Abstract

We show that two linearly polarized counterpropagating waves in a Kerr nonlinear medium with linear dispersion can exhibit multimode temporal instability. We find the boundary of the unstable regime and demonstrate that the fully developed instability results in self-sustained oscillations and the onset of chaos.

© 1989 Optical Society of America

Dispersion-related multimode instabilities and self-sustained oscillations in nonlinear counterpropagating waves: erratum

C. T. Law and A. E. Kaplan
Opt. Lett. 14(22) 1290-1290 (1989)

Instabilities and amplification of counterpropagating waves in a Kerr nonlinear medium

C. T. Law and A. E. Kaplan
J. Opt. Soc. Am. B 8(1) 58-67 (1991)

Dispersion-related amplification in a nonlinear fiber pumped by counterpropagating waves

C. T. Law and A. E. Kaplan
Opt. Lett. 16(7) 461-463 (1991)

Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. I. Theoretical model and analysis

M. Yu, C. J. McKinstrie, and Govind P. Agrawal
J. Opt. Soc. Am. B 15(2) 607-616 (1998)

Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. II. Application to Fabry–Perot cavities

M. Yu, C. J. McKinstrie, and Govind P. Agrawal
J. Opt. Soc. Am. B 15(2) 617-624 (1998)