Abstract

Strong self-focusing and defocusing of optical radiation with Gaussian spatial and temporal distribution due to cascading second harmonic generation without a significant change in the beam profile and the pulse shape for the fundamental wave under the condition of group velocity matching in the axial-symmetric case for a bulk medium is considered, and the maximum intensity of an optical beam increases in 70 times (or more) in comparison with the intensity of incident optical radiation. This result is obtained for pulse duration, which belongs to a time interval from microseconds to picoseconds, for which the dispersion of group velocity is negligible. Self-focusing of laser radiation allows the realization of the mode that is similar to Kerr-lens mode locking, but for laser systems generating the optical radiation with a duration from microseconds to picoseconds.

©2012 Optical Society of America

Scaling laws for soliton pulse compression by cascaded quadratic nonlinearities

M. Bache, J. Moses, and F. W. Wise
J. Opt. Soc. Am. B 24(10) 2752-2762 (2007)

Compensation for self-focusing by use of cascade quadratic nonlinearity

Kale Beckwitt, Frank W. Wise, Liejia Qian, Larry A. Walker, and Edesly Canto-Said
Opt. Lett. 26(21) 1696-1698 (2001)

Nonlinear wave equation in frequency domain: accurate modeling of ultrafast interaction in anisotropic nonlinear media

Hairun Guo, Xianglong Zeng, Binbin Zhou, and Morten Bache
J. Opt. Soc. Am. B 30(3) 494-504 (2013)

Soliton compression to few-cycle pulses with a high quality factor by engineering cascaded quadratic nonlinearities

Xianglong Zeng, Hairun Guo, Binbin Zhou, and Morten Bache
Opt. Express 20(24) 27071-27082 (2012)

Theory of Kerr-lens mode locking: role of self-focusing and radially varying gain

Joachim Herrmann
J. Opt. Soc. Am. B 11(3) 498-512 (1994)