Electrodynamics of transformation-based invisibility cloaking

Baile Zhang

doi:10.1038/lsa.2012.32

Go to Nature Website

Your Location：

Home >

Browse articles >

Electrodynamics of transformation-based invisibility cloaking

Review

- Electrodynamics of transformation-based invisibility cloaking
- Electrodynamics of transformation-based invisibility cloaking
- LSA 2012年1卷第1期
- Affiliations：
  
  1.Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore
  2.Singapore-MIT Alliance for Research and Technology (SMART) Centre, Singapore 117543, Singapore
- Author bio：
  
  Dr BL Zhang, Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore E-mail: blzhang@ntu.edu.sg
- Funds：
- DOI：10.1038/lsa.2012.32
  中图分类号：
- 纸质出版日期：2012-03，
  
  网络出版日期：2012-10-12，
  
  收稿日期：2012-05-12，
  
  修回日期：2012-07-06，
  
  录用日期：2012-07-10
- Accepted：
Scan QR Code
Electrodynamics of transformation-based invisibility cloaking[J]. LSA, 2012,1(1).

Zhang, B. L. Electrodynamics of transformation-based invisibility cloaking. Light: Science & Applications, 1, e32 (2012).
Electrodynamics of transformation-based invisibility cloaking[J]. LSA, 2012,1(1). DOI： 10.1038/lsa.2012.32.

Zhang, B. L. Electrodynamics of transformation-based invisibility cloaking. Light: Science & Applications, 1, e32 (2012). DOI： 10.1038/lsa.2012.32.

摘要

Abstract

The existing knowledge on the electrodynamics of invisibility cloaking based on transformation optics is reviewed from an integrated science and engineering perspective. Several significant electromagnetic problems that have resulted in intense discussions in the past few years are summarized in terms of propagation

scattering

radiation and fabrication. Finally

the road ahead toward invisibility cloaking and transformation optics is discussed from the viewpoint of the author.

关键词

Keywords

invisibility cloakingmetamaterialstransformation optics

references

Leonhardt U. Optical conformal mapping.Science2006;312: 1777–1780..

Pendry JB, Schurig D, Smith DR. Controlling electromagnetic fields.Science2006;312: 1780–1782..

Pendry JB. Negative refraction makes a perfect lens.Phys Rev Lett2000;85: 3966–3969..

Leonhardt U, Philbin TG. Transformation optics and the geometry of light.Prog Opt2009;53: 69–153..

Dantzig DV. The fundamental equations of electromagnetism, independent of metrical geometry.Proc Cambridge Philos Soc1934;30: 421–427..

Dolin SL. On a possibility of comparing three-dimensional electromagnetic systems with inhomogeneous filling.Izv Vyssh Uchebn Zaved Radiofiz1961;4: 964–967..

Lax M, Nelson DF. Maxwell equations in material form.Phys Rev B1976;13: 1777–1784..

Post EJ.Formal structure of electromagnetics: general covariance and electromagnetics. New York: Interscience Publishers, 1962.

Ward AJ, Pendry JB. Refraction and geometry in Maxwell's equations.J Mod Opt1996;43: 773–793..

Teixeira FL, Chew WC. Lattice electromagnetic theory from a topological viewpoint.J Math Phys1999;40: 169–187..

Teixeira FL, Chew WC. Differential forms, metrics, and the reflectionless absorption of electromagnetic waves.J Electromagn Waves Appl1999;13: 665–686..

Schurig D, Pendry JB, Smith DR. Transformation designed optical elements.Opt Express2007;15: 14772–14782..

Liu Y, Zentgraf T, Bartal G, Zhang X. Transformational plasmon optics.Nano Lett2010;10: 1991–1997..

Aubry A, Lei DY, Fernández-Domínguez AI, Sonnefraud Y, Maier SAet al. Plasmonic light-harvesting devices over the whole visible spectrum.Nano Lett2010;10: 2574–2579..

Chen H, Chan CT, Sheng P. Transformation optics and metamaterials.Nat Mater2010;9: 387–396..

Chen H, Chan CT. Acoustic cloaking and transformation acoustics.J Phys D: Appl Phys2010;43: 113001..

Dubinov AE, Mytareva LA. Invisible cloaking of material bodies using the wave flow method.Phys Usp2010;53: 455–479..

Shalaev VM. Transforming light.Science2008;322: 384–386..

Service RF, Cho A. Strange new tricks with light.Science2010;330: 1622..

Leonhardt U, Philbin TG.Geometry and light: the science of invisibility. Mineola, NY: Dover, 2010.

Leonhardt U. To invisibility and beyond.Nature2011;471: 292–293..

Alu A, Engheta N. Achieving transparency with plasmonic and metamaterial coatings.Phys Rev E2005;72: 016623..

Alu A, Engheta N. Cloaking a sensor.Phys Rev Lett2009;102: 233901..

Fan P, Chettiar U, Cao L, Afshinmanesh F, Engheta Net al. An invisible metal-semiconductor photodetector.Nat Photon2012;6: 380–385..

