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

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