An effective method for designing new structural left-handed material based on topology optimisation

A systematic method for the design of potential microstructure configurations of structural left-handed materials (LHMs) based on topology optimisation technique is presented, and a single objective and a multi-objective optimisation model are proposed. The material considered is a periodic array of dielectric substrates attached with metal film pieces, and the microstructure design of left-handed material is formulated through determining the arrangements of those metal pieces. Different from the conventional configurations of LHMs which consist of magnetic resonators and wires, our results showed that novel integrative configurations without wires can be obtained as microstructures of LHMs. Topology optimisation technique is a universal and effective tool for configuration design of LHMs, and many new structural LHMs with the desired electromagnetic characteristics can be obtained by this systematic approach.

[1]  Dunbao Yan,et al.  A novel genetic-algorithm-based artificial magnetic conductor structure , 2005 .

[2]  David R. Smith,et al.  Metamaterials and Negative Refractive Index , 2004, Science.

[3]  V. Veselago The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .

[4]  Polarimetric Scattering from a Layer of Spatially-Oriented Metamaterial Small Spheroids , 2005 .

[5]  Jiangtao Huangfu,et al.  Left-handed materials composed of only S-shaped resonators. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Willie J Padilla,et al.  Composite medium with simultaneously negative permeability and permittivity , 2000, Physical review letters.

[7]  David R. Smith,et al.  Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial , 2001 .

[8]  S. Ramakrishna,et al.  Physics of negative refractive index materials , 2005 .

[9]  D. Smith,et al.  Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients , 2001, physics/0111203.

[10]  Lei Zhang,et al.  Experimental demonstration of negative index of refraction , 2006 .

[11]  R. Shelby,et al.  Experimental Verification of a Negative Index of Refraction , 2001, Science.

[12]  T. Cui,et al.  Study of active superlens and evanescent wave amplification using an active metamaterial model , 2009 .

[13]  Double bands of negative refractive index in the left-handed metamaterials with asymmetric defects , 2007 .

[14]  Peter Markos,et al.  Transmission properties and effective electromagnetic parameters of double negative metamaterials. , 2003, Optics express.

[15]  Eleftherios N. Economou,et al.  Left-handed metamaterials: The fishnet structure and its variations , 2007 .

[16]  P Y Chen,et al.  Synthesis design of artificial magnetic metamaterials using a genetic algorithm. , 2008, Optics express.

[17]  Vladimir M. Shalaev,et al.  Stochastic optimization of low-loss optical negative-index metamaterial , 2007 .

[18]  David R. Smith,et al.  Electromagnetic parameter retrieval from inhomogeneous metamaterials. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  D. Smith,et al.  Resonant and antiresonant frequency dependence of the effective parameters of metamaterials. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Sailing He,et al.  Frequency range and explicit expressions for negative permittivity and permeability for an isotropic medium formed by a lattice of perfectly conducting /Ω particles , 2003 .

[21]  Ole Sigmund,et al.  A topology optimization method for design of negative permeability metamaterials , 2010 .

[22]  Ji Zhou,et al.  Magnetotunable left-handed material consisting of yttrium iron garnet slab and metallic wires , 2007 .

[23]  GHz magnetic response of split ring resonators , 2004 .

[24]  Jiangtao Huangfu,et al.  Negative refraction of a combined double S-shaped metamaterial , 2005 .

[25]  J. Pendry,et al.  Magnetism from conductors and enhanced nonlinear phenomena , 1999 .

[26]  Stewart,et al.  Extremely low frequency plasmons in metallic mesostructures. , 1996, Physical review letters.

[27]  Gregory M. Hulbert,et al.  Multiobjective evolutionary optimization of periodic layered materials for desired wave dispersion characteristics , 2006 .

[28]  Lei Zhang,et al.  Negative Index Materials Using Simple Short Wire Pairs , 2006 .

[29]  Jin Au Kong,et al.  Robust method to retrieve the constitutive effective parameters of metamaterials. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Eleftherios N. Economou,et al.  Left-handed metamaterials: detailed numerical studies of the transmission properties , 2005 .

[31]  J. Pendry,et al.  Low frequency plasmons in thin-wire structures , 1998 .