A High-Accuracy Multidomain Legendre Pseudospectral Frequency-Domain Method With Penalty Scheme for Solving Scattering and Coupling Problems of Nano-Cylinders

A new multidomain pseudospectral frequency-domain (PSFD) method based on the Legendre polynomials with penalty scheme is developed for numerically modeling electromagnetic wave scattering problems. The primary aim of the proposed method is to more accurately analyzing scattering and coupling problem...

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Bibliographic Details
Published in:Journal of lightwave technology 2013-03, Vol.31 (5), p.768-778
Main Authors: WANG, Chih-Yu, CHUNG, Shih-Yung, TENG, Chun-Hao, WANG, Juen-Kai, CHEN, Chung-Ping, CHANG, Hung-Chun
Format: Article
Language:English
Subjects:
Accuracy
Applied classical electromagnetism
Dielectrics
Electromagnetic near fields
Electromagnetic wave propagation, radiowave propagation
electromagnetic wave scattering
Electromagnetism
electron and ion optics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematical model
Physics
plasmonics
Plasmons
Polynomials
pseudospectral frequency-domain (PSFD) method
Scattering
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Summary:A new multidomain pseudospectral frequency-domain (PSFD) method based on the Legendre polynomials with penalty scheme is developed for numerically modeling electromagnetic wave scattering problems. The primary aim of the proposed method is to more accurately analyzing scattering and coupling problems in plasmonics, in which optical waves interact with nanometer-sized metallic structures. Using light scattering by a silver circular cylinder as a first example, the formulated method is demonstrated to achieve numerical accuracy in near-field calculations on the order of 10 -9 with respect to a unity field strength of the incident wave with excellent exponentially convergent behavior in numerical accuracy. Then, scattering by a dielectric square cylinder and that by several coupled metallic structures involving circular cylinders, square cylinders, or dielectric coated cylinders are examined to provide high-accuracy coupled near-field results.
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2012.2233714