Vol. 27, issue 04, article # 6
Bulygin A. D. The kinetic equation for filament density, formed during propagation of femtosecond laser radiation, in the approximation of self-consistent field. // Optika Atmosfery i Okeana. 2014. V. 27. No. 04. P. 302-305 [in Russian].Copy the reference to clipboard
Abstract:
A general form of the kinetic equation (nonlinear diffusion equation) for filament number density considering the effects of their generation and decay is stated. It consists of the phenomenological parameters, which have been determined from the direct numerical simulation of propagation of a high-power femtosecond laser pulse (HPFLP) based on the stationary nonlinear Schrödinger equation (NSE) for a series of the threshold particular cases.
Keywords:
nonlinear diffusion equation, high-power femtosecond laser pulse, filamentation
References:
1. Kasparian J., Wolf J.-P. Physics and applications of atmospheric nonlinear optics and filamentation // Opt. Express. 2008. V. 16, N 1. P. 466–493.
2. Boyd R.W., Lukishova S.G., Shen Y.R. Self-Focusing: Past and Present // Springer Science, Business Media: LLC, 2009. 605 p.
3. Mauger S., Guillaume Colin de Verdiere, Berge L., Skupin S. GPU accelerated fully space and time resolved numerical simulations of self-focusing laser beams in SBS-active media // J. Comput. Phys. 2013. V. 235. P. 606–625.
4. Henin S., Petit Y., Kasparian J., Wolf J.-P., Jochmann A., Kraft S.D., Bock S., Schramm U., Sauerbrey R., Nakaema W.M., Stelmaszczyk K., Rohwetter P., Woste L., Soulez C.-L., Mauger S., Berge L., Skupin S. Saturation of the filament density of ultrashort intense laser impulse in air // Appl. Phys. B. 2010. DOI: 10.1007/s00340-010-3941-x.
5. Lushnikov P.M., Vladimirova N. Non-Gaussian statistics of multiple filamentation // Opt. Lett. 2010. V. 35, iss. 12. P. 1965–1967.
6. Zemljanov A.A., Bulygin A.D. Jevoljucija jeffektivnyh harakteristik moshhnogo femtosekundnogo lazernogo izluchenija v rezhime opticheskoj turbulentnosti. Priblizhenie gaussovoj formy puchka // Optika atmosf. i okeana. 2010. V. 23, N 5. P. 378–382.
7. Bulygin A.D. The density number of filaments in the state of the weak and optical turbulence // arXiv: 1208.3916.
8. Mihajlov A.S., Uporov I.V. Kriticheskie javlenija v sredah s razmnozheniem, raspadom i diffuziej // Uspehi fiz. nauk. 1984. V. 144, issue 1. P. 79–112.
9. Zel'dovich Ja.B., Mihajlov A.S. Fluktuacionnaja kinetika reakcij // Uspehi fiz. nauk. 1987. V. 153, issue 11. P. 469–496.
10. Rozanov N.N. Dissipativnye opticheskie solitony. Ot mikro- k nano- i atto-. M.: Fizmatlit, 2011. 536 p.
11. Zemljanov A.A., Bulygin A.D Osobennosti razvitija vozmushhenij svetovogo polja v kerrovskoj srede s nelinejnym pogloshheniem // Optika atmosf. i okeana. 2012. V. 25, N 10, P. 852–856.
12. Bogoljubov N.N. O principe kompensacii i metode samosoglasovannogo polja // Uspehi fiz. nauk. 1959. V. 67, issue 4. P. 549–580.