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Physical Review A

Effect of four-wave mixing on induced waveguiding

D. Bortman-Arbiv, A. D. Wilson‐Gordon, Harry Friedmann

Published Feb 11, 2000• 7 citations
Publisher

Abstract

We study the waveguiding induced in a weak probe propagating in a medium of two-level atoms driven by a copropagating strong 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. When the probe waist size is initially narrower than that of the pump, the probe adjusts its width after a short propagation distance, to that of the pump. We show that the effect of the weak beam, which is created during propagation by four-wave mixing, on the waveguiding of the probe, becomes important when the medium is optically thick. This suggests that the importance of four-wave mixing in modifying induced waveguiding should be considered in other waveguiding schemes.

DOI
10.1103/physreva.61.033806

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We study the waveguiding induced in a weak probe propagating in a medium of two-level atoms driven by a copropagating strong 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. When the probe waist size is initially narrower than that of the pump, the probe adjusts its width after a short propagation distance, to that of the pump. We show that the effect of the weak beam, which is created during propagation by four-wave mixing, on the waveguiding of the probe, becomes important when the medium is optically thick. This suggests that the importance of four-wave mixing in modifying induced waveguiding should be considered in other waveguiding schemes.
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.
We examine the effect of propagation on the resonance Rabi sideband of the four-wave mixing (FWM) spectrum, obtained when short temporally displaced pump and probe pulses interact with an optically thick medium of two-level atoms. We find that the dependence of the time-integrated FWM signal on the pump-probe delay is considerably altered by propagation. In particular, the logarithm of the FWM signal, for the case where the probe precedes the pump, deviates from linearity and may even increase over a range of values. An explanation is given in terms of the overlap of the pump envelope with the coherent response of the atomic system to the probe, both of which are modified on propagation.
We show that under suitable conditions, a weak nondegenerate probe may become spatially confined in a Doppler-broadened medium composed of two-level atoms due to the effect of a strong resonant copropagating pump beam. The induced spatial solitons result from the interplay of diffraction and induced focusing of the probe. Realistic conditions that include effects of probe absorption and pump reshaping on propagation are examined. In order to avoid absorption of the near-resonant probe, which would make the strong induced focusing unobservable, the unique properties of the dead zone are exploited.
The interaction of a strong nearly resonant cw pump laser and a weak cw probe laser in a medium consisting of two-level atoms was studied by numerical integration of the Maxwell-Bloch equations. With propagation into the optically thick medium, the numerically calculated probe gain spectrum deviates substantially from one calculated by a four-wave-mixing formulation of coupled-wave theory with an undepleted pump. For probe frequencies inside the modified gain region, the laser field, initially in an unstable steady-state condition, evolves to a stable solution of the sine-Gordon equation.
We show that under suitable conditions, a weak nondegenerate probe may become spatially confined in a Doppler-broadened medium composed of two-level atoms due to the effect of a strong resonant copropagating pump beam. The induced spatial solitons result from the interplay of diffraction and induced focusing of the probe. Realistic conditions that include effects of probe absorption and pump reshaping on propagation are examined. In order to avoid absorption of the near-resonant probe, which would make the strong induced focusing unobservable, the unique properties of the dead zone are exploited.