Fitting-based determination of an effective medium of a metallic periodic structure and application to photonic crystals

Seyoung Moon, Donghyun Kim

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19 Citations (Scopus)

Abstract

Effective permittivities of a metallic periodic structure for which the second-order effective-medium theory does not yield correct results were obtained by numerically fitting to rigorous-coupled-wave analysis (RCWA). The calculated effective medium showed good agreement with RCWA and minimal deviation in the long-wavelength limit with variation in angle of incidence, grating depth, superstrate, and fill factor. In terms of the standard deviation, the effective medium was least affected by the change in grating depths. The calculated effective permittivities were applied to a three-dimensional metallic photonic-crystal structure and produced a photonic bandgap that is consistent with published experimental data.

Original languageEnglish
Pages (from-to)199-207
Number of pages9
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume23
Issue number1
DOIs
Publication statusPublished - 2006 Jan 1

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Periodic structures
Photonic crystals
Permittivity
photonics
gratings
Photonics
permittivity
crystals
Energy gap
Crystal structure
Wavelength
standard deviation
incidence
deviation
crystal structure
wavelengths

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

Cite this

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AB - Effective permittivities of a metallic periodic structure for which the second-order effective-medium theory does not yield correct results were obtained by numerically fitting to rigorous-coupled-wave analysis (RCWA). The calculated effective medium showed good agreement with RCWA and minimal deviation in the long-wavelength limit with variation in angle of incidence, grating depth, superstrate, and fill factor. In terms of the standard deviation, the effective medium was least affected by the change in grating depths. The calculated effective permittivities were applied to a three-dimensional metallic photonic-crystal structure and produced a photonic bandgap that is consistent with published experimental data.

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