Title :
Analytical Adjoint Sensitivity Formula for the Scattering Parameters of Metallic Structures
Author :
Dadash, M. Sadegh ; Nikolova, Natalia K. ; Bandler, John W.
Author_Institution :
Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, ON, Canada
Abstract :
A novel sensitivity-analysis method is proposed to compute the S-parameter Jacobian with respect to metallic shape parameters. The formulation is analytical and is derived from Maxwell´s equations directly. It is independent of the field solution method and the respective system matrix. It requires only the field solution on the object surface. The computation is a post-process and its overhead is negligible in comparison with a full-wave simulation. The method provides exact sensitivities. It is validated by the sensitivity analysis of microwave structures where the field solution is provided by commercial solvers based on the finite-element method, the method of moments, and the finite-difference time-domain method.
Keywords :
Jacobian matrices; Maxwell equations; S-parameters; finite difference time-domain analysis; finite element analysis; method of moments; microwave propagation; sensitivity analysis; Maxwell equations; S-parameter Jacobian; field solution method; finite-difference time-domain method; finite-element method; full-wave simulation; metallic shape parameters; method of moments; microwave structures; object surface; scattering parameters; sensitivity-analysis method; Dielectrics; Mathematical model; Permittivity; Sensitivity; Shape; Transmission line matrix methods; Vectors; Adjoint-variable method; computer-aided design (CAD); finite-difference method; finite-difference time-domain (FDTD) method; finite-element method (FEM); method of moments (MoM); response Jacobians; sensitivity analysis;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2012.2205937
