Abstract

The rate equations derived by Roy et al.¹ to describe the behavior of an Nd:YAG laser with intracavity KTP frequency-doubling crystal are studied analytically and numerically in order to classify the various dynamical behaviors that are observed experimentally and/or found numerically. These equations, which include the process of sum–frequency generation, predict that the steady-state intensities will be destabilized by a Hopf bifurcation leading to periodic solutions.² These periodic solutions have been observed by Wiesenfeld et al.³ and they display antiphase dynamics (AD). In its simplest form, antiphase dynamics for N modes is a state in which all modes have the same periodic intensity save for a phase-shift equal to the period divided by N. Our results can be summarized as follows.

© 1994 IEEE