On the overall polarisation properties of full Poincaré beams

Abstract

We analyse the polarisation properties of full Poincaré beams. We consider different configurations, such as Laguerre-Poincaré, Bessel-Poincaré, and Lambert-Poincaré beams. The former is the original Poincaré 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-Poincaré 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 Poincaré pattern, one which is generated by a Lambert projection of the Poincaré sphere on the transverse plane, and hence we call them Lambert-Poincaré. This configuration, contrary to the Laguerre-Poincaré, provides a finite region containing all polarisation states uniformly distributed on the Poincaré sphere.

References in corpus (1)

• Poincaré Bessel Beams: Structure and Propagation

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