Analytical Adjoint Sensitivity Formula for the Scattering Parameters of Metallic Structures

• Published in: IEEE transactions on microwave theory and techniques Vol. 60; no. 9; pp. 2713 - 2722
• Main Authors: Dadash, M. S., Nikolova, N. K., Bandler, J. W.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.2012; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adjoint-variable method; Applied classical electromagnetism; computer-aided design (CAD); Dielectrics; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Exact sciences and technology; Finite difference method; finite-difference time-domain (FDTD) method; finite-element method (FEM); Fundamental areas of phenomenology (including applications); Jacobians; Mathematical analysis; Mathematical model; Mathematical models; Maxwell's equations; method of moments (MoM); Microwaves; Permittivity; Physics; response Jacobians; Sensitivity; Sensitivity analysis; Shape; Solvers; Transmission line matrix methods; Vectors; finite-difference method; Sensitivity analysis; Circuit design; Moments method; S-parameters; Finite difference time-domain analysis; method of moments (MoM); Numerical method; Jacobi matrix; Maxwell equations; response Jacobians; Optimization; Finite element method; Adjoint-variable method; Simulation; computer-aided design (CAD); finite-difference time-domain (FDTD) method; Computer aided design; Comparative study; finite-element method (FEM); Finite difference method
• ISSN: 0018-9480; 1557-9670
• DOI: 10.1109/TMTT.2012.2205937

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.