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Pseudospectral Modeling of Nano-Optics in Ag Sphere Arrays

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Abstract

We report a Legendre pseudospectral modeling of silver sphere arrays illuminated by light waves. A special feature of the present computation is that the dispersive nature of silver is described by a Drude-Lorentz model with model parameters obtained by fitting the frequency-domain complex-valued dielectric constants measured experimentally. Numerical validations are conducted based on solving both the near and far fields of the Mie scattering problem, and we observe good convergence on the numerical fields. The far-field patterns of the Ag sphere arrays are simulated. The results are compared to those obtained by the dipole-coupling-model method, and we observe very good agreement between these results. The near-field patterns are also computed, and localized enhanced electric fields in the inter-particle gap regions due to plasmonic coupling between Ag particles are visualized. As the gap between Ag particles is reduced the strength of the localized enhanced electric field is increased.

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Authors and Affiliations

  1. Graduate Institute of Communication Engineering, National Taiwan University, Taipei, 10617, Taiwan

    Bang-Yan Lin & Hung-Chun Chang

  2. Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 30010, Taiwan

    Chun-Hao Teng

  3. Center of Mathematical Modeling and Scientific Computing, National Chiao Tung University, Hsinchu, 30010, Taiwan

    Chun-Hao Teng

  4. Department of Electrical Engineering, National Taiwan University, Taipei, 10617, Taiwan

    Hung-Chun Chang

  5. Graduate Institute of Photonics and Optoelectronics, National Taiwan University, Taipei, 10617, Taiwan

    Hung-Chun Chang & Hui-Hsin Hsiao

  6. Institute of Atomic and Molecular Science, Academia Sinica, Taipei, 10617, Taiwan

    Juen-Kai Wang & Yuh-Lin Wang

  7. Center for Condensed Matter Sciences, National Taiwan University, Taipei, 10617, Taiwan

    Juen-Kai Wang

  8. Department of Physics, National Taiwan University, Taipei, 10617, Taiwan

    Yuh-Lin Wang

Authors
  1. Bang-Yan Lin
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  2. Chun-Hao Teng
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  3. Hung-Chun Chang
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  4. Hui-Hsin Hsiao
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  5. Juen-Kai Wang
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  6. Yuh-Lin Wang
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Corresponding author

Correspondence to Chun-Hao Teng.

Additional information

A paper in memory of Prof. David Gottlieb.

This work is supported by National Science Council of Taiwan, grant No. NSC 96-2120-M-001-002.

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Lin, BY., Teng, CH., Chang, HC. et al. Pseudospectral Modeling of Nano-Optics in Ag Sphere Arrays. J Sci Comput 45, 429–446 (2010). https://doi.org/10.1007/s10915-010-9376-z

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  • DOI: https://doi.org/10.1007/s10915-010-9376-z

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