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Q: Fachverband Quantenoptik und Photonik

Q 49: Ultrakurze Laserpulse (Anwendungen II)

Q 49.1: Talk

Thursday, March 13, 2008, 16:30–16:45, 3H

Exact description of self-focusing in highly nonlinear geometrical optics — •Larisa Tatarinova and Martin Garcia — University of Kassel, Kassel, Germany

Problem of intense light propagation in a media exhibiting highly nonliner responce is studied in the geometrical optic approximation. We demonstrate that for big number of modern experiments and applications this approximation is appropriate. Particularly, for propagation of 5 nJ femtosecond pulse in air, the obtained analytically self-focusing distance deviates from the numerical solution of the nonlinear Schrodinger equation as 0.4%. We construct analytical solutions for several types of nonlinearities. The obtained solutions turn out to be exact on the beam axis and provide a benchmark for numerical simulations, and replace the widely used empirical Marburger formula. We show how the hight order nonlinearities can lead to dramatic changes in the self-focusing behaviour, and present a way for their experimental determination.