A state-variable-based approach to the impulse response and convolution analysis of distributed microwave circuits is developed. The state-variable approach minimizes computation time and memory requirements. It allows the use of parameterized nonlinear device models, thus improving robustness. Soliton generation on a nonlinear transmission line is considered as an example.
Abstract-The first fully coupled electromagneticelectro-thermal global simulation of a large microwave subsystem, here a whole spatial power combining MMIC array, is described. The modeling effort is supported by parallel developments in electro-optic and thermal measurement. The CAD tools and experimental characterisation described, provide a unique capability for the design of quasi-optical systems and for the exploration of the fundamental physics of spatial power combining devices.
Electric Green's dyadics for a serni-infinite partially filled rectangular waveguide are developed for the full-wave analysis of a waveguide-based aperture-coupled patch aniplifier array. The Green's functions are derived in the form of a double series expansion over tlie coniplct,e systcm of cigenfuiict,ioiis of the Helmholtz operator. In this represcnliLf.ioii, tlic oii~-diiirc,ision~,l clmract.cristic Green's functions along the waveguide provide a physical iiiaight on rebonance and surface wave effects occurring in overrnoded layercd waveguide transitions. Particularly, this is related to the coupling of waveguide modes to surface waves propagating in the transverse direction. This is demonstrated for the example of an aperture-coupled patch amplifier array in the N-port waveguide transition, although the analysis is applicahle to other waveguide-based antenna structures, which allow for the propagation of surface waves.
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