A generalized three-dimensional nonlinear analysis of MMIC structures

This article examines the design and modeling of nonlinear microwave monolithic integrated circuits (MMICs). In order to examine the nonlinear response of a typical MMIC geometry, a nonlinear volume with finite dimensions perturbs the linear dielectric region of the geometry. Assuming a "weak" nonlinear condition, the Wiener-Volterra method is applied and the unknown excess polarization field inside the nonlinear region is expressed. Focusing the analysis at the intermediate frequency (IF frequency), the nonlinear term of the unknown electric field is derived by solving the basic integral equation for omega = omega(1) - omega(2). The kernel of this integral mainly consists of the independent solutions of the relevant linear problem at omega(1), omega(2) frequencies. Finally, a few simple geometries are examined and the relevant numerical results are computed and presented.