Resonance in Layered Bragg Structures with Nonlinear Elements

Abstract

The Bragg structures with nonlinear lumped elements and layers
with Kerr nonlinearity are considered. The pseudoinverse method for calculation the field at boundaries of the structures has been proposed. This method is the combination of the transmission matrix method and the Jacobi iterative procedure.
This approximate numerical method takes into account changing the field amplitude on the thickness of the nonlinear layer.
The sufficient accuracy of proposed method can be achieved
by increasing the number of sublayers decomposition of the
nonlinear resonance layers.
The values of the amplitude of the transmitted wave for Bragg structures with lumped elements have been calculated as a function of frequency for different values of the incident wave amplitude.
The resonance frequency shift and width of the hysteresis
loops against the position of parallel connection of lumped
susceptance have been investigated.