Feasible adjoint sensitivity technique for EM design optimization

The adjoint variable method for frequency domain design sensitivity analysis is proposed for the optimization of wire and printed structures analyzed by the Method of Moments (MoM). We focus on the construction of the adjoint system using a feasible technique which requires only minor modifications of existing MoM codes. The solution to the adjoint problem is obtained with very little overhead once the original problem is solved. The gradient of the objective function is consequently computed through a single analysis regardless of the number of the design parameters. The concept is illustrated through the design of a Yagi-Uda array and a rectangular patch antenna using suitable MoM simulators.

[1]  Rakesh Chadha,et al.  Computer Aided Design of Microwave Circuits , 1978 .

[2]  V. A. Monaco,et al.  Network sensitivities in terms of scattering parameters , 1971 .

[3]  John W. Bandler,et al.  Computer-Aided Tolerance Optimization Applied to Microwave Circuits , 1974 .

[4]  R. Vahldieck,et al.  Optimization of microwave circuits using analytically calculated gradients in the finite element method , 2000, 2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017).

[5]  Tatsuo Itoh,et al.  A systematic optimum design of waveguide-to-microstrip transition , 1997 .

[6]  Jon P. Webb.  Design sensitivity of frequency response in 3-D finite-element analysis of microwave devices , 2002 .

[7]  M. Mongiardo,et al.  New efficient full wave optimization of microwave circuits by the adjoint network method , 1993, IEEE Microwave and Guided Wave Letters.

[8]  S. Amari.  Numerical cost of gradient computation within the method of moments and its reduction by means of a novel boundary-layer concept , 2001, 2001 IEEE MTT-S International Microwave Sympsoium Digest (Cat. No.01CH37157).

[9]  R. Rohrer.  The Generalized Adjoint Network and Network Sensitivities , 1969 .

[10]  Jon P. Webb,et al.  Design sensitivities for scattering-matrix calculation with tetrahedral edge elements , 2000 .

[11]  John W. Bandler,et al.  FAST gradient based yield optimization of nonlinear circuits , 1990 .

[12]  Paolo Tiberio,et al.  Computer-Aided Analysis of Microwave Circuits , 1974 .

[13]  John W. Bandler,et al.  Current Trends in Network Optimization , 1970 .

[14]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[15]  John W. Bandler,et al.  Wave Sensitivities of Networks , 1972 .

[16]  Kishore Singhal,et al.  Computer Methods for Circuit Analysis and Design , 1983 .