Complex neural fields with a Hopfield-like energy function and an analogy to optical fields generated in phase-conjugate resonators
Mitsuo Wada Takeda, Takaaki Kishigami · Journal of the Optical Society of America A · 1992
A complex phase-conjugate neural network model with a Hopfield-like energy function has been proposed, and a physical interpretation is given to its dynamics. Unlike Noest’s phasor neuron model with a fixed amplitude, the complex neural fields of the proposed model can change both the amplitude and the phase, and their dynamics has a close analogy with the dynamics of self-oscillation generated in a phase-conjugate resonator. From the analysis of the dynamics, it was found that the optical-gain medium should have a phase-conjugate property in order for the generated complex optical fields to have an energy function that decreases monotonically with the time evolution of the fields. The results of experiments and computer simulations are presented that demonstrate the behaviors of the complex neural fields that are predicted by the theory.