Experimental observation of beams’ self-deflection appearing with two-dimensional spatial soliton propagation in bulk Kerr material

Barthélémy, Alain; Froehly, C.; Maneuf, S.; Reynaud, François

doi:10.1364/ol.17.000844

Cited by 35 publications

(12 citation statements)

References 9 publications

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“…Because of the increased pump intensity near the pump pulse peak, the oscillations become stronger for probe beam parts closer to the central part of the pump . This agrees with the analyses in [8,12], where an intensity-dependent (self)induced deflection combined with a far-field spatial filtering is used for pulse shaping and shortening . The experimental geometry in [5] involves angularly offset beams of coincident centres at the entrance of the nonlinear medium, in contrast to the off-axis geometry analysed here .…”

Section: Theoretical Analysissupporting

confidence: 89%

See 1 more Smart Citation

Dynamics of Induced Lightbeam Deflection in an Off-axis Geometry

Dreischuh

Kavaldjiev

Dinev

1995

Journal of Modern Optics

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Section: Theoretical Analysissupporting

confidence: 89%

“…The experimental results reported [5] are in a good agreement with the theory . The induced deflection of an optical beam in an off-axis geometry is analysed extensively both theoretically [6,7] and experimentally [8,9] .…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Induced Lightbeam Deflection in an Off-axis Geometry

Dreischuh

Kavaldjiev

Dinev

1995

Journal of Modern Optics

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“…The term elliptic solitary wave will be used from here on to describe an elliptical cross-section solitary wave. Further, adding to the difficulty in forming an elliptic solitary wave, it has been shown both experimentally [9,10,15] and theoretically [11][12][13] that the widths of the elliptic beam periodically oscillate, as would be expected from the general behaviour of beams for NLS-type equations.…”

Section: Introductionmentioning

confidence: 99%

Elliptical optical solitary waves in a finite nematic liquid crystal cell

Minzoni

Sciberras

Smyth

et al. 2015

Physica D: Nonlinear Phenomena

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The addition of orbital angular momentum has been previously shown to stabilise beams of elliptic cross-section. In this article the evolution of such elliptical beams is explored through the use of an approximate methodology based on modulation theory. An approximate method is used as the equations that govern the optical system have no known exact solitary wave solution. This study brings to light two distinct phases in the evolution of a beam carrying orbital angular momentum. The two phases are determined by the shedding of radiation in the form of mass loss and angular momentum loss. The first phase is dominated by the shedding of angular momentum loss through spiral waves. The second phase is dominated by diffractive radiation loss which drives the elliptical solitary wave to a steady state. In addition to modulation theory, the "chirp" variational method is also used to study this evolution. Due to the significant role radiation loss plays in the evolution of an elliptical solitary wave, an attempt is made to couple radiation loss to the chirp variational method. This attempt furthers understanding as to why radiation loss cannot be coupled to the chirp method. The basic reason for this is that there is no consistent manner to match the chirp trial function to the generated radiating waves which is uniformly valid in time. Finally, full numerical solutions of the governing equations are compared with solutions obtained using the various variational approximations, with the best agreement achieved with modulation theory due to its ability to include both mass and angular momentum loss to shed diffractive radiation.

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“…Eq. (12) implies that the critical collapse power of a Lorentz beam depends on the beam profile of the transverse distribution w 0x , w 0y and the nonlinear parameter n 2 of the medium. The power increases with the increasing asymmetry.…”

Section: Propagation Of a Lorentz Beam In A Kerr Mediummentioning

confidence: 99%

“…The Kerr medium has an intensity-dependent refractive index, n = n 0 + n 2 |E| 2 that is due to third order nonlinear response of the polarization to electric field of the beam or laser light. Recent works have studied the propagation of elliptic Gaussian beam [11] and beams with unequal transverse widths [12] in Kerr medium, as well as soliton propagation in Kerr [13] and non-Kerr law media [14]. We compute the spatial distribution of the Lorentz beam as it propagates through the nonlinear Kerr medium, including the critical power and collapse.…”

Section: Introductionmentioning

confidence: 99%