Transformation of ring-Airy beams during efficient harmonic generation

Area of Science:

• Nonlinear Optics
• Laser Physics
• Beam Propagation

Background:

• Ring-Airy beams exhibit unique autofocusing properties.
• Harmonic generation is a key process in nonlinear optics.
• Pump energy depletion can significantly alter beam dynamics.

Purpose of the Study:

• To theoretically investigate the evolution of ring-Airy beams during harmonic generation.
• To analyze beam behavior under pump energy depletion.
• To understand the transformation of ring-Airy beams and generated harmonics.

Main Methods:

• Theoretical study of ring-Airy beam propagation.
• Numerical simulations of harmonic generation.
• Development of an analytical model.

Main Results:

• Ring-Airy beams retain abrupt autofocusing despite pump energy depletion.
• Beams transform into multiple ring-Airy structures.
• Generated harmonic beams exhibit similar structural transformations.

Conclusions:

• The abrupt autofocusing of ring-Airy beams is robust even in the energy depletion regime.
• A simple analytical model accurately predicts the observed beam transformations.
• Findings offer insights into nonlinear beam dynamics and harmonic generation.