| Full text | |
| Author(s): |
Pita Ruiz, Julian L.
[1, 2]
;
Amad, Alan A. S.
[3]
;
Gabrielli, Lucas H.
[1, 2]
;
Novotny, Antonio Andre
[4]
Total Authors: 4
|
| Affiliation: | [1] Univ Estadual Campinas, Sch Elect & Comp Engn, Campinas, SP - Brazil
[2] Univ Estadual Campinas, Photon Res Ctr, Campinas, SP - Brazil
[3] Swansea Univ, Coll Engn, Zienkiewicz Ctr Computat Engn, Bay Campus, Swansea, W Glam - Wales
[4] Lab Nacl Comp Cient, Petropolis, RJ - Brazil
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | Optics Express; v. 27, n. 23, p. 33586-33605, NOV 11 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
A new optimization method based on the topological derivative concept is developed for the electromagnetic design problem. Essentially, the purpose of the topological derivative method is to measure the sensitivity of a given shape functional with respect to a singular domain perturbation, so that it has applications in many relevant fields such as shape and topology optimization for imaging processing, inverse problems, and design of metamaterials. The topological derivative is rigorously derived for the electromagnetic scattering problem and used as gradient descent direction to find local optima for the design of electromagnetic devices. We demonstrate that the resulting topology design algorithm is remarkably simple and efficient and naturally leads to binary designs, while depending only on the solution of the conventional finite element formulation fir electrodynamics. Finally, several numerical experiments in two and three spatial dimensions are presented to illustrate the performance of the proposed formulation. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement (AU) | |
| FAPESP's process: | 15/24517-8 - Photonics for next generation internet |
| Grantee: | Hugo Enrique Hernández Figueroa |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 16/19270-6 - Multimode couplers for integrated photonics |
| Grantee: | Lucas Heitzmann Gabrielli |
| Support Opportunities: | Research Grants - Young Investigators Grants |
| FAPESP's process: | 18/25339-4 - Integrated photonics devices |
| Grantee: | Newton Cesario Frateschi |
| Support Opportunities: | Research Projects - Thematic Grants |