Title :
Shape Sensitivity Analysis and Gradient-Based Optimization of Large Structures Using MLFMA
Author :
Kataja, Juhani ; Jarvenpaa, Seppo ; Toivanen, Jukka I. ; Makinen, Raino A. E. ; Yla-Oijala, Pasi
Author_Institution :
Dept. of Radio Sience & Eng., Aalto Univ., Aalto, Finland
Abstract :
A fast method for computing the action of shape-differentiated electric field integral equation (EFIE) system matrix to a vector is derived exploiting the multilevel fast multipole algorithm (MLFMA). The proposed method is used in conjunction with the adjoint-variable method (AVM) to compute the shape gradient of arbitrary objective functions depending on shape of a metallic scatterer. The method is demonstrated numerically by optimizing the shape of a parabolic reflector illuminated with a half-wave dipole.
Keywords :
antenna theory; electric field integral equations; gradient methods; matrix algebra; reflector antennas; sensitivity analysis; 3D antenna structure; AVM; EFIE system matrix; MLFMA; adjoint-variable method; arbitrary objective functions; gradient-based optimization; half-wave dipole; large structures; metallic scatterer; multilevel fast multipole algorithm; parabolic reflector antenna; shape gradient; shape sensitivity analysis; shape-differentiated electric field integral equation; Approximation methods; Dipole antennas; Equations; Linear programming; Optimization; Shape; Vectors; EFIE; Shape sensitivity; fast multipole method; reflector antenna; shape derivative; shape optimization;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2014.2347394
