Modeling of processes for nonmonochromatic radiation in a ring interferometer with nonlinearity, delay, and diffusion

A generalized mathematical model is suggested and the method of slowly varying variables is used. It is shown that the approximation of large radiative losses in an interferometer is not equivalent to the single-pass approximation. It is suggested to construct bifurcation and instability charts for a clear understanding of the influence of physical factors on the dynamics. It is shown that the loss of monochromaticity significantly complicates the structure of these charts and reduces the regions of stable radiation passage. It is established that the radiation delay in the interferometer gives rise to the bifurcation of period doubling at a smaller nonlinearity parameter. Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 29–35, February, 2000.