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Appl. Sci. 2018, 8(7), 1133; https://doi.org/10.3390/app8071133

Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation Optics

1
Department of Physics, National Cheng Kung University, 1 University Road, Tainan 70101, Taiwan
2
Institute of Space, Astrophysical and Plasma Sciences, National Cheng Kung University, 1 University Road, Tainan 70101, Taiwan
3
Department of Photonics, National Cheng Kung University, 1 University Road, Tainan 70101, Taiwan
*
Author to whom correspondence should be addressed.
Received: 19 June 2018 / Revised: 6 July 2018 / Accepted: 9 July 2018 / Published: 12 July 2018
(This article belongs to the Section Optics and Lasers)
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Abstract

With sub-wavelength scaled structures in a large system, the conventional finite-difference time-domain method can consume much computational resources since it includes both the spatial and temporal dimension in the scheme. In order to reduce the computational cost, we combine the novel methodology “transformation optics” in the simulation to map a physical coordinate with designated non-uniform grids to a uniform numerical coordinate. For a demonstration, the transmission spectrum through a sub-wavelength metallic aperture with one-dimensional and two-dimensional coordinate transformation is simulated, and compared with uniform-grid cases. We show that the proposed method is accurate, and the computational cost can be reduced remarkably to at most 5.31%, in comparison with the simulation of the finest uniform grids demonstrated. We are confident that it should be helpful to the simulation study in sub-wavelength optics due to its verified accuracy and efficiency. View Full-Text
Keywords: sub-wavelength optics; computational electromagnetic methods; finite-difference time-domain simulation with non-uniform grids; transformation optics sub-wavelength optics; computational electromagnetic methods; finite-difference time-domain simulation with non-uniform grids; transformation optics
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Hong, J.-S.; Cheng, W.-M.; Yang, M.-C.; Shiu, R.-C.; Lan, Y.-C.; Chen, K.-R. Enhancing Efficiency of Electromagnetic Simulation in Time Domain with Transformation Optics. Appl. Sci. 2018, 8, 1133.

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