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Simulation of light scattering by two nano-sized circular cylinders using NS-FDTD method and interference analysis

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Abstract

Scattering problem by one cylinder whose radius is comparable to incident wavelength can be solved by Mie theorem. Due to complicated multiple scattering, scattering characteristics by two adjacent cylinders cannot be easily expounded. In this paper, high-accuracy non-standard finite-difference time domain (NS-FDTD) method is utilized to simulate electromagnetic field scattered by two nano-sized circular cylinders. Scattering intensities calculated by the NS-FDTD method demonstrate distinct polarization-dependence feature which can be explained by interference analyses including first-order and second-order scattering. The interference analyses indicate that the two-cylinder scattering problem in the transverse magnetic mode can be approximately solved by one-cylinder Mie scattering solution superposed with a first-order interference term, whereas both first-order and second-order interference should be considered into the superposition term in the transverse electric mode.

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Acknowledgements

We gratefully acknowledge the help of Prof. Shuichi Kinoshita from Osaka University, who has offered us valuable suggestions in the optical analyses. We also owe a special debt of gratitude to Prof. Dongsheng Cai and Prof. James B. Cole from University of Tsukuba, who gave me much advice on the NS-FDTD simulation and parallel computing.

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  1. School of Information Science and Engineering, Changzhou University, Changzhou, China

    Dong Zhu, Chengtao Feng, Juan Huan & Kaibin Chu

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  1. Dong Zhu
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  2. Chengtao Feng
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  3. Juan Huan
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  4. Kaibin Chu
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Correspondence to Dong Zhu.

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Zhu, D., Feng, C., Huan, J. et al. Simulation of light scattering by two nano-sized circular cylinders using NS-FDTD method and interference analysis. Opt Rev 27, 321–331 (2020). https://doi.org/10.1007/s10043-020-00598-5

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