Abstract

The nonlinear behavior of the deterministic equations that describe the optical feedback system is investigated. An analytic expression for the amplitude of the self-pulsations that occur when the relaxation oscillations (RO’s) become undamped is derived and compared with numerical results. For small amplitudes a square-root law, which is typical for Hopf bifurcations, is found. For increased feedback levels a second Hopf bifurcation occurs, and a frequency related to the second type of RO predicted by the small-signal analysis of part I [ J. Opt. Soc. Am. B 10, 130 ( 1993)] emerges. Frequency-locked and quasi-periodic solutions arise. The occurrence of a third frequency is a precursor of chaotic motion. The transition to chaos is determined by a switching between two unstable attractors.

© 1993 Optical Society of America

Full Article  |  PDF Article

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (12)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (59)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription