Analysis of mutually incoherent beam coupling in BaTiO_3

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Abstract
When two mutually incoherent light beams are used as simultaneous inputs to a crystal of BaTiO3, a spontaneously generated loop of light is created that provides a coupling mechanism between the two input beams, resulting in two phase-conjugate outputs. This behavior is discussed, and the phase-conjugate reflectivities are presented as a function of the ratio of input-beam intensities. A simple theory is developed to describe this phenomenon, and the predictions are compared with experimental data.