Title :
Efficient electromagnetic optimization using self-adjoint Jacobian computation based on a central-node FDFD method
Author :
Zhu, Xiaying ; Hasib, Arshad ; Nikolova, Natalia K. ; Bakr, Mohamed H.
Author_Institution :
Department of Electrical and Computer Engineering, McMaster University, Hamilton, ON L8S 4K1, CANADA
Abstract :
We propose a sensitivity solver for frequency-domain analysis engines based on volume methods such as the finite-element method. Our sensitivity solver computes S-parameter Jacobians directly from the field solution available from the electromagnetic simulation. The computational overhead is a fraction of that of the simulation itself. It is independent from the simulatorpsilas grid, system equations and discretization method. It uses its own finite-difference grid and a sensitivity formula based on the frequency-domain finite-difference (FDFD) equation for the electric field. It computes the S-parameter gradients in the design parameter space through a self-adjoint formulation which eliminates adjoint system analyses and greatly simplifies implementation. We use our sensitivity solver in gradient-based optimization of filters. We achieve drastic reduction of the time required by the overall optimization process. All examples use a commercial finite-element simulator.
Keywords :
Jacobian matrices; S-parameters; finite difference methods; finite element analysis; finite volume methods; optimisation; S-parameter Jacobians; central-node FDFD method; design parameter space; discretization method; electromagnetic optimization; finite-difference grid; finite-element method; frequency-domain analysis; frequency-domain finite-difference equation; self-adjoint Jacobian computation; self-adjoint formulation; sensitivity solver; simulator grid; volume methods; Computational modeling; Electromagnetic fields; Engines; Equations; Finite difference methods; Finite element methods; Frequency domain analysis; Jacobian matrices; Optimization methods; Scattering parameters; Sensitivity analysis; computer-aided design; filter design; finite-difference method; finite-element method; gradient-based optimization; response Jacobians;
Conference_Titel :
Microwave Symposium Digest, 2008 IEEE MTT-S International
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-1780-3
Electronic_ISBN :
0149-645X
DOI :
10.1109/MWSYM.2008.4632998