Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the overall polarisation properties of full Poincar\'e beams   We analyse the polarisation properties of full Poincar\'e beams. We consider
different configurations, such as Laguerre-Poincar\'e, Bessel-Poincar\'e, and
Lambert-Poincar\'e beams. The former is the original Poincar\'e beam produced
by a collinear superposition of two Laguerre-Gauss beams with orthogonal
polarisations. For this configuration, we describe the Stokes statistics and
overall invariant parameters. Similarly, Bessel-Poincar\'e beams are produced
by the collinear superposition of Bessel beams with orthogonal polarisations.
We describe their properties under propagation and show that they behave as a
free-space polarisation attractor transforming elliptical polarisations to
linear polarisations. We also propose a novel type of full Poincar\'e pattern,
one which is generated by a Lambert projection of the Poincar\'e sphere on the
transverse plane, and hence we call them Lambert-Poincar\'e. This
configuration, contrary to the Laguerre-Poincar\'e, provides a finite region
containing all polarisation states uniformly distributed on the Poincar\'e
sphere.

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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
10
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: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin