Product-Gauss integration method in the numerical investigation of relativistic self-focusing critical power of intense laser beams with LG10 and LG20 modes in plasma

This paper presents an analysis of the self-focusing of a rippled Gaussian laser beam in a plasma when the nonlinear part of the effective dielectric constant is arbitrarily large. Considering the nonlinearity to arise from ponderomotive, collisional or thermal-conduction phenomena and following the approach of Akhmanov, Sukhorukov and Khokhlov (which is based on the WKB and paraxial-ray approximation) the phenomenon of self-focusing of rippled laser beams is studied for arbitrary magnitude of nonlinearity. For ponderomotive and collisional nonlinearities, the present theory leads to two values of the critical power for self-focusing of the beam, Pcrl and Pcr2, which depend on the amplitudes and phase difference of the main beam and the ripple. When the beam power P lies between the two critical values (i.e. Pcr1 < P < Pcr2), the medium behaves as an oscillatory waveguide; the beam first converges and then diverges, again converges, and so on. For P < Pcr2, the beam first diverges, then converges, then diverges, and so on. When thermal conduction is the dominant mechanism of nonlinearity of the dielectric constant, only one value of the threshold critical power Pcr for self-focusing of the beam exists. When the beam power P < Pcr, the medium behaves as an oscillatory waveguide.

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Small-Scale Self-Focusing Suppression at Intense Laser Beams in Mediums with Quadratic and Cubic Nonlinearity

Advances in Optical Materials ◽

10.1364/hilas.2011.hwc6 ◽

2011 ◽

Cited By ~ 1

Author(s):

Sergey Mironov ◽

Efim Khazanov ◽

Vladimir Lozhkarev ◽

Vladislav Ginzburg ◽

Gerard Mourou

Keyword(s):

Intense Laser ◽

Laser Beams ◽

Small Scale ◽

Cubic Nonlinearity ◽

Self Focusing

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Instability Growth And Filamentation of Very Intense Laser Beams in Self-Focusing Media

Progress of Theoretical Physics ◽

10.1143/ptp.83.414 ◽

1990 ◽

Vol 83 (3) ◽

pp. 414-442 ◽

Cited By ~ 19

Author(s):

N. C. Kothari ◽

S. C. Abbi

Keyword(s):

Intense Laser ◽

Laser Beams ◽

Self Focusing ◽

Instability Growth

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Can Self-focusing of Intense Laser Beams Cause Bose -Einstein Condensation in to a Superfluid State ?

Zeitschrift für Naturforschung A ◽

10.1515/zna-1989-0311 ◽

1989 ◽

Vol 44 (3) ◽

pp. 243-244 ◽

Cited By ~ 1

Author(s):

F. Winterberg

Keyword(s):

Refractive Index ◽

Laser Radiation ◽

Intense Laser ◽

Laser Beams ◽

Einstein Condensation ◽

Superfluid State ◽

Bose Einstein Condensation ◽

Self Focusing ◽

Intense Laser Radiation ◽

Bose Einstein

Abstract The cause of the phenomenon of self-focusing of intense laser radiation in solids is the nonlinear inten sity dependent refractive index [1] n = nl + n 2E2, (1)

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Small-Scale And Whole Beam Self-Focusing Of Very Intense Laser Beams In Saturable Absorbers

10.1117/12.976170 ◽

1985 ◽

Author(s):

J. P. Babuel-Peyrissac ◽

J. P. Marinier ◽

C. Bardin ◽

F. P. Mattar ◽

J. Teichmann ◽

...

Keyword(s):

Intense Laser ◽

Laser Beams ◽

Small Scale ◽

Saturable Absorbers ◽

Self Focusing

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INTERACTION OF INTENSE SHORT LASER PULSES WITH AIR AND DIELECTRIC MATERIALS

International Journal of Modern Physics B ◽

10.1142/s0217979207042422 ◽

2007 ◽

Vol 21 (03n04) ◽

pp. 615-625 ◽

Cited By ~ 1

Author(s):

S. EISENMANN ◽

Y. KATZIR ◽

A. ZIGLER ◽

G. FIBICH ◽

E. LOUZON ◽

...

Keyword(s):

Critical Power ◽

Laser Pulses ◽

Dielectric Materials ◽

Laser Beams ◽

Threshold Fluence ◽

Short Pulses ◽

Self Focusing ◽

Chirped Pulses ◽

Short Laser Pulses ◽

Wide Gap

A study of the propagation of intense short laser pulses in air and the interaction of these pulses with distant targets is described. It is shown that the beam filamentation pattern can be controlled by introducing beam astigmatism. In addition, it is demonstrated that the collapse distance of intense femtosecond laser beams scales as P -1/2 for input powers that are moderately above the critical power for self focusing, and that at higher powers the collapse distance scales as P -1. Related to the interaction of intense short pulses with distant targets, it is measured that the threshold fluence for optical damage in wide gap materials is lower by up to 20% for negatively chirped pulses than for positively chirped, at pulse durations ranging from 60 fs to 1 ps.

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