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Optics Letters

Induced phase modulation by noisy fields

Jamal T. Manassah

Published Sep 15, 1991• 5 citations
Publisher

Abstract

I compute the induced spectral distribution of a weak probe propagating in a Kerr medium in the presence of a copropagating noisy pump field. Gaussian and non-Gaussian Markovian pump fields, with equal second-order correlation functions, modify differently the spectral distribution of the probe. The autocorrelation function and the spectral distribution of the probe are evaluated as functions of the propagation distance in the nonlinear medium for different classes of incoherent pumps.

DOI
10.1364/ol.16.001379

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Journal of the Optical Society of America B•Jun 1, 1989•2 citations
I compute the induced spectral distribution of a weak probe propagating in a Kerr medium in the presence of a copropagating noisy pump field. Gaussian and non-Gaussian Markovian pump fields, with equal second-order correlation functions, modify differently the spectral distribution of the probe. The autocorrelation function and the spectral distribution of the probe are evaluated as functions of the propagation distance in the nonlinear medium for different classes of incoherent pumps.
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.
We identify and discuss nonlinear phase noise arising in Kerr self-phase modulation of a coherent light pulse propagating through an attenuating medium with third-order nonlinearity in a dispersion-free setting. This phenomenon, accompanying the standard unitary Kerr transformation of the optical field, is described with high accuracy as Gaussian phase diffusion with parameters given by closed expressions in terms of the system properties. We show that the irreversibility of the nonlinear phase noise ultimately limits the ability to transmit classical information in the phase variable over a lossy single-mode bosonic channel with Kerr-type nonlinearity. Our model can be also used to estimate the amount of squeezing attainable through self- phase modulation in a Kerr medium with distributed attenuation.
A probe field propagation in a medium of two-level Jg equals .5 yields Je equals .5 atoms, has been theoretically investigated. The atoms are pumped by a circular polarized optical field. An applied static magnetic field is orthogonal to the direction of the pump field propagation. The case of the pump is a coherent field and Gaussian- Markovian random process with a finite bandwidth of the noise have been analyzed. We have obtained that one of the normal waves can amplify in the absence of population inversion both for coherent and partially coherent pump. For the pump with a finite-bandwidth amplification occurs when the Larmor frequency and the Raby frequency of the pump are of the order of the pump linewidth, which was taken much broader than the natural width of the excited state.