Lai Y, Chen H, Zhang ZQ, Chan CT. Complementary media invisibility cloak that cloaks objects at a distance outside thecloaking shell.Phys Rev Lett2009;102: 093901..

Greenleaf A, Lassa M, Uhlmann G. On nonuniqueness for Calderon's inverse problem.Math Res Lett2003;10: 685–693..

Greenleaf A, Lassa M, Uhlmann G. Anisotropic conductivities that cannot be detected by EIT.Physiol Meas2003;24: 413–419..

Schurig D, Pendry JB, Smith DR. Calculation of material properties and ray tracing in transformation media.Opt Express2006;99: 9794–9894..

Cummer SA, Popa BI, Schurig D, Smith DR, Pendry JB. Full-wave simulations of electromagnetic cloaking structure.Phys Rev E2006;74: 036621..

Zolla F, Guenneau S, Nicolet A, Pendry JB. Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect.Opt Lett2007;32: 1069–1071..

Chen H, Wu BI, Zhang B, Kong JA. Electromagnetic wave interactions with a metamaterial cloak.Phys Rev Lett2007;99: 063903..

Ruan Z, Yan M, Neff CW, Qiu M. Ideal cylindrical cloak: perfect but sensitive to tiny perturbations.Phys Rev Lett2007;99: 113903..

Zhang B, Chen H, Wu BI, Luo Y, Ran Let al. Response of a cylindrical invisibility cloak to eletromagnetic waves.Phys Rev B2007;76: 121101(R)..

Greenleaf A, Kurylev Y, Lassa M, Uhlmann G. Improvement of cylindrical cloaking with the SHS lining.Opt Express2007;15: 12717–12734..

Sheng P. Waves on the horizon.Science2006;313: 1399–1400..

Chen H, Luo X, Ma H. The anti-cloak.Opt Express2008;16: 14603–14608..

Castaldi G, Gallina I, Galdi V, Alu A, Engheta N. Cloak/anti-cloak interactions.Opt Express2009;16: 106343..

Kong JA.Electromagnetic wave theory. Cambridge, MA: EMW Publishing, 2008.

Landau LD, Lifshitz EM.Electrodynamics of continuous media. Oxford: Pergamon Press, 1984.

Greenleaf A, Kurylev Y, Lassa M, Uhlmann G. Full-wave invisibility of active devices at all frequencies.Commun Math Phys2007;275: 749–789..

Zhang B, Chen H, Wu BI, Kong JA. Extraordinary surface voltage effect in the invisibility cloak with an active device inside.Phys Rev Lett2008;100: 063904..

Bladel JV.Singular electromagnetic fields and sources. New York: IEEE Press, 1991.

Yaghjian AD, Maci S. Alternative derivation of electromagnetic cloaks and concentrators.New J Phys2008;10: 115022..

Weder R. The boundary conditions for point transformed electromagnetic invisibility cloaks.J Phys A Math Theor2008;41: 415401..

Lindell IV, Sihvola AH. Electromagnetic boundary conditions defined in terms of normal field components.IEEE Trans Antennas Propag2010;58: 1128–1135..

Michalski KA. Missing boundary conditions of electromagnetics.Electron Lett1986;22: 921–922..

Idemen M, Serbest AH. Boundary conditions of the electromagnetic field.Electron Lett1987;23: 704–708..

Garcia N, Nieto-Vesperinas M. Left-handed materials do not make a perfect lens.Phys Rev Lett2002;88: 207403..

Pendry JB. Comment on left-handed materials do not make a perfect lens.Phys Rev Lett2003;91: 099701..

Chew WC. Sommerfeld integrals for lefthanded materials.Microwave Opt Technnol Lett2004;42: 369–373..

Wee WH, Pendry JB. Universal evolution of perfect lenses.Phys Rev Lett2011;106: 165503..

Ginis V, Tassin P, Soukoulis CM, Veretennico I. Confining light in deep subwavelength electromagnetic cavities.Phys Rev B2010;82: 113102..

Zhai T, Zhou Y, Shi J, Wang Z, Liu Det al. Electromagnetic localization based on transformation optics.Opt Express2010;18: 11891..

Ginis V, Tassin P, Danckaert J, Soukoulis CM, Veretennico I. Creating electromagnetic cavities using transformation optics.New J Phys2012;14: 033007..

Miller DA. On perfect cloaking.Opt Express2006;14: 12457–12466..

Chen H, Liang ZX, Yao PJ, Jiang XY, Ma HRet al. Extending the bandwidth of electromagnetic cloaks.Phys Rev B2007;76: 241104(R)..

Brillouin L.Wave propagation and group velocity. New York/London: Academic Press, 1960.

Yao P, Liang Z, Jiang X. Limitation of the electromagnetic cloak with dispersive material.Appl Phys Lett2008;92: 031111..

Chen H, Chan CT. Time delays and energy transport velocities in three dimensional ideal cloaking devices.J Appl Phys2008;104: 033113..

Stratton JA.Electromagnetic theory. New York/London: McGraw-Hill, 1941.

Zhang B, Wu BI, Chen H, Kong JA. Rainbow and blueshift effect of a dispersive spherical invisibility cloak impinged on by a nonmonochromatic plane wave.Phys Rev Lett2008;101: 063902..

