Topology optimized low-contrast all-dielectric optical cloak

A systematic methodology for designing low-contrast all-dielectric cloaks operating in the optical range is presented. Topology optimization is used to find the layout of standard dielectric material that minimizes the norm of the scattered field in the surroundings of the cloak. Rotational symmetries are exploited to optimize for multiple angles based on the solution for a single angle of incidence. For a few discrete angles of incidences (1–4) the cloaking is shown to be nearly perfect in a limited frequency range, and even for a rotational symmetric design, cloak and object appear smaller than the noncloaked object.

[1]  T. E. Bruns,et al.  Topology optimization of non-linear elastic structures and compliant mechanisms , 2001 .

[2]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[3]  Zhuo Xu,et al.  Approximation approach of designing practical cloaks with arbitrary shapes. , 2008, Optics express.

[4]  Jian-Ming Jin,et al.  The Finite Element Method in Electromagnetics , 1993 .

[5]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[6]  Yijun Feng,et al.  Electromagnetic cloaking by layered structure of homogeneous isotropic materials. , 2007, Optics express.

[7]  G. Bartal,et al.  An optical cloak made of dielectrics. , 2009, Nature materials.

[8]  S. Cummer,et al.  Cloaking with optimized homogeneous anisotropic layers , 2009 .

[9]  U. Chettiar,et al.  Negative index of refraction in optical metamaterials. , 2005, Optics letters.

[10]  U. Chettiar,et al.  Nonmagnetic cloak with minimized scattering , 2007 .

[11]  B. Bourdin.  Filters in topology optimization , 2001 .

[12]  David R. Smith,et al.  Metamaterial Electromagnetic Cloak at Microwave Frequencies , 2006, Science.

[13]  David R. Smith,et al.  Controlling Electromagnetic Fields , 2006, Science.

[14]  O. Sigmund.  Morphology-based black and white filters for topology optimization , 2007 .

[15]  Jakob S. Jensen,et al.  Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguide , 2005 .

[16]  U. Leonhardt.  Optical Conformal Mapping , 2006, Science.

[17]  Yu Luo,et al.  Minimizing the scattering of a nonmagnetic cloak , 2010, 1002.2092.