Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\omega{\rm-}k_x$ Fano line shape in photonic crystal slabs   We study the resonant properties of photonic crystal slabs theoretically. An
$\omega{\rm-}k_x$ Fano line shape that approximates the transmission
(reflection) spectrum is obtained. This approximation, being a function of
light's frequency and in-plane wave vector, generalizes the conventional Fano
line shape. Two particular approximations, parabolic and hyperbolic, are
obtained and investigated in detail, taking into account the symmetry of the
structure, the reciprocity, and the energy conservation. The parabolic
approximation considers a single resonance at normal incidence, while the
hyperbolic one takes into account two modes, the symmetric and the
antisymmetric. Using rigorous simulations based on the Fourier modal method we
show that the hyperbolic line shape provides a better approximation of the
transmission spectrum. By deriving the causality conditions for both
approximations, we show that only the hyperbolic one provides causality in a
relativistic sense.

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The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex