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Optics Letters

Effect of carrier depletion on optical phase conjugation in a semiconductor laser amplifier

Senfar Wen, Sien Chi

Published Mar 15, 1995• 4 citations
Publisher

Abstract

The temporal effect of optical phase conjugation in a semiconductor laser amplifier is studied numerically. The conjugate pulse has distortion and frequency chirping owing to the carrier depletion induced by the signal pulse. Both the pulse-shape distortion and frequency chirping are enhanced as the signal power and the injection current increase. We can reduce these two effects by increasing the pump power to reduce the carrier-density depletion induced by the signal pulse.

DOI
10.1364/ol.20.000590

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Optical phase conjugation through nearly degenerate four-wave mixing (NDFWM) in semiconductor lasers has attracted considerable attention in recent years since being first demonstrated by Nakajima and Frey[ 1 ]. Such interest arises due to the very high conjugate reflectivity of order 30-40dB which can be achieved owing to the amplifying effect of the semiconductor gain medium and cavity enhancement of mixing process. However, most previous experimental and theoretical work has placed emphasis on the weak signal case, where the injection signal acts only as a small perturbation of free-running laser diode. It is only very recently that a theoretical analysis of NDFWM in a semiconductor laser subject to strong probe injection power has been presented[2].

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The temporal effect of optical phase conjugation in a semiconductor laser amplifier is studied numerically. The conjugate pulse has distortion and frequency chirping owing to the carrier depletion induced by the signal pulse. Both the pulse-shape distortion and frequency chirping are enhanced as the signal power and the injection current increase. We can reduce these two effects by increasing the pump power to reduce the carrier-density depletion induced by the signal pulse.
Nondegenerate four-wave mixing (FWM) of picosecond optical pulses in semiconductor optical amplifiers is investigated theoretically, taking into account various carrier processes, probe depletion, and cross-gain modulation effects. Analytical solutions for greatly simplified coupled-wave mixing equations are obtained from which conditions where probe depletion and cross-gain modulation effects cannot be neglected are found. On the other hand, the frequency detuning dependence of optimum input pump pulse energy and shaping of output conjugate pulses are observed from numerical simulations. In particular, calculations show that the frequency symmetry of conjugate and probe pulses with respect to the pump pulse does not hold for optical pulse FWM. Two-photon absorption and ultrafast nonlinear refraction effects are shown to decrease the FWM conversion efficiency.
The theory of phase conjugation in laser amplifiers by saturable-gain degenerate four-wave mixing with copolarized beams is developed for pulses of arbitrary temporal shape and duration in the limit of a weak signal beam. The influence of the input pulse’s characteristics (energy, temporal pulse shape, duration) on the phase-conjugate reflectivity and on the conjugate pulse shape is analyzed. A sharp instantaneous peak of phase-conjugate reflectivity is predicted at high intensities of the four-wave mixing beams. This effect is experimentally demonstrated at λ0 = 1064 nm in a Nd:YVO4 amplifier pumped by a cw Ti:sapphire laser. A transient peak reflectivity of R ∼ 50% is thus obtained, corresponding to an enhancement of 1.6× compared with the maximum steady-state reflectivity. The experimental results and the theoretical predictions are in good agreement.
Nearly degenerate four-wave mixing in Fabry-Perot laser diodes subject to strong probe injection power is investigated theoretically and experimentally. The measured reflectivity efficiencies of signal and conjugate waves demonstrate significantly different behaviors for strong signal injection power, compared to small probe injection power. Nearly uniform conversion efficiency of order 20 - 30 dB for frequency detuning up to 3 GHz is obtained at about 0.8 (mu) W launched probe power. These experimental measurements show good agreement with numerical simulations based on an advanced model taking into account the effects of pump depletion, carrier diffusion, gain saturation as well as gain compression.
Summary form only given. Optical phase conjugation through nearly degenerate four-wave mixing (NDFWM) in semiconductor lasers has attracted considerable attention since being first demonstrated by Nakajima and Frey (1985). Such interest arises due to the very high conjugate reflectivity of order 30-40 dB which can be achieved owing to the amplifying effect of the semiconductor gain medium and cavity enhancement of the mixing process. The paper is focused on an experimental study of NDFWM in a two-section single cavity Fabry-Perot (TSSC FP) laser diode for different probe injection powers. We present results on the conjugate reflectivity dependence of the frequency detuning subject to different injection power. It is shown that the conjugate reflectivity is dependent on optical probe injection into either section of a TSSC FP laser diode, injection power and bias current condition.
Optical phase conjugation through nearly degenerate four-wave mixing (NDFWM) in semiconductor lasers has attracted considerable attention in recent years since being first demonstrated by Nakajima and Frey[ 1 ]. Such interest arises due to the very high conjugate reflectivity of order 30-40dB which can be achieved owing to the amplifying effect of the semiconductor gain medium and cavity enhancement of mixing process. However, most previous experimental and theoretical work has placed emphasis on the weak signal case, where the injection signal acts only as a small perturbation of free-running laser diode. It is only very recently that a theoretical analysis of NDFWM in a semiconductor laser subject to strong probe injection power has been presented[2].