Fundamental and frontiers of transformation optics

Yong-liang ZHANG; Xian-zi DONG; Xuan-ming DUAN; Zhen-sheng ZHAO

doi:10.3969/j.issn.1007-5461.2014.04.001

[1] Leonhardt U, Philbin T G. Transformation optics and the geometry of light ［J］. Prog. Opt., 2009, 53: 69-152.

[2] Chen H Y, Chan C T, Shen P. Transformation optics and metamaterials ［J］. Nat. Mat., 2013, 9: 387-396.

[3] Pendry J, Schurig D, Smith D. Controlling electromagnetic fields ［J］. Science, 2006, 312: 1780-1782.

[4] Leonhardt U. Optical conformal mapping ［J］. Science, 2006, 312: 1777-1780.

[5] Mandelshtam L I. Complete Collection of Works ［M］. Moscow: Academy of Science, 1950.

[6] Skrotski G V. The influence of gravitation on the propagation of light ［J］. Soviet Phys. Dokl., 1957, 2: 226-229.

[7] Plebanski J. Electromagnetic waves in gravitational fields ［J］. Phys. Rev., 1960, 118(5): 1396-1408.

[8] Landau L D, Lifshitz E M. The Classical Theory of Field ［M］. Oxford: Butterworth-Heinemann, 1995.

[9] Post E G. Formal Structure of Electromagnetics: General Covariance and Electromagnetics ［M］. New York: Interscience Publish, 1962.

[10] Lax M, Nelson D F. Maxwell equations in material form ［J］. Phys. Rev. B, 1976, 13(4): 1777-1784.

[11] Schurig D, et al. Metamaterial electromagnetic cloak at microwave frequencies ［J］. Science, 2006, 314:977-980.

[12] Kant B, Germain D, et al. Experimental demonstration of a nonmagnetic cloak at microwave frequencies ［J］. Phys. Rev. B, 2009, 80: 201104(R).

[13] Li J, Pendry J. Hiding under a carpet: A new strategy for cloaking ［J］. Phys. Rev. Lett., 2008, 101: 203901.

[14] Valentine J, Li J, Zentgraf T, et al. An optical cloak made of dielectrics ［J］. Nat. Mater., 2009, 8: 568-571.

[15] Gabrielli L, Cardenas J, Poitras C, et al. Silicon nanostructure cloak operating at optical frequencies ［J］. Nat. Photon., 2009, 3: 461-463.

[16] Zhou F, BaoY, Cao W, et al. Hiding a realistic object using a broadband terehertz invisible cloak ［J］. Sci. Rep., 2011, 1: 78.

[17] Liu R, et al. Broadband ground-plane cloak ［J］. Science, 2009, 323: 366-369.

[18] Ma H F, Cui T J. Three-dimensional broadband ground-plane made of metamaterials ［J］. Nat. Commun., 2010, 1: 21.

[19] Ergin T, Stenger N, Brenner P, et al. Three-dimensional invisibility cloak at optical wavelengths ［J］. Science, 2010, 328: 337-339.

[20] Luo Y, et al. A rigorous analysis of plane transformed invisibility cloak ［J］. IEE Trans. Antenn. Propag., 2009, 57: 3926-3933.

[21] Zhang B, Luo Y, Liu X, et al. Macroscopic invisibility cloak for visible light ［J］. Phys. Rev. Lett., 2011, 106: 033901.

[22] Chen X, Luo Y, Zhang J, et al. Macroscopic invisibility of visible light ［J］. Nat. Commun., 2011, 2: 176.

[23] Liang D, Gu J Q, et al. Robust large dimension terahertz cloaking ［J］. Adv. Mat., 2012, 24: 916-921.

[24] Chen H, Zheng B. Broadband polygonal invisibility cloak for visible light ［J］. Sci. Rep., 2012, 2: 255.

[25] Chen H, Zheng B, et al. Ray optics cloaking devices for large objects in incoherent natural light ［J］. Nat. Commun., 2013, 4: 2652.

[26] Fan Y, Mei Z L, Jin T Y, et al. dc electric invisibility cloak ［J］. Phys. Rev. Lett., 2012, 109: 053902.

[27] Ma Q, Mei Z L, Zhu S K, et al. Experiments on active cloaking and illusion for Laplace equation ［J］. Phys. Rev. Lett., 2013, 111: 173901.

[28] Lai Y, Jack Ng, Chen H Y, et al. Illusion optics: The optical transformation of an object into another object ［J］. Phys. Rev. Lett., 2009, 102: 253902.

