Partially coherent Ince-Gaussian beams.

Area of Science:

• Optics and Photonics
• Laser Physics

Background:

• Partially coherent light beams exhibit complex spatial fluctuations.
• Characterizing these beams, such as Ince-Gaussian beams, is challenging due to inherent randomness.

Purpose of the Study:

• To investigate the generation and characterization of Ince-Gaussian beams in the spatially partially coherent regime.
• To demonstrate the utility of the cross-correlation function (CCF) for analyzing these beams.

Main Methods:

• Experimental generation of Ince-Gaussian beams.
• Numerical simulations of beam propagation and characterization.
• Analysis using the cross-correlation function (CCF).

Main Results:

• The CCF provides detailed insight into the beam's composition.
• The CCF reveals the spatial coherence structure and singularities of the beams.
• Experimental results closely match numerical simulations.

Conclusions:

• The cross-correlation function is a powerful tool for characterizing partially coherent Ince-Gaussian beams.
• The CCF effectively elucidates beam structure, coherence, and singularities.
• Validated experimental and numerical approaches for studying these beams.