Vortex preserving statistical optical beams.

Area of Science:

• Optics
• Quantum Optics
• Statistical Optics

Background:

• Partially coherent beams are crucial in various optical applications.
• Vortex beams possess orbital angular momentum, enabling unique functionalities.
• Understanding beam propagation through optical systems is essential for designing optical devices.

Purpose of the Study:

• To establish a general form of the cross-spectral density for statistical sources generating vortex-preserving partially coherent beams.
• To demonstrate the vortex structure preservation of these beams in linear ABCD optical systems.
• To explore the potential of these beams in optical trapping applications.

Main Methods:

• Derivation of the general cross-spectral density for vortex-preserving partially coherent beams.
• Introduction of a specific class of partially coherent vortex beams with a closed-form cross-spectral density.
• Analysis of beam propagation through free space and imaging by a thin lens.
• Investigation of nanoparticle trapping capabilities using these beams.

Main Results:

• A general cross-spectral density formula for vortex-preserving partially coherent beams is established.
• The preservation of the vortex structure of these beams is demonstrated during propagation and imaging.
• The capacity of these beams to trap nanoparticles with a lower refractive index than the surrounding medium is shown.

Conclusions:

• The developed theory provides a framework for understanding and designing partially coherent vortex beams.
• Vortex structure preservation is a key characteristic of these beams in various optical systems.
• These beams offer promising applications in optical trapping and manipulation of microparticles.