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Conference on Lasers and Electro-Optics

Atomic coherence-state phase conjugation in optical coherent transients

Zachary Cole, K.D. Merkel, William Randall Babbitt

Published Jan 1, 2000• 0 citations
Publisher

Abstract

Summary form only given. Time-domain four- and six-wave mixing has been demonstrated as an important input scheme for proposed spatial-spectral holographic processing devices. Optimizing the design of these devices requires an understanding of the optical coherent transient phenomena resulting from time-domain wave mixing. In this paper, we show that a particular set of six-wave mixing signals can be directly related to the coherence-state pathways of time-domain four-wave mixing.

DOI
10.1109/cleo.2000.906734

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We explore dynamic media, such as plasmas and photorefractive materials, as generators of phase conjugated replicas of transient optical signals via four-wave mixing. The characterizing element of dynamic media is a population of free charge carriers that leads to induced charge density gratings on probe illumination. In steady-state conditions, phase conjugation in such media normally appears with smaller pump intensities than are required in Kerr media but at the expense of potentially slow response times.1

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Summary form only given. Time-domain four- and six-wave mixing has been demonstrated as an important input scheme for proposed spatial-spectral holographic processing devices. Optimizing the design of these devices requires an understanding of the optical coherent transient phenomena resulting from time-domain wave mixing. In this paper, we show that a particular set of six-wave mixing signals can be directly related to the coherence-state pathways of time-domain four-wave mixing.
Using phase control between four-wave mixing (FWM) and six-wave mixing (SWM) channels in a four-level atomic system, we demonstrate temporal and spatial interferences between these two nonlinear optical processes. Efficient and coexisting FWM and SWM signals are produced in the same electromagnetically induced transparency window via atomic coherence. The temporal interference has a femtosecond time scale corresponding to the optical transition frequency. Such studies of intermixing between different order nonlinear optical processes with a controllable phase delay can have important applications in high-precision measurements, coherence quantum control, and quantum information processing.
We describe an experiment in phase conjugation using holographic degenerate four-wave mixing with picosecond pulses. Spatial and temporal distortions are simultaneously introduced on the probe beam, respectively, by a ground glass and a Gires-Tournois interferometer. We experimentally show that after it recrosses the ground glass we obtain a time reversed pulse on the reconstructed beam. Its temporal shape is the same as that without the ground glass. We theoretically discuss this result and show that in our configuration the temporal effect depends only on the hologram dimension parallel to the direction of propagation of the beam, while the spatial phase conjugation is related to the dimensions in the perpendicular plane.
Summary form only given. In this tallk I will try to supplement what I learned in the field. Here are the topics to be touched on. The order is not historical, but serves a tutorial purpose. 1. Time reversibility (TR) of optical wave propagation. 2. Mathematical description of TR in terms of complex amplitudes and complex conjugate amplitudes. 3. Static holography by real and conjugate images. 4.Static holography: illumination by counterpropagating reference waves at the recording and reconstruction stages. 5. Dynamic holography/four-wave mixing for phase conjugation (R. Hellwarth, A. Yariv, Yariv-Pepper instability. 6. Delayed and hidden holograms, photon echoes, electro-acoustic echoes. 7. Two-photon coherence, fast nonlinearities and three-wave mixing via X(2) nonlinearity. 8. Yet unrealized: Bragg (periodic domain). Time-domain phase conjugation: reversal of chirp and compensation of the dispersion spread in fibers. 10. Why a laser may (and may not) oscillate at a single transverse mode: discrimination of gain/loss. 11. Phase conjugation via stimulated Brillouin scattering (V.V. Ragulsky; V.V. Shkunov). 12. Brillouin-enhanced four-wave mixing for phase conjugation, ten to the tenth power amplification of the image (G.A. Pasmanik). 13. Photorefractive crystals: nonlinear response at low intensity at a cost of long build-up time. 14. Double phase conjugation 15. Feinberg's cat and cat conjugator.
We explore dynamic media, such as plasmas and photorefractive materials, as generators of phase conjugated replicas of transient optical signals via four-wave mixing. The characterizing element of dynamic media is a population of free charge carriers that leads to induced charge density gratings on probe illumination. In steady-state conditions, phase conjugation in such media normally appears with smaller pump intensities than are required in Kerr media but at the expense of potentially slow response times.1