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Title

Group theoretical investigations of photonic band structures
Authors

W. Hergert
Organization: Martin-Luther-University Halle-Wittenberg
Department: Department of Physics
Markus Dane
Organization: Martin-Luther-University Halle-Wittenberg
Department: Department of Physics
Journal / Anthology

Physica Status Solidi (a)
Year: 2003
Volume: 197
Issue: 3
Page range: 620-634
Description

Group theoretical investigations have a huge potential to simplify calculations in solid state theory. We will discuss the application of group theory to photonic band structures. The symmetry properties of Maxwell’s equations will be investigated. We have developed methods to simplify group theoretical investigations based on the computer algebra system Mathematica. The application to photonic band structures will be discussed in detail for two-dimensional photonic crystals.
Subjects

*Mathematics > Algebra > Group Theory
*Science > Physics > Solid State Physics