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The Review of Laser Engineering

Transients and self-conservation pulse propagation effect in dual-wave-front phase-conjugate four-wave mixing.

Naohiro Tanno, Hiromasa KAN-NO

Published Jan 1, 1987• 0 citations
Publisher

Abstract

This paper describes time evolution of an incident probe pulse in degenerate four-wave mixing with dualwave-front generation. It is shown that the incident pulse transmission results inself-conservation propagation without loss and pulse-form-change. Theoretical analysis is given by parametric propagation equations as a function of space-time. Their transient solutions reveal that interesting propagation effect which is confirmed by the experimental observation using a dye-laser and Na-vapor system.

DOI
10.2184/lsj.15.699

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This paper describes time evolution of an incident probe pulse in degenerate four-wave mixing with dualwave-front generation. It is shown that the incident pulse transmission results inself-conservation propagation without loss and pulse-form-change. Theoretical analysis is given by parametric propagation equations as a function of space-time. Their transient solutions reveal that interesting propagation effect which is confirmed by the experimental observation using a dye-laser and Na-vapor system.
This paper presents a novel aspect of dual-wave-front generation by degenerate four-wave mixing. The dual-wave-front generation referres to simultaneous generation of phase-conjugate and nonconjugate wave-front for a given probe beam, due to the third-order nonlinear polarization. The characteristics of dual-wave-front generation is theoretically studied and is experimentally confirmed using a dye-laser and Na-vapor system. It is also shown that an interesting forward phase-conjugate wave is observed by using a character-pattern in the experiment.
Transient phase conjugation by degenerate four-wave mixing in saturable dyes is investigated theoretically and experimentally. Two special cases are examined: (1) the case in which two pump waves and a probe wave are simultaneously turned on and (2) the case in which the pump waves are turned on well before the incidence of the probe wave. For case (1) a peak appears in the transient reflectivity for high pump intensity, while for case (2) the reflectivity increases monotonically with time up to the steady-state value irrespective of the value of the pump intensity.
We show that four-wave mixing in optically dense media is very different than in an optically thin medium. In time-resolved degenerate four-wave mixing we experimentally observe ``negative'' time delay response, fast decay rates at short delay times, and broad shoulders at long delays. The observations are explained very well in terms of pulse propagation effects, and a theoretical framework is presented for the analysis of the nonlinear interaction. We treat both the incident and generated fields self-consistently, and solve for the interaction of short pulses with a resonantly absorbing medium. The implications for the extraction of relaxation rates from four-wave-mixing experiments involving ultrashort pulses in optically dense matter are discussed.
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.
Four wave mixing, a third-order optical parametric process, is the nonlinear optical process in which four waves interact with each other through the third-order optical nonlinearity. In this process, three waves form a nonlinear polarization at the frequency of the fourth wave. An important application of degenerate four wave mixing is the generation of phase conjugate wave or simply the phase conjugation. The phase conjugate wave has the same wavefront as the incident wave; however, it propagates backward. The phase conjugation is equivalent to the time reversal. Straightforward application of the time reversal is the correction of phase aberration. Suppose that, the incident wave propagates in the nonuniform medium, such as a laser amplifier, where the temperature is fluctuated by intense pumping. Then, the incident wave suffers severe phase aberration during the propagation and the transmitted wave is then reflected by the phase conjugate mirror and goes back into the same nonuniform medium.