Pseudospectral Modeling of Nano-Optics in Ag Sphere Arrays

  • Authors:

  • Bang-Yan Lin;Chun-Hao Teng;Hung-Chun Chang;Hui-Hsin Hsiao;Juen-Kai Wang;Yuh-Lin Wang

  • Affiliations:

  • Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan 10617;Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan 30010 and Center of Mathematical Modeling and Scientific Computing, National Chiao Tung University, Hsinchu, Taiw ...;Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan 10617 and Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan 10617 and Gra ...;Graduate Institute of Photonics and Optoelectronics, National Taiwan University, Taipei, Taiwan 10617;Institute of Atomic and Molecular Science, Academia Sinica, Taipei, Taiwan 10617 and Center for Condensed Matter Sciences, National Taiwan University, Taipei, Taiwan 10617;Institute of Atomic and Molecular Science, Academia Sinica, Taipei, Taiwan 10617 and Department of Physics, National Taiwan University, Taipei, Taiwan 10617

  • Venue:
  • Journal of Scientific Computing
  • Year:
  • 2010

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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.