Partially coherent sources generated from the incoherent sum of fields containing random-width Bessel functions

Area of Science:

• Optics and Photonics
• Quantum Optics

Background:

• Partially coherent sources are crucial for various optical applications.
• Recent advancements have enabled the realization of specific correlated sources, such as I_m-Bessel correlated sources.

Purpose of the Study:

• To demonstrate the realization of an I_m-Bessel correlated source using the criterion for a genuine cross-spectral density function.
• To create and characterize a new class of partially coherent sources.
• To validate the theoretical analysis through simulations and experimental comparisons.

Main Methods:

• Utilizing the criterion for a genuine cross-spectral density function.
• Employing the coherent-mode representation of optical sources.
• Simulating the generation of partially coherent sources.
• Comparing simulation results with theoretical predictions.

Main Results:

• Successfully demonstrated the realization of an I_m-Bessel correlated source.
• Introduced a new class of partially coherent sources through a simple modification.
• Validated the theoretical framework by comparing simulations with predictions.
• Showcased the ease of synthesis using spatial light modulators.

Conclusions:

• The study successfully realized a specific type of correlated source and introduced a new family of partially coherent sources.
• The presented methods are robust and validated through simulations.
• The developed partially coherent sources are readily synthesizable and applicable to optical trapping and tweezers.