Partially coherent radially polarized fractional vortex beam

Area of Science:

• Optics and Photonics
• Laser Physics
• Beam Propagation

Background:

• Partially coherent beams are crucial in various optical applications.
• Fractional vortex beams offer unique phase properties.
• Vector beams combine polarization and phase characteristics.

Purpose of the Study:

• Introduce and characterize a new partially coherent vector beam: the PCRPFV beam.
• Derive realizability conditions and propagation formulas for PCRPFV beams.
• Investigate the statistical properties of focused PCRPFV beams.

Main Methods:

• Theoretical derivation of propagation formulas.
• Analysis of statistical properties (intensity, polarization, cross-spectral density).
• Experimental generation and verification of PCRPFV beams.

Main Results:

• Introduced the partially coherent radially polarized fractional vortex (PCRPFV) beam.
• Derived its realizability conditions and propagation characteristics.
• Demonstrated that PCRPFV beam properties are distinct and depend on fractional topological charge and coherence width.

Conclusions:

• PCRPFV beams represent a novel class of partially coherent vector beams.
• Their unique statistical properties offer potential for advanced optical applications.
• Experimental validation confirms the theoretical predictions and beam behavior.