Bifurcation Analysis of Electrodynamic Systems Containing Nonlinear Semiconductor Microstructures with Negative Differential Conductivity

Mathematical simulation of nonlinear effects of frequency multiplication in a semiconductor microstructure with negative differential conductivity (SMNDC) and parametric amplification in an SMNDC with a traveling domain in a microwave strip cavity has been performed based on the solution of a nonlinear 3D diffraction problem. The conditions of occurrence of self-oscillations in the SMNDC depending on the bifurcation parameters (bias field strength and electron concentration in the SMNDC) have been analyzed proceeding from bifurcation points of the nonlinear Maxwell operator.