Abstract

The stability of hysteretic cyclotron resonance, subharmonic optical excitation, and biharmonic optical cyclo-Raman resonances of a single electron is analyzed. A simple criterion of small-perturbation stability is derived whereby for the main resonance and subharmonic resonances those states are stable for which the derivative of the electron energy with respect to driving intensity is positive and vice versa. For the cyclo-Raman resonances in the absence of isolated states (the so-called isolas) the stability criterion is the same, whereas in the presence of the isolas it is reversed above the point of self-crossing in each isola. We also explored the behavior of the system in-large, using phase portraits and demonstrated existence of corridors of attraction as well as phase multistability in subharmonics and higher-order cyclo-Raman excitation.

© 1989 Optical Society of America

Full Article  |  PDF Article
More Like This
Isolas in the three-photon optical excitation of a single cyclotron electron

Y. J. Ding and A. E. Kaplan
Opt. Lett. 12(9) 699-701 (1987)

Optical multistability in sodium: analysis of a theoretical model

Xiao-Guang Wu
J. Opt. Soc. Am. B 6(1) 66-73 (1989)

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 Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica 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 Optica member, or as an authorized user of your institution.

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

Figures (6)

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

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

Equations (26)

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

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

Metrics