Abstract
The symmetry of the eigenmodes of photonic crystals plays an important role in their optical response. In this chapter, we will formulate the group theory of the radiation field in the photonic crystals in order to classify the spatial symmetry of their eigenfunctions. An efficient method for the symmetry assignment that excludes unphysical quasi-longitudinal modes, which was discussed in the last chapter, will be presented. The existence of such eigenmodes that cannot be excited by external plane waves because of the mismatching of the symmetry will be shown. This method will be applied to some examples.
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© 2001 Springer-Verlag Berlin Heidelberg
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Sakoda, K. (2001). Symmetry of Eigenmodes. In: Optical Properties of Photonic Crystals. Springer Series in Optical Sciences, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-14324-7_3
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DOI: https://doi.org/10.1007/978-3-662-14324-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-14326-1
Online ISBN: 978-3-662-14324-7
eBook Packages: Springer Book Archive