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2 Journal of Technical Physics

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Beam switching at a nonlinear-linear interface

Nasalski W.

Journal of Technical Physics

2000

Vol. 41, no 3

201-218

Reflection of a beam incident front a nonlinear Kerr medium at a nonlinear-linear dielectric interface is analysed for incidence close to the critical angle of total internal reflection. The problem is formulated and solved within the frame of a reduced variational technique. The solution obtained is interpreted in terms of aberrationless effects of nonlinear propagation and nonspecular effects of nonlinear reflection. A bistable switch in the reflected beam power, waist position and diameter, as well as in the beam ais direction, is demonstrated. A position of a bistable loop indicates that the nature of the switch is qualitatively different from that predicted by the plane wave analysis. It is shown that these differences result from self-focusing of the incident and reflected beams, their mutual cross-phase modulation and large nonspecular deformations of the reflected beam.

Wigner distribution function for propagation in a nonlinear Kerr medium

Nasalski W.

Journal of Technical Physics

1998

Vol. 39, no 1

105-114

Beam propagation in a nonlinear Kerr medium is considered within a frame of first-order nonlinear optics. An optical signal of cylindrical symmetry is described by its variance matrix of second-order moments. The beam propagation through the nonlinear sample is traced by a nonlinearly modified ray transfer matrix. The Wigner distribution function in a novel semi-linear analytic form is defined by use of booth these matrices in a scaled phase space. Numerical data pertaining to beam tracing at a self-trapping power level are given for initially chirped signals and for propagation distances that include self-collapse points.