6533b7defe1ef96bd1276874
RESEARCH PRODUCT
Shape Sensitivity Analysis and Gradient-Based Optimization of Large Structures Using MLFMA
Juhani KatajaSeppo JarvenpaaJukka I. ToivanenPasi Ylä-oijalaRaino A. E. Mäkinensubject
ta113DipoleParabolic reflectorGradient based algorithmMathematical analysisShape gradientSensitivity (control systems)Electrical and Electronic EngineeringElectric-field integral equationMultipole expansionAction (physics)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-11-01 | IEEE Transactions on Antennas and Propagation |