A theory of four-wave mixing in semiconductor laser media is developed by considering the contributions of both the gain and index gratings created by the carrier-density modulation occurring at the beat frequency of the pump and the probe waves. The general formalism can be applied to semiconductor lasers operating below or above threshold. As an illustration, we consider the case in which the semiconductor laser is operated as a traveling-wave amplifier. The results show that the dominant contribution to the four-wave mixing process comes from the index grating. Further, the index grating makes the probe transmission asymmetric with respect to the pump–probe detuning.
© 1987 Optical Society of America
Original Manuscript: October 21, 1986
Manuscript Accepted: January 14, 1987
Published: April 1, 1987
Govind P. Agrawal, "Four-wave mixing and phase conjugation in semiconductor laser media," Opt. Lett. 12, 260-262 (1987)