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American Journal of Physics -- August 2004 -- Volume 72, Issue 8, pp. 1051

Analytical solution for photonic band-gap crystals using Drude conductivity

Brian Schulkin, Laszlo Sztancsik, and John F. Federici

Department of Physics, New Jersey Institute of Technology, University Heights, Newark, New Jersey 07102

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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. © 2004 American Association of Physics Teachers.

© 2004 American Association of Physics Teachers

KEYWORDS and PACS

Keywords

photonic crystals, teaching, photonic band gap, Maxwell equations, light propagation, Schrodinger equation, refractive index, Kronig-Penney model, physics education

PACS

  • 01.50.-i

    Educational aids

  • 78.20.Ci

    Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity)

  • 42.70.Qs

    Photonic bandgap materials

  • 71.15.Ap

    Basis sets (LCAO, plane-wave, APW, etc.) and related methodology (scattering methods, ASA, linearized methods, etc.)

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History
Received Jul 2002
Accepted Apr 2004
Online Jul 2004

PUBLICATION DATA

ISSN

0002-9505 (print)  

Publisher

$abstract.society.value is a Member of CrossRef American Association of Physics Teachers

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1119/1.1758223

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