Title: Comparisons of the transmission and resonant tunneling between the superlattice composed of two alternating photonic crystals and its effective structure
Authors: Pei, Ting-Hang
Huang, Yang-Tung
Department of Electronics Engineering and Institute of Electronics
D Link NCTU Joint Res Ctr
Issue Date: 1-Jan-2013
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 Gamma K or Gamma M directions) or nonsymmetric axes (incident angle theta = 45 degrees), 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. (C) 2012 Optical Society of America
URI: http://dx.doi.org/10.1364/JOSAB.30.000040
ISSN: 0740-3224
DOI: 10.1364/JOSAB.30.000040
Volume: 30
Issue: 1
Begin Page: 40
End Page: 50
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