A new theoretical approach for the study of the influence of diffraction on Ikeda instability in the Kerr-type nonlinear ring cavity is proposed. The simplicity of this model allows for a complete analytical study of transverse modulational instability in the period-2 regime of the cavity. In particular the emergence of stationary spatial dissipative structures in the profile of the period-doubled transmitted beam is predicted.
© 1992 Optical Society of America
Original Manuscript: January 23, 1992
Published: June 1, 1992
M. Haelterman, "Period-doubling bifurcations and modulational instability in the nonlinear ring cavity: an analytical study," Opt. Lett. 17, 792-794 (1992)