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Optics Letters

Induced superspike in an enhanced induced-phase-modulation two-dimensional nonlinear medium

Jamal T. Manassah

Published Apr 15, 1991• 18 citations
Publisher

Abstract

I show that a probe pulse that is copropagating in an enhanced induced-phase-modulation nonlinear two-dimensional medium in the presence of a pump may be transformed into an induced superspike in time and space. The conditions of this induced collapse are that the ratio of the probe and pump initial transverse dimension to the duration be equal to 1/[beta((2))k(probe)]((1/2)), that their group velocities be equal, that the pump energy be larger than a waveguiding critical value, and that the probe central frequency be in the group-velocity dispersion anomalous region.

DOI
10.1364/ol.16.000563

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Conference on Lasers and Electro-Optics•Aug 29, 2005•0 citations
I show that a probe pulse that is copropagating in an enhanced induced-phase-modulation nonlinear two-dimensional medium in the presence of a pump may be transformed into an induced superspike in time and space. The conditions of this induced collapse are that the ratio of the probe and pump initial transverse dimension to the duration be equal to 1/beta((2))k(probe), that their group velocities be equal, that the pump energy be larger than a waveguiding critical value, and that the probe central frequency be in the group-velocity dispersion anomalous region.
Absolute instabilities of counterpropagating pump beams in a dispersive Kerr medium, placed inside a Fabry–Perot cavity, are analytically studied by use of the analysis and the results of part I [J. Opt. Soc. B14, 607 (1998)]. Our approach allows characterization of such a complicated nonlinear system in terms of a doubly resonant optical parametric oscillator. We consider the growth of modulation-instability sidebands associated with each pump beam when weak probe signals are injected through one of the mirrors of the Fabry–Perot cavity. The results are used to obtain the threshold condition for the onset of the absolute instability and the growth rate for the unstable sidebands in the above-threshold regime. As expected, the well-known Ikeda instability is recovered at low modulation frequencies. The effects of the group-velocity dispersion are found to become quite important at high modulation frequencies. Although the absolute instability dominates in the anomalous-dispersion regime, it exists even in the normal-dispersion regime of the nonlinear medium. Below the instability threshold, our analysis provides analytic expressions for the probe transmittivity and the reflectivity of the phase-conjugated signal that is generated through a four-wave-mixing process.
The temporal envelope profile and the phase of a steady-state pulse propagating through a resonant medium in the presence of nonresonant nonlinearity are derived. The formation of solitonlike pulses takes place as a result of the balance of the self-phase modulation generated by nonresonant nonlinearity and the nonlinear resonant group-velocity dispersion induced by the self-induced-transparency effect in a resonant medium. Self-phase-modulation action leads to distortion of the pulse when its power and inverse duration exceed the critical values Pcr and τcr-1. We show the destructive role of self-phase modulation in the case of self-induced-transparency pulse generation in a laser with erbium-doped fiber as an intracavity coherent absorber.
Summary form only given. We investigate the waveguiding induced in a weak probe propagating in a medium of two-level atoms driven by a copropagating, intense, strongly detuned pump. We show that when the transverse profile of the pump exhibits solitonlike oscillations, similar oscillations can be induced in the transverse profile of the probe. The pump acts as a spatial soliton in the sense that its transverse intensity profile displays oscillating spatial behavior due to the interplay of self-focusing and diffraction. This work suggests that the importance of four-wave mixing in modifying induced waveguiding should be considered in other waveguiding schemes. The potential of phase control in manipulating the properties of propagating laser light in a sophisticated way is emphasized.