Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Stokes vector for three photon process   Stokes Muller formalism is important to understand the optical properties of
materials by measuring the change in the polarization state of light upon
scattering. The formalism can be extended to nonlinear scattering processes
involving two and three photon processes. In this work, we derive a triple
Stokes vector analytically using operator approach used in quantum theory of
light. A three photon polarization state can be described by Stokes vector that
has sixteen components involving cubes of intensities. The response of a
material for the scattering of light in a three photon process is described by
4 x 16 Muller matrix. Polarization in Polarization out (PIPO) experiments can
be carried out to determine the elements of Muller matrix. For that we identify
16 independent points in Poincare sphere and construct triple Stokes vector for
each point. Four measurements to find the linear Stokes vector of the scattered
light for incident light in each of the sixteen three photon states determine
the Muller matrix of the sample.

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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph