2010/10/25 by Ido Dolev, Ady Arie
Mathematics · Physics and Astronomy · #Acceleration #Advanced Fiber Laser Technologies #Airy beam #Beam (structure) #Classical mechanics #Four-wave mixing #Fourier transform #Geometry #Laser-Matter Interactions and Applications #Mathematics #Mixing (physics) #Nonlinear optics #Nonlinear system #Optics #Orbital Angular Momentum in Optics #Physics #Quadratic equation #Quantum mechanics
paper · doi:10.1063/1.3504247
openalex publication_date 2010/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26
We study three wave mixing processes of accelerating Airy beams in quadratic nonlinear crystals. In order to frequency convert these beams, the nonlinear process should be performed with the Fourier transform of the beam, rather than with the beam itself. This was confirmed experimentally by frequency doubling of one-dimensional and two-dimensional Airy beams in a periodically poled crystal. Sum-frequency or difference frequency process between two accelerating beam enable to set the acceleration rate and direction of the generated beam.