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Adjoint higher order sensitivities for fast full-wave optimization of microwave filters

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3 Author(s)
Sabbagh, M.A.E. ; Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont. ; Bakr, M.H. ; Bandler, J.W.

For the first time, full-wave optimization exploiting adjoint Hessian matrices is applied to the design of microwave filters and transitions. The first- and second-order sensitivities of the scattering parameters are computed analytically using the adjoint network method (ANM). The mode-matching-based ANM is applied to the generalized scattering matrices of the different filter/transition components. Analytical gradient and Hessian matrices of differentiable objective functions are expressed in terms of the first- and second-order response adjoint sensitivities. Optimization techniques exploiting second-order information such as the Levenberg-Marquardt method are applied using the adjoint first- and second-order information. Significant acceleration is achieved using these techniques over gradient-based optimization techniques such as the Broyden-Fletcher-Goldfarb-Shanno method. The adjoint-based sensitivities are also exploited in efficient tolerance analysis of microwave filters

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:54 ,  Issue: 8 )