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The cross correlation function of partially coherent vortex beam.

Pan Feng Ding, Jixiong Pu

|February 12, 2014

Summary

This summary is machine-generated.

The cross correlation function (CCF) of partially coherent vortex beams (PCVB) can indicate topological charge. However, CCF dislocation rings depend on coherence length, beam order, and observation plane, not always existing.

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Area of Science:

Optics and Photonics
Quantum Optics
Beam Physics

Background:

Partially coherent vortex beams (PCVB) carry orbital angular momentum (OAM).
The cross correlation function (CCF) is a tool to analyze optical beam properties.
Understanding the relationship between CCF and OAM is crucial for optical applications.

Purpose of the Study:

To theoretically analyze the cross correlation function (CCF) of partially coherent vortex beams (PCVB).
To investigate the relationship between the number of rings in CCF dislocations and the orbital angular momentum (OAM) of PCVB.
To determine the conditions under which CCF dislocation rings appear and their dependence on beam parameters.

Main Methods:

Theoretical analysis of the CCF for PCVB.
Detailed examination of the relationship between OAM and CCF dislocation rings.
Numerical simulations to validate theoretical findings.

Main Results:

The number of rings in CCF dislocations is analyzed in relation to the OAM of PCVB.
CCF dislocation rings are not always present and depend on coherence length, PCVB order, and observation plane location.
The CCF provides some indication of topological charge, but ring presence is conditional.

Conclusions:

The existence and characteristics of CCF dislocation rings in PCVB are conditional.
Coherence length, beam order, and observation plane significantly influence CCF dislocation ring formation.
While CCF offers insights into topological charge, its direct correlation with dislocation rings requires careful consideration of experimental parameters.