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

Journal of Lightwave Technology, Vol. 31, Issue 5, pp. 768-778 (2013)

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### Abstract

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.

© 2012 IEEE

**Citation**

Chih-Yu Wang, Shih-Yung Chung, Chun-Hao Teng, Juen-Kai Wang, Chung-Ping Chen, and Hung-chun Chang, "A High-Accuracy Multidomain Legendre Pseudospectral Frequency-Domain Method With
Penalty Scheme for Solving Scattering and Coupling Problems of Nano-Cylinders," J. Lightwave Technol. **31**, 768-778 (2013)

http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-31-5-768

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