Analytical solution for photonic band-gap crystals using Drude conductivity

Document Type

Article

Publication Date

8-1-2004

Abstract

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.

Identifier

4344716301 (Scopus)

Publication Title

American Journal of Physics

External Full Text Location

https://doi.org/10.1119/1.1758223

ISSN

00029505

First Page

1051

Last Page

1054

Issue

8

Volume

72

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