Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A novel view of plane wave expansion method in photonic crystals   We propose a method derived from the simple plane wave expansion that can
easily solve the interface problem between vacuum and a semi-infinite photonic
crystal. The method is designed to find the complete set of all the
eigenfunctions, propagating or evanescent, of the translation operators $\{{\bf
T_R} \}$, at a fixed frequency. With these eigenfunctions and their
eigenvalues, the transmitted and reflected waves can be determined. Two kinds
of applications are presented for 2D photonic crystals. The first is a
selection rule for determine the normal direction of the vacuum-photonic
crystal interface to achieve the highest attenuation effect at a gap frequency.
The second is to calculate the transmittance and reflectance for a light
incident from vacuum to an semi-infinite photonic crystal. As an example we
recalculate a system studied previously by K. Sakoda et al. and get results in
agreement with theirs.

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The categories of this paper are: hep-ph
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess