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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 1 — Jan. 1, 2013
  • pp: 40–50

Comparisons of the transmission and resonant tunneling between the superlattice composed of two alternating photonic crystals and its effective structure

Ting-Hang Pei and Yang-Tung Huang  »View Author Affiliations


JOSA B, Vol. 30, Issue 1, pp. 40-50 (2013)
http://dx.doi.org/10.1364/JOSAB.30.000040


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Abstract

Transmissions and resonant tunneling of superlattices composed of two alternating triangular photonic crystals (PhCs) and their corresponding effective one-dimensional (1D) superlattices are discussed. In the first case, below 0.40 (c/a), the transmissions of effective 1D superlattices calculated by the effective medium theory (EMT) match those of two-alternating-PhC superlattices calculated by the internal-field expansion method. No matter whether the propagating direction is along the symmetric (along ΓK or ΓM directions) or nonsymmetric axes (incident angle θ=45°), the results hold very well. In the second case, resonant-tunneling phenomena and transmissions of the two-period superlattice composed of two alternating PhCs (the resonant-tunneling superlattice) can also be predicted by EMT below 0.20 (c/a). However, due to the evanescent waves at oblique incidence, the interface effect between two PhCs becomes explicit in the higher-frequency region and results in the deviations of resonant-tunneling frequencies in EMT calculations. By modifying the effective refractive indices of both PhCs, deviations are corrected and EMT calculations can exhibit resonant tunneling at right frequencies. Furthermore, the resonant-tunneling superlattice with larger background dielectric constant displays fewer modifications on the effective refractive indices.

© 2012 Optical Society of America

OCIS Codes
(050.2065) Diffraction and gratings : Effective medium theory
(260.2065) Physical optics : Effective medium theory
(350.4238) Other areas of optics : Nanophotonics and photonic crystals

ToC Category:
Diffraction and Gratings

History
Original Manuscript: August 7, 2012
Revised Manuscript: October 26, 2012
Manuscript Accepted: October 26, 2012
Published: December 6, 2012

Citation
Ting-Hang Pei and Yang-Tung Huang, "Comparisons of the transmission and resonant tunneling between the superlattice composed of two alternating photonic crystals and its effective structure," J. Opt. Soc. Am. B 30, 40-50 (2013)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-1-40

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