Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General Metasurface Synthesis Based on Susceptibility Tensors   A general method, based on susceptibility tensors, is proposed for the
synthesis of metasurfaces transforming arbitrary incident waves into arbitrary
reflected and transmitted waves. The proposed method exhibits two advantages:
1)it is inherently vectorial, and therefore better suited for full vectorial
(beyond paraxial) electromagnetic problems, 2) it provides closed-form
solutions, and is therefore extremely fast. Incidentally, the method reveals
that a metasurface is fundamentally capable to transform up to four independent
wave triplets (incident, reflected and refracted waves). In addition, the paper
provides the closed-form expressions relating the synthesized susceptibilities
and the scattering parameters simulated within periodic boundary conditions,
which allows one to design the scattering particles realizing the desired
susceptibilities. The versatility of the method is illustrated by examples of
metasurfaces achieving the following transformations: generalized refraction,
reciprocal and non-reciprocal polarization rotation, Bessel vortex beam
generation, and orbital angular momentum multiplexing.

22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys