We have modeled the response of a nonlinear periodic structure by means of the Abelés 2×2 matrix method. Our structure differs from the usual rejection‐band filter designs, in that we have chosen the filter elements to be index matched in the absence of radiation, providing a rejection band that both grows and shifts as a function of incident intensity. The intensity output function of the model not only directly demonstrates optical bistability, but also limiting, switching, self‐pulsing, and chaos.
Gohman, P. A.,
& Spry, R. J.
(1990). Theoretical Intensity-Dependent Response of Nonlinear Periodic Structures. Journal of Applied Physics, 67 (1), 40-44.