Parallel Fft-Accelerated Time-Domain Integral Equation Solvers for Electromagnetic Analysis
Yilmaz, Ali Ender
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https://hdl.handle.net/2142/80913
Description
Title
Parallel Fft-Accelerated Time-Domain Integral Equation Solvers for Electromagnetic Analysis
Author(s)
Yilmaz, Ali Ender
Issue Date
2005
Doctoral Committee Chair(s)
Eric Michielssen
Jin, Jianming
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Computer Science
Language
eng
Abstract
This dissertation presents a fast electromagnetic field-circuit simulator that permits the full-wave modeling of transients in microwave systems containing multiscale structures and nonlinear devices. This time-domain simulator is composed of two components: (i) a full-wave solver that models interactions of electromagnetic fields with conducting surfaces and finite dielectric volumes by solving time-domain surface and volume electric field integral equations, respectively, and (ii) a circuit solver that models currents and voltages in lumped circuits, which are potentially active and nonlinear, by solving Kirchoff's equations through modified nodal analysis. The simulator also supports multiport transfer-function blocks (macromodels), which model (lumped or distributed) linear, time-invariant, multi-input multi-output subsystems that are connected to ports modeled by either the full-wave solver or the circuit solver. These field and circuit analysis components are interfaced and the resulting coupled set of nonlinear equations is evolved in time by a multidimensional Newton-Raphson scheme. The solution procedure is accelerated by allocating field- and circuit-related computations across the processors of a distributed-memory cluster, which communicate using the message-passing interface standard. Furthermore, the electromagnetic field solver, whose demand for computational resources far outpaces that of the circuit solver, is accelerated by an FFT-based algorithm, viz. the time-domain adaptive integral method. The resulting parallel FFT-accelerated transient field-circuit simulator is used to (i) analyze electromagnetic scattering from large-scale structures, including an aircraft shell, (ii) characterize microwave circuits with nonlinear devices, including a power-combining array, and (iii) quantify system-level electromagnetic interference for systems with multiple scales of details, including an antenna array on a cockpit.
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