IEEE Transactions on Microwave Theory and Techniques · 2013 · 108 citations · 18 references
ComputingComputational EngineeringElectrical EngineeringComputational ElectromagneticsMicrowave EngineeringUncertainty QuantificationDevice ModelingFinite Difference MethodsFinite Difference Time Domain AnalysisMicrowave Device SimulationMicrowave Network AnalysisPolynomial Chaos ExpansionsFinite Difference Time Domain For Microwave CircuitsFinite Difference Time Domain ModelingFinite Difference Time Domain SimulationGeneralized Polynomial ChaosMicrostrip Circuit AnalysisMicrostrip Circuit ModelingMicrowave Circuit ModelingMicrowave Circuit Simulation
The authors develop a novel FDTD‑based method to analyze 3‑D microwave circuits with uncertain parameters arising from manufacturing variability in physical dimensions and geometry. The method incorporates geometrical variation by parameterizing and distorting the computational lattices, then expands the time‑domain electric and magnetic fields using generalized polynomial chaos basis functions of the uncertain mesh parameters, and is validated on microstrip circuits. The resulting S‑parameters match Monte Carlo statistics over 0–25 GHz and the approach yields a substantial computational speed‑up compared with Monte Carlo simulation.
A novel finite-difference time-domain (FDTD)-based method is developed to analyze 3-D microwave circuits with uncertain parameters, such as variability and tolerances in the physical dimensions and geometry introduced by manufacturing processes. The proposed method incorporates geometrical variation into the FDTD algorithm by appropriately parameterizing and distorting the rectilinear and curvilinear computational lattices. Generalized polynomial chaos is used to expand the time-domain electric and magnetic fields in terms of orthogonal polynomial chaos basis functions of the uncertain mesh parameters. The technique is validated by modeling several microstrip circuits with uncertain physical dimensions and geometry. The computed S-parameters are compared against Monte Carlo simulations, and good agreement for the statistics is observed over 0-25 GHz. A considerable computational advantage over the Monte Carlo method is also achieved.
18
David M. Sheen, Syed Mustafa Ali, Mohamed Abouzahra et al. · IEEE Transactions on Microwave Theory and Techniques · 1990 · 633 citations