A Multidomain Pseudospectral Mode Solver for Optical Waveguide Analysis

We propose a pseudospectral mode solver for optical waveguide mode analysis formulated by the frequency-domain Maxwell equations. Special attention is paid upon identifying the required boundary operator for the formulation and the relationships between the derived operator and the physical boundary...

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Bibliographic Details
Published in:Journal of lightwave technology 2012-07, Vol.30 (13), p.2077-2087
Main Authors: CHIANG, Shun-Fan, LIN, Bang-Yan, CHANG, Hung-Chun, TENG, Chun-Hao, WANG, Chih-Yu, CHUNG, Shih-Yung
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Applied sciences
Boundary conditions
Circuit properties
Convergence
Educational institutions
Electric, optical and optoelectronic circuits
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Electronics
Equations
Exact sciences and technology
Frequency-domain Maxwell's equations
Fundamental areas of phenomenology (including applications)
Indexes
Integrated optics. Optical fibers and wave guides
Optical and optoelectronic circuits
Optical waveguides
penalty boundary conditions
Physics
pseudospectral methods
Vectors
waveguide analysis
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Summary:We propose a pseudospectral mode solver for optical waveguide mode analysis formulated by the frequency-domain Maxwell equations. Special attention is paid upon identifying the required boundary operator for the formulation and the relationships between the derived operator and the physical boundary conditions. These theoretical results are adopted into a Legendre pseudospectral multidomain computational framework to compute the propagation characteristics of optical waveguides. Numerical experiments are conducted, and the expected spectral convergence of the scheme is observed for smooth problems and for problems having field jumps at material interfaces. For dielectric waveguides with sharp corners, the spectral convergence is lost due to the singular nature of fields at the corner. Nevertheless, compared with other methods, the present formulation remains as an efficient approach to obtain waveguide modes.
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2012.2191937