Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical Fresnel laws at generic curved interfaces   Fresnel laws, the quantitative information of the amount of light that is
reflected from a planar interface in dependence on its angle of incidence, are
at the core of ray optics. However, these formulae do not hold at curved
interfaces and deviations are appreciable when wavelength and radius of
curvature are comparable. This is of particular interest for optical
microcavities that play an important role in many modern research fields and
applications such as microlasers. Their convexly curved interfaces modify
Fresnel's law in a characteristic manner: the onset of total internal
reflection is shifted to angles larger than the critical angle. Here, we derive
the missing Fresnel laws for concavely curved refractive index boundaries,
enabling the analytical description of light in complex mesoscopic optical
structures that will be important in future nano- and microphotonic
applications.

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The categories of this paper are: cs
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: math
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The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys