451
Views
3
CrossRef citations to date
0
Altmetric
Articles

Optimization approach for axisymmetric electric field cloaking and shielding

, &
Pages 40-55 | Received 10 Apr 2019, Accepted 06 Jul 2019, Published online: 02 Jun 2020

References

  • Alù A, Engheta N. Achieving transparency with plasmonic and metamaterial coatings. Phys Rev E. 2005;72:016623. doi: 10.1103/PhysRevE.72.016623
  • Pendry JB, Schurig D, Smith DR. Controlling electromagnetic fields. Science. 2006;312:1780–1782. doi: 10.1126/science.1125907
  • Leonhardt U. Optical conformal mapping. Science. 2006;312:1777–1780. doi: 10.1126/science.1126493
  • Gomory F, Solovyov M, Souc J, et alExperimental realization of a magnetic cloak. Science. 2012;335:1466–1468. doi: 10.1126/science.1218316
  • Guenneau S, Amra C, Veynante D. Transformation thermodynamics: cloaking and concentrating heat flux. Opt Express. 2012;20:8207–8218. doi: 10.1364/OE.20.008207
  • Yang F, Mei ZL, Jin TZ, et al. DC electric invisibility cloak. Phys Rev Lett. 2012;109:053902.
  • Han T, Yuan T, Li B, et al. Homogeneous thermal cloak with constant conductivity and tunable heat localization. Sci Rep. 2013;3:1593. doi: 10.1038/srep01593
  • Jiang WX, Luo CY, Mei ZL, et al. An ultrathin but nearly perfect direct current electric cloak. Appl Phys Lett. 2013;102:014102.
  • Huang Y, Feng Y, Jiang T. Electromagnetic cloaking by layered structure of homogeneous isotropic materials. Opt Express. 2007;15:11133–11141. doi: 10.1364/OE.15.011133
  • Narayana S, Sato V. Heat flux manipulation with engineered thermal materials. Phys Rev Lett. 2012;108:214303. doi: 10.1103/PhysRevLett.108.214303
  • Ooi EH, Popov V. Transformation thermodynamics for heat flux management based on segmented thermal cloaks. Eur Phys J Appl Phys. 2013;63:10903. doi: 10.1051/epjap/2013130150
  • Schittny R, Kadic M, Guenneau S, et al. Experiments on transformation thermodynamics: molding the flow of heat. Phys Rev Lett. 2013;110:195901. doi: 10.1103/PhysRevLett.110.195901
  • Han T, Ye H, Luo Y, et al. Manipulating dc currents with bilayer bulk natural materials. Adv Mater. 2014;26:3478–3483. doi: 10.1002/adma.201305586
  • Xu H, Shi X, Gao F, et al. Ultrathin three-dimensional thermal cloak. Phys Rev Lett. 2014;112:054301.
  • Tikhonov AN, Arsenin VY. Solutions of ill-posed problems. New York (NY): Halsted; 1977.
  • Beilina L, Smolkin E. Computational design of acoustic materials using an adaptive optimization algorithm. Appl Math Inf Sci. 2018;12:33–43. doi: 10.18576/amis/120103
  • Cakoni F, Kovtunenko VA. Topological optimality condition for the identification of the center of an inhomogeneity. Inverse Probl. 2018;34:035009.
  • Khludnev A, Popova T. Semirigid inclusions in elastic bodies: mechanical interplay and optimal control. Comput Math Appl. 2019;77:253–262. doi: 10.1016/j.camwa.2018.09.030
  • Beilina L, Klibanov MV. Globally strongly convex cost functional for a coefficient inverse problem. Nonlin Anal Real World Appl. 2015;22:272–288. doi: 10.1016/j.nonrwa.2014.09.015
  • Klibanov MV, Kolesov AE. Convexification of a 3-D coefficient inverse scattering problem. Comput Math Appl. 2019;77:1681–1702. doi: 10.1016/j.camwa.2018.03.016
  • Klibanov MV, Kolesov AE, Nguyen DL. Convexification method for an inverse scattering problem and its performance for experimental backscatter data for buried targets. SIAM J Imaging Sci. 2019;12:576–603. doi: 10.1137/18M1191658
  • Klibanov MV, Li J, Zhang W. Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data. Inverse Probl. 2019;35:035005.
  • Buhgeim AL, Klibanov MV. Global uniqueness of a class of multidimensional inverse problems. Soviet Math Dokl. 1981;24:244–247.
  • Xu S, Wang Y, Zhang B, et al. Invisibility cloaks from forward design to inverse design. Sci China Inf Sci. 2013;56:120408.
  • Popa BI, Cummer SA. Cloaking with optimized homogeneous anisotropic layers. Phys Rev A. 2009;79:023806. doi: 10.1103/PhysRevA.79.023806
  • Xi S, Chen H, Zhang B. Route to low-scattering cylindrical cloaks with finite permittivity and permeability. Phys Rev B. 2009;79:155122. doi: 10.1103/PhysRevB.79.155122
  • Alekseev GV, Levin VA. An optimization method for problems of thermal cloaking of material bodies. Doklady Phys. 2016;61:546–550. doi: 10.1134/S102833581611001X
  • Alekseev GV. Analysis of a two-dimensional thermal cloaking problem on the basis of optimization. Comput Math Math Phys. 2018;58:478–492. doi: 10.1134/S0965542518040048
  • Fachinotti VD, Ciarbonetti AA, Peralta I, et al. Optimization-based design of easy-to-make devices for heat flux manipulation. Int J Therm Sci. 2018;128:38–48. doi: 10.1016/j.ijthermalsci.2018.02.009
  • Fujii G, Akimoto Y, Takahashi M. Direct-current electric invisibility through topology optimization. J Appl Phys. 2018;123:233102. doi: 10.1063/1.5022881
  • Alekseev GV, Levin VA, Tereshko DA. Optimization analysis of the thermal cloaking problem for a cylindrical body. Doklady Phys. 2017;62:71–75. doi: 10.1134/S102833581702001X
  • Alekseev GV, Levin VA, Tereshko DA. The optimization method in design problems of spherical layered thermal shells. Doklady Phys. 2017;62:465–469. doi: 10.1134/S1028335817100044
  • Alekseev GV, Tereshko DA. Particle swarm optimization-based algorithms for solving inverse problems of designing thermal cloaking and shielding devices. Int J Heat Mass Transf. 2019;135:1269–1277. doi: 10.1016/j.ijheatmasstransfer.2019.02.072
  • Poli R, Kennedy J, Blackwel T. Particle swarm optimization. Swarm Intel. 2007;1:33–57. doi: 10.1007/s11721-007-0002-0
  • Alekseev GV, Tereshko DA. Optimization method for axisymmetric problems of electric cloaking of material bodies. Comp Math Math Phys. 2019;59:207–223. doi: 10.1134/S0965542519020027
  • Alekseev G, Tereshko D, Shestopalov Y 2018. arXiv:1901.00543.
  • Chiang AC. Elements of dynamic optimization. New York (NY): McGraw-Hill; 1992.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.