003.ITuB4 10.1109/50.251172 10.1109/68.661420 10.1109/50.166774 10.1063/1.1654906 10.1109/3.53377 10.1364/OE.7.000260 10.1016/S0377-0427(01)00371-5 10.1109/50.618322
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Keywords	02.60.Cb Complex root-finding algorithm 42.82.−m Propagation Multilayer waveguide Integrated optics Thin film device Theoretical study Optical modes Multiple layer Eigenvalue Optical waveguide Numerical method Algorithm
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Snippet	We propose a new numerical method for exactly determining modes of a general multilayer waveguide. The proposed method has two features: simple implementation...
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SubjectTerms	Applied sciences Circuit properties Complex root-finding algorithm Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Integrated optics. Optical fibers and wave guides Multilayer waveguide Optical and optoelectronic circuits Propagation Waveguides, couplers, and arrays
Title	Simple and fast numerical analysis of multilayer waveguide modes
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