Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Computing minimal surfaces via level set curvature flow
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Structural boundary design via level set and immersed interface methods
Journal of Computational Physics
Field Computation by Moment Methods
Field Computation by Moment Methods
Etude de Problème d'Optimal Design
Proceedings of the 7th IFIP Conference on Optimization Techniques: Modeling and Optimization in the Service of Man, Part 2
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
Antenna Theory: Analysis and Design
Antenna Theory: Analysis and Design
An extended level set method for shape and topology optimization
Journal of Computational Physics
A variational level set approach for surface area minimization of triply-periodic surfaces
Journal of Computational Physics
A variational level set method for the topology optimization of steady-state Navier-Stokes flow
Journal of Computational Physics
Reconstruction of shapes and impedance functions using few far-field measurements
Journal of Computational Physics
Phase field method to optimize dielectric devices for electromagnetic wave propagation
Journal of Computational Physics
Topological nano-aperture configuration by structural optimization based on the phase field method
Structural and Multidisciplinary Optimization
A survey of structural and multidisciplinary continuum topology optimization: post 2000
Structural and Multidisciplinary Optimization
Hi-index | 31.45 |
This paper presents a level-set framework for a typical electromagnetic design problem of dipole antenna. In this study, the geometrical configuration of an antenna is represented by the zero-level contour of a higher-dimensional level-set function. The governing equation for the induced current flow on a metal surface is the Electric Field Integral Equation (EFIE), which takes into account the electric component of the incident wave. The design objective is formulated in terms of the surface current and incident electric field. The normal velocity of the level-set model, which reflects the sensitivity of the objective function, is derived from the adjoint variable method and shape derivative. By optimizing the objective function, the area with the highest current density, to which the voltage feeding should be applied, can be reshaped. The advantages of adopting the level-set technique for electromagnetic design lie in its capacity for capturing sophisticated topological changes and facilitation in mathematical representation of the design configuration. The demonstrative examples of dipole antenna design show that the level-set method results in a fairly smooth optimization process, where the vacuum/metal interface gradually attains its optimal configuration. A series of design cases with self-adjoint and non-self-adjoint sensitivity analyses are studied and compared to the benchmarking problems in dipole antenna.