Rectangular Hermite non-uniformly correlated beams and its propagation properties

Area of Science:

• Optics and Photonics
• Beam Propagation
• Coherence Theory

Background:

• Non-uniformly correlated beams offer unique propagation characteristics.
• Hermite beams are a well-established class of optical beams.
• Controlling beam focus is crucial for many optical applications.

Purpose of the Study:

• Introduce a novel class of beams: rectangular Hermite non-uniformly correlated (RHNUC) beams.
• Investigate the self-focusing properties of RHNUC beams in free space and turbulent media.
• Demonstrate the tunability of the focal position and intensity distribution through source correlation properties.

Main Methods:

• Theoretical analysis of RHNUC beam propagation.
• Numerical simulations of beam propagation in free space and turbulent environments.
• Parameter studies involving mode orders and correlation lengths.

Main Results:

• RHNUC beams exhibit self-focusing behavior.
• The focal position of RHNUC beams can be precisely controlled in three-dimensional space.
• Astigmatic beams with extended, near-constant intensity profiles can be engineered by manipulating correlation lengths and mode orders.

Conclusions:

• RHNUC beams represent a new class of optical beams with tunable self-focusing properties.
• The ability to control focus and intensity distribution makes RHNUC beams promising for applications requiring tailored beam shaping.
• This work expands the toolkit for designing beams with specific propagation characteristics for diverse optical systems.