Title :
An AVM technique for 3-D TLM with symmetric condensed nodes
Author :
Basl, Peter A W ; Bakr, Mohamed H. ; Nikolova, Natalia K.
Author_Institution :
Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada
Abstract :
We demonstrate, for the first time, the feasibility of the adjoint variable method (AVM) in three-dimensional (3-D) time-domain transmission-line modeling (TLM). Using only two 3-D simulations of the original and adjoint problems, the sensitivities of the objective function with respect to all design parameters are estimated. The AVM approach is applied to both perfectly conducting and dielectric discontinuities. Analytical derivatives of the symmetric condensed node (SCN) scattering matrix are utilized in the case of dielectric discontinuities to derive a semi-analytical adjoint system. Our approach is illustrated with waveguide discontinuities.
Keywords :
S-matrix theory; sensitivity analysis; time-domain analysis; transmission line theory; waveguide discontinuities; 3D time-domain transmission-line modeling; SCN scattering matrix; adjoint variable method; conducting discontinuities; dielectric discontinuities; electromagnetic modeling; semi-analytical adjoint system; sensitivity analysis; symmetric condensed node; symmetric condensed nodes; Dielectrics; Electromagnetic modeling; Electromagnetic scattering; Parameter estimation; Symmetric matrices; Time domain analysis; Transmission line discontinuities; Transmission line matrix methods; Transmission lines; Wideband; Computer-aided design (CAD); electromagnetic modeling; sensitivity analysis; transmission-line modeling (TLM);
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2005.856696