Accelerated gradient based optimization using adjoint sensitivities

• Published in: IEEE transactions on antennas and propagation 2004-08, Vol.52 (8), p.2147-2157
• Main Authors: Nikolova, N.K., Safian, R., Soliman, E.A., Bakr, M.H., Bandler, J.W.
• Format: Article
• Language: English
• Subjects: Acceleration; Adjoints; Algorithm design and analysis; Antennas; Associate members; Boundaries; Computational efficiency; Derivatives; Design engineering; Design methodology; Frequency domain analysis; Integral equations; Linear systems; Moment methods; Sensitivity analysis; Solvers; Systems analysis; Transmission line matrix methods
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2004.832313

An electromagnetic feasible adjoint sensitivity technique (EM-FAST) has been proposed recently for use with frequency-domain solvers . It makes the implementation of the adjoint variable approach to design sensitivity analysis straightforward while preserving the accuracy at a level comparable to that of the exact sensitivities. The overhead computations associated with the estimation of the sensitivities in addition to the system analysis are due largely to the calculation of the derivatives of the system matrix. Here, we describe the integration of the EM-FAST with two methods for accelerated estimation of these derivatives: the boundary-layer concept and the Broyden update. We show that the Broyden update approach (Broyden-FAST) leads to an algorithm whose efficiency is problem independent and allows the computation of the response and its gradient through a single system analysis with practically no overhead. Both approaches are illustrated through the design of simple antennas using method of moments solvers.