Investigation of an effective medium theory for metallic periodic structures

A fitting-based approach

Seyoung Moon, Donghyun Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

While the effective medium theory (EMT) has been useful to explain optical characteristics of a dielectric periodic structure analytically, it has failed to describe metallic structures correctly. In this paper, a fitting-based approach is introduced to applying an effective medium theory to structures that include metallic material. The effective indices of a metallic medium were first obtained by numerically fitting to reflectance characteristics calculated with rigorous coupled wave analysis (RCWA). Searching for an effective medium has been performed through binary searches rather than a time-consuming simulated-annealing algorithm. The calculated effective medium showed results that are in good agreement with RCWA. The deviation was minimal in the long-wavelength limit when angles of incidence, grating depths, or refractive indices of a superstrate are varied. In particular, TE polarization showed more robust features against the variations while TM polarization was more sensitive to the modeling parameters. In terms of the standard deviation, the calculated effective medium was the least affected by the change of grating depths. The applicability of the fitting-based approach was investigated by applying it to a three-dimensional metallic photonic crystal. Simulation results based on the fitting-based EMT perfectly reproduced broad photonic bandgap as observed in published experimental data. Also, the fitting-based approach provided valid results in the wider wavelength range than a traditional EMT.

Original languageEnglish
Title of host publicationPhotonic Crystal Materials and Devices IV
Volume6128
DOIs
Publication statusPublished - 2006 Jul 10
EventPhotonic Crystal Materials and Devices IV - San Jose, CA, United States
Duration: 2006 Jan 232006 Jan 26

Other

OtherPhotonic Crystal Materials and Devices IV
CountryUnited States
CitySan Jose, CA
Period06/1/2306/1/26

Fingerprint

Periodic structures
Periodic Structures
Polarization
Wavelength
Photonic crystals
Simulated annealing
Photonics
Gratings
Refractive index
Energy gap
Binary search
Photonic Band Gap
Simulated Annealing Algorithm
Photonic Crystal
Reflectance
Standard deviation
Refractive Index
Incidence
Deviation
Experimental Data

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

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title = "Investigation of an effective medium theory for metallic periodic structures: A fitting-based approach",
abstract = "While the effective medium theory (EMT) has been useful to explain optical characteristics of a dielectric periodic structure analytically, it has failed to describe metallic structures correctly. In this paper, a fitting-based approach is introduced to applying an effective medium theory to structures that include metallic material. The effective indices of a metallic medium were first obtained by numerically fitting to reflectance characteristics calculated with rigorous coupled wave analysis (RCWA). Searching for an effective medium has been performed through binary searches rather than a time-consuming simulated-annealing algorithm. The calculated effective medium showed results that are in good agreement with RCWA. The deviation was minimal in the long-wavelength limit when angles of incidence, grating depths, or refractive indices of a superstrate are varied. In particular, TE polarization showed more robust features against the variations while TM polarization was more sensitive to the modeling parameters. In terms of the standard deviation, the calculated effective medium was the least affected by the change of grating depths. The applicability of the fitting-based approach was investigated by applying it to a three-dimensional metallic photonic crystal. Simulation results based on the fitting-based EMT perfectly reproduced broad photonic bandgap as observed in published experimental data. Also, the fitting-based approach provided valid results in the wider wavelength range than a traditional EMT.",
author = "Seyoung Moon and Donghyun Kim",
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Moon, S & Kim, D 2006, Investigation of an effective medium theory for metallic periodic structures: A fitting-based approach. in Photonic Crystal Materials and Devices IV. vol. 6128, 61281M, Photonic Crystal Materials and Devices IV, San Jose, CA, United States, 06/1/23. https://doi.org/10.1117/12.644972

Investigation of an effective medium theory for metallic periodic structures : A fitting-based approach. / Moon, Seyoung; Kim, Donghyun.

Photonic Crystal Materials and Devices IV. Vol. 6128 2006. 61281M.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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