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Helicity conservation in V-point diffraction.

Saba N Khan, S Deepa, P Senthilkumaran

|August 16, 2019

Summary

This summary is machine-generated.

Helicity and polarization singularity index are conserved during vector vortex (V-point) diffraction. This conservation results in equal numbers of opposite-handed C-points and the presence of an L-line in the diffracted field.

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Area of Science:

Optics and Photonics
Quantum Information
Mathematical Physics

Background:

Topological charge is conserved in singular beams during diffraction.
Diffraction of vector fields exhibits conserved quantities, similar to scalar fields.
V-point diffraction results in C-points with conserved polarization singularity index.

Purpose of the Study:

To demonstrate helicity conservation in V-point diffraction for the first time.
To investigate the relationship between V-points, C-points, and helicity.
To experimentally verify the conservation laws and associated phenomena.

Main Methods:

Theoretical analysis of V-point diffraction.
Mathematical formulation of helicity and polarization singularity index conservation.
Experimental investigation using two distinct aperture types.

Main Results:

Helicity, in addition to the index, is conserved during V-point diffraction.
Diffracted V-points yield an equal number of opposite-handed C-points.
Orthogonal pairs of C-points and the presence of an L-line are observed.

Conclusions:

Helicity conservation dictates the formation of specific C-point configurations.
The diffraction of vector vortex beams follows fundamental conservation laws.
Experimental results validate the theoretical predictions for V-point diffraction.