Derivative free method for computing modes of multilayer planar waveguide

A technique to solve generalized dispersion equation of multilayer planar waveguide has been demonstrated to obtain all the expected guided modes. The solution is based on the derivative free method for computing the zeros of an analytical function in complex plane. The derivative free method extrac...

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Bibliographic Details
Published in:Optical and quantum electronics Vol. 46; no. 3; pp. 423 - 438
Main Authors: Semwal, Girish, Rastogi, Vipul
Format: Journal Article
Language:English
Published: Boston Springer US 01.03.2014
Subjects:
Characterization and Evaluation of Materials
Computer Communication Networks
Electrical Engineering
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Derivative free method
Planar waveguide
Modes of waveguide
Argument principle method
ISSN:0306-8919, 1572-817X
Online Access:Get full text
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Summary:A technique to solve generalized dispersion equation of multilayer planar waveguide has been demonstrated to obtain all the expected guided modes. The solution is based on the derivative free method for computing the zeros of an analytical function in complex plane. The derivative free method extracts the roots which are very close to actual zeros of the function. Roots are further refined using the robust iteration method to achieve the desired accuracy. Application of the proposed method has been verified by solving the modes of a variety of structures including lossless structure, leaky structure, quantum well waveguide, active waveguide, ARROW waveguide and metal clad waveguide. The method is efficient and computes all modes of planar waveguide with high accuracy.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-013-9838-2