Journal
PHYSICAL REVIEW A
Volume 82, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.82.043832
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Funding
- National Natural Science Foundation of China [11005092]
- Development Foundation of the Zhejiang A & F University of Science and Research
- State Key Program for Basic Research of China [2006CB921805]
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The effect of Kerr nonlinearity on an Airy beam is investigated by using the nonlinear Schrodinger equation. Based on the moments method, the evolution of the Airy beam width in the rms sense is analytically described. Numerical simulations indicate that the central parts of the major lobe of the Airy beam initially give rise to radial compression during propagation in a focusing medium, even though the rms beam width broadens. The partial collapse of the center parts of the major lobe of the beam appear below the threshold for a global collapse. The evolutions of the field distributions of the Airy beams are different during propagation in different Kerr media while the beams still travel along the parabolic trajectory just as the beam propagates in free space.
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