[29] Liu M, Mei Z L, Ma X, et al. dc illusion and its experimental verification ［J］. Appl. Phys. Lett., 2012, 101: 051905.

[30] Yang T, Chen H Y, Luo X D, et al. Superscatter: Enhancement of scattering with complementary media ［J］. Opt. Expr., 2008, 16: 18545.

[31] Jack Ng, Chen H Y, Chan C T. Metamaterial frequency-selective superabsorber ［J］. Opt. Lett., 2009, 34: 644.

[32] Li C, Meng X, Liu X, et al. Experimental realization of a circuit based broadband illusion optics analogue ［J］. Phys. Rev. Lett., 2010, 105: 233906.

[33] Huidobro P A, Nesterov M L, Martin-Moreno L, et al. Transformation optics for plasmonics ［J］. Nano Lett., 2010, 10: 1985-1990.

[34] Liu Y M, Zentagraf T, Bartal G, et al. Tranformation plasmon optics ［J］. Nano Lett., 2010, 10: 1991-1997.

[35] Pendry J, Aubry A, Smith D R, et al. Transformation optics and subwavelength control of light ［J］. Science, 2012, 337: 549-552.

[36] Luo Y, Zhao R, Fernandez-Dominguez A I, et al. Harvesting light with transformation optics ［J］. Sci. China: Inform. Sci., 2013, 56: 120401.

[37] Kundtz N, Smith D R. Extreme-angle broadband metamaterial lens ［J］. Nat. Mat., 2009, 9: 129-132.

[38] Ma H F, Cui T J. Three-dimensional broadband and broad-angle transformation-optics lens ［J］. Nat. Commun., 2010, 1: 124.

[39] Di Falco A, Kehr S C, LeonhardtU. Luneburg lens in silicon photonics ［J］. Opt. Expr., 2011, 19(6): 5156-5162.

[40] Hunt J, et al. Planar, flattened Luneburg lens at infrared wavelengths ［J］. Opt. Expr., 2012, 20(2): 1706-1713.

[41] Vakil A, Engheta N. Transformation optics using graphene ［J］. Science, 2011, 332(6035): 1291-1294.

[42] Genov D A, Zhang S, Zhang X. Mimicking celestial mechanics in metamaterials ［J］. Nat. Phys., 2009, 5: 687-692.

[43] Cheng Q, Cui T J, Jiang W X, et al. An omnidirectional electromagnetic absorber made of metamaterials ［J］. New J. Phys., 2010, 12: 063006.

[44] Zentgraf Z, Valentine J, Tapia N, et al. An optical Janus device for integrated photonics ［J］. Adv. Mat., 2010, 22: 2561.

[45] Roberts D A, Rahm M, Pendry J, et al. Transformation optical design of sharp waveguide bends and corners ［J］. Appl. Phys. Lett., 2008, 93: 251111.

[46] Zhang Y L, Shi L N, Dong X Z, et al. Topological effects in transformation optics ［J］. 2013, arXiv: 1301.6954.

[47] Milton G W, Briane M, Willis J R. On cloaking for elasticity and physical equations with a transformation invariant form ［J］. New J. Phys., 2006, 8: 248.

[48] Zhang S, Genov D A, Sun C, et al. Cloaking of matter waves ［J］. Phys. Rev. Lett., 2008, 100: 123002.

[49] Guenneau S, Amra C, Veynante D. Transformation thermodynamics: Cloaking and concentrating heat flux ［J］. Opt. Expr., 2012, 20: 8207-8218.

[50] Tretyakov S A. Nefedov I S, Alitalo P. Generalized field-transforming metamaterials ［J］. New J. Phys., 2008, 10: 115028.

[51] Liu F, Liang Z X, Li J. Manipulating polarization and impedance signature: A reciprocal field transformation approach ［J］. Phys. Rev. Lett., 2013, 111: 033901.

[52] Castaldi G, Galdi V, Alu A, et al. Nonlocal transformation optics ［J］. Phys. Rev. Lett., 2012, 108: 063902.

[53] Castaldi G, Galdi V, Alu A, et al. PT metamaterials via complex coordinate transformation ［J］. Phys. Rev. Lett., 2013, 110: 173901.

[54] Wu K, Wang G P. Hiding objects and creating illusions above a carpet filter using a Fourier optics approach ［J］. Opt. Expr., 2010, 18(19): 19894-19901.