Analytical solution for photonic band-gap crystals using Drude conductivity

An analytical solution for the photonic band-gap of semiconductor structures in the terahertz (THz) frequency range is discussed. In analogy with the Kronig–Penney model for electronic band-gaps in periodic potentials, Maxwell’s equations for the propagation of light in the photonic crystal are tran...

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Published in:American journal of physics 2004-08, Vol.72 (8), p.1051-1054
Main Authors: Schulkin, Brian, Sztancsik, Laszlo, Federici, John F.
Format: Article
Language:English
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Band gap
Mathematical analysis
Physics
Semiconductors
Thermodynamics
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description An analytical solution for the photonic band-gap of semiconductor structures in the terahertz (THz) frequency range is discussed. In analogy with the Kronig–Penney model for electronic band-gaps in periodic potentials, Maxwell’s equations for the propagation of light in the photonic crystal are transformed into an equivalent form of Schrödinger’s equation. In the THz frequency range, the refractive index of the semiconductor is well represented by a frequency-dependent Drude model. We thus find a Kronig–Penney type solution for the photonic band-gap crystal.
doi_str_mv 10.1119/1.1758223
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subjects Band gap
Mathematical analysis
Physics
Semiconductors
Thermodynamics
title Analytical solution for photonic band-gap crystals using Drude conductivity
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