Level set based topology optimization for optical cloaks

Abstract

Articles you may be interested inDesign of a two-dimensional metamaterial cloak with minimum scattering using a quadratic transformation function

Topology optimization for three-dimensional electromagnetic waves using an edge element-based finite-element method

“…This is a typical min-type optimization problem. Topology optimization-based computational design of two-dimensional electromagnetic cloaks have been investigated for TM and TE incident waves, where two-dimensional is the reduced case with an infinite extension assumed in the third dimension [20][21][22]. Three-dimensional design is more flexible and practical for the consideration of realistic situations.…”

“…For this complexity, physical intuitionbased electromagnetic structure design has its limitations. To overcome these bounds, several inverse design tests have been implemented based on structural optimization methods [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34], in which the method employed most is the topology optimization method. Topology optimization is currently regarded to be the most robust methodology for the inverse determination of material distribution in structures that meet given structural performance criteria.…”

“…Topology optimization is currently regarded to be the most robust methodology for the inverse determination of material distribution in structures that meet given structural performance criteria. It was first developed for elastic material response by Bendsøe & Kikuchi [35], and then was extended to a variety of application areas, including acoustic, electromagnetic, fluidic and thermal problems [16,[20][21][22][24][25][26][27][28][29][30][31][32][33][36][37][38][39][40][41][42][43][44][45], to list the most prominent. Most of the reports on topology optimization in electromagnetics have focused on applications, including beamsplitters [18,19], photonic crystals [16,17], cloaks [20][21][22], sensors and resonators [44,45], metamaterials [23][24][25], excitation of surface plasmons [26], and electromagnetic and optical antennas [27][28][29]34], without presenting the systemical topology optimization methodology for electromagnetic waves in three-dimensional space.…”

A level-set-based topology optimisation of carpet cloaking devices with the boundary element method

“…Although the objective function for cloaking devices is often defined as the volume integrals of the intensity of the scattered field (Andkjr, et al, 2012, Fujii, et al, 2013, Otomori, et al, 2013, we use the sum of the scattered field on fixed observation points. In our numerical experiments, M is set as so large that the effects of the number on optimal results are not observed.…”

The Experimental Realization of an Acoustic Cloak in Air with a Meta-Composite Shell

“…In the field of optics, Andkjaer and Sigmund [11] employed topology optimization for designing all-dielectric cloaks in 2011. In 2013, Fujii et al [12] used a level set-based topology method that provides discrete cloaking configurations with good performance. Otomori et al [13] proposed a method for the design of an electromagnetic cloak made of ferrite material in 2013.…”