Zhang B, Wu BI, Chen H. Optical delay of a signal through a dispersive invisibility cloak.Opt Express2009;17: 6721–6726..

Kundtz N, Roberts DA, Allen J, Cummer S, Smith DR. Optical source transformations.Opt Express2008;16: 21215–21222..

Luo Y, Zhang J, Chen H, Huangfu J, Ran L. High-directivity antenna with small antenna aperture.Appl Phys Lett2009;95: 193506..

Tai CT.Dyadic green functions in electromagnetic theory. New York: IEEE Press, 1994.

Yaghjian AD. Electric dyadic Green's functions in the source region.Proc IEEE1980;68: 248–263..

Zhang B, Wu BI. Electromagnetic detection of a perfect invisibility cloak.Phys Rev Lett2009;103: 243901..

Feynman RP, Leighton RB, Sands M.The Feynman lectures on physics. Vol. Ⅰ. Redwood City, CA: Addison-Wesley, 1989.

Schurig D, Mock J, Justice B, Cummer S, Pendry Jet al. Metamaterial electromagnetic cloak at microwave frequencies.Science2006;314: 977–980..

Kant B, Germain D, de Lustrac A. Experimental demonstration of a nonmagnetic metamaterial cloak at microwave frequencies.Phys Rev B2009;80: 201104(R)..

Li J, Pendry JB. Hiding under the carpet: a new strategy for cloaking.Phys Rev Lett2008;101: 203901..

Liu R, Ji C, Mock JJ, Chin JY, Cui TJet al. Broadband ground-plane cloak.Science2009;323: 366–369..

Leonhardt U, Tyc T. Broadband invisibility by non-Euclidean cloaking.Science2009;323: 110–112..

Ma HF, Cui TJ. Three-dimensional broadband ground-plane cloak made of metamaterials.Nat Commun2010;1: 21..

Ergin T, Stenger N, Brenner P, Pendry JB, Wegener M. Three-dimensional invisibility cloak at optical wavelengths.Science2010;328: 337–339..

Valentine J, Li J, Zentgraf T, Bartal G, Zhang X. An optical cloak made of dielectrics.Nat Mater2009;8: 568–571..

Gabrielli LH, Cardenas J, Poitras CB, Lipson M. Silicon nanostructure cloak operating at optical frequencies.Nat Photon2009;3: 461–463..

Lee JH, Blair J, Tamma VA, Wu Q, Rhee SJet al. Direct visualization of optical frequency invisibility cloak based on silicon nanorod array.Opt Express2009;17: 12922–12928..

Tretyakov S, Alitalo P, Luukkonen O, Simonvski C. Broadband electromagnetic cloaking of long cylindrical objects.Phys Rev Lett2009;103: 103905..

Smolyaninov II, Smolyaninova VN, Kildishev AV, Shalaev VM. Anisotropic metamaterial emulated by tapered waveguides: application to optical cloaking.Phys Rev Lett2009;102: 213901..

Zhang B, Chan T, Wu BI. Lateral shift makes a ground-plane cloak detectable.Phys Rev Lett2010;104: 233903..

Challis NV, Burley DM. A numerical method for conformal mapping.IMA J Numer Anal1982;2: 161–181..

Landy NI, Kundtz N, Smith DR. Designing three-dimensional transformation optical media using quasi-conformal coordinate transformations.Phys Rev Lett2010;105: 193902..

Zhang B, Luo Y, Liu X, Barbastathis G. Macroscopic invisibility cloak for visible light.Phys Rev Lett2011;106: 033901..

Chen X, Luo Y, Zhang J, Jiang K, Pendry JBet al. Macroscopic invisibility cloaking of visible light.Nat Commun2011;2: 176..

Liang D, Gu JQ, Han JG, Yang YM, Zhang Set al. Robust large dimension terahertz cloaking.Adv Mater2012;24: 916–921..

Chen H, Zheng B. Broadband polygonal invisibility cloak for visible light.Sci Rep2012;2: 255..

Hashemi H, Zhang B, Joannopoulos JD, Johnson SG. Delay-bandwidth and delay-loss limitations for cloaking of large objects.Phys Rev Lett2010;104: 253903..

Perczel J, Tyc T, Leonhardt U. Invisibility cloaking without superluminal propagation.New J Phys2011;13: 083007..

Wood B, Pendry JB. Metamaterials at zero frequency.J Phys Condens Matter2007;19: 076208..

Narayana S, Sato Y. DC magnetic cloak.Adv Mater2012;24: 71–74..

Gomory F, Solovyov M, Souc J, Navau C, Prat-Camps Jet al. Experimental realization of a magnetic cloak.Science2012;335: 1466–1468..

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

Concealing arbitrary objects remotely with multi-folded transformation optics

Repulsion of polarised particles from anisotropic materials with a near-zero permittivity component

Quantum nonlocal effects in individual and interacting graphene nanoribbons

Efficient unidirectional polarization-controlled excitation of surface plasmon polaritons

The magnetic response of graphene split-ring metamaterials