## The searchlight effect in hyperbolic materials |

Optics Express, Vol. 21, Issue 12, pp. 14926-14942 (2013)

http://dx.doi.org/10.1364/OE.21.014926

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### Abstract

The quasistatic field around a circular hole in a two-dimensional hyperbolic medium is studied. As the loss parameter goes to zero, it is found that the electric field diverges along four lines each tangent to the hole. In this limit, the power dissipated by the field in the vicinity of these lines, per unit length of the line, goes to zero but extends further and further out so that the net power dissipated remains finite. Additionally the interaction between polarizable dipoles in a hyperbolic medium is studied. It is shown that a dipole with small polarizability can dramatically influence the dipole moment of a distant polarizable dipole, if it is appropriately placed. We call this the searchlight effect, as the enhancement depends on the orientation of the line joining the polarizable dipoles and can be varied by changing the frequency. For some particular polarizabilities the enhancement can actually increase the further the polarizable dipoles are apart.

© 2013 OSA

**OCIS Codes**

(160.1190) Materials : Anisotropic optical materials

(160.3918) Materials : Metamaterials

**ToC Category:**

Metamaterials

**History**

Original Manuscript: February 27, 2013

Revised Manuscript: May 17, 2013

Manuscript Accepted: May 23, 2013

Published: June 17, 2013

**Virtual Issues**

Hyperbolic Metamaterials (2013) *Optics Express*

**Citation**

Graeme W. Milton, Ross C. McPhedran, and Ari Sihvola, "The searchlight effect in hyperbolic materials," Opt. Express **21**, 14926-14942 (2013)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-12-14926

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### References

- V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of εand μ,”Uspekhi Fizicheskikh Nauk92, 517–526 (1967). English translation in Sov. Phys. Uspekhi10:509–514 (1968). [CrossRef]
- N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, “Optical and dielectric properties of partially resonant composites,” Phys. Rev. B49, 8479–8482 (1994). [CrossRef]
- G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy, “A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance,” Proc. Roy. Soc. A461, 3999–4034 (2005). [CrossRef]
- G. W. Milton and N.-A. P. Nicorovici, “On the cloaking effects associated with anomalous localized resonance,” P. R. Soc. A462, 3027–3059 (2006). [CrossRef]
- N.-A. P. Nicorovici, G. W. Milton, R. C. McPhedran, and L. C. Botten, “Quasistatic cloaking of two-dimensional polarizable discrete systems by anomalous resonance,” Opt. Express15, 6314–6323 (2007). [CrossRef] [PubMed]
- O. P. Bruno and S. Lintner, “Superlens-cloaking of small dielectric bodies in the quasistatic regime,” J. Appl. Phys.102, 124502 (2007). [CrossRef]
- G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran, K. Cherednichenko, and Z. Jacob, “Solutions in folded geometries, and associated cloaking due to anomalous resonance,” New J. Phys.10, 115021 (2008). [CrossRef]
- N.-A. P. Nicorovici, R. C. McPhedran, S. Enoch, and G. Tayeb, “Finite wavelength cloaking by plasmonic resonance,” New J. Phys.10, 115020 (2008). [CrossRef]
- G. Bouchitté and B. Schweizer, “Cloaking of small objects by anomalous localized resonance,” Quantum J. Mech. Appl. Math.63, 437–463 (2010). [CrossRef]
- N.-A. P. Nicorovici, R. C. McPhedran, and L. C. Botten, “Relative local density of states and cloaking in finite clusters of coated cylinders,” Wave. Random Complex21, 248–277 (2011). [CrossRef]
- H. Ammari, G. Ciraolo, H. Kang, H. Lee, and G. W. Milton, “Spectral theory of a neumann-poincaré-type operator and analysis of cloaking due to anomalous localized resonance,” Arch. Ration. Mech. Anal.208, 667–692 (2013). [CrossRef]
- R. V. Kohn, J. Lu, B. Schweizer, and M. I. Weinstein, “A variational perspective on cloaking by anomalous localized resonance,” (2012). ArXiv:1210.4823 [math.AP].
- H. Ammari, G. Ciraolo, H. Kang, H. Lee, and G. W. Milton, “Spectral theory of a neumann-poincaré-type operator and analysis of cloaking due to anomalous localized resonance ii,” (2013). ArXiv:1212.5066 [math.AP].
- M. Xiao, X. Huang, J. W. Dong, and C. T. Chan, “On the time evolution of the cloaking effect of a metamaterial slab,” Opt. Lett.37, 4594–4596 (2012). [CrossRef] [PubMed]
- H. Ammari, G. Ciraolo, H. Kang, H. Lee, and G. W. Milton, “Anomalous localized resonance using a folded geometry in three dimensions,” (2013). ArXiv:1301.5712 [math-ph].
- J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett.85, 3966–3969 (2000). [CrossRef] [PubMed]
- R. W. Ziolkowski and E. Heyman, “Wave propagation in media having negative permittivity and permeability,” Phys. Rev. E64, 056625 (2001). [CrossRef]
- F. D. M. Haldane, “Electromagnetic surface modes at interfaces with negative refractive index make a ’not-quite-perfect’ lens,” (2002). ArXiv:cond-mat/0206420 v3 (2002).
- N. Garcia and M. Nieto-Vesperinas, “Left-handed materials do not make a perfect lens,” Phys. Rev. Lett.88, 207403 (2002). [CrossRef]
- A. L. Pokrovsky and A. L. Efros, “Diffraction in left-handed materials and theory of veselago lens,” (2002). ArXiv:cond-mat/0202078 v2 (2002).
- S. A. Cummer, “Simulated causal subwavelength focusing by a negative refractive index slab,” Appl. Phys. Lett.82, 1503–1505 (2003). [CrossRef]
- A. L. Pokrovsky and A. L. Efros, “Diffraction theory and focusing of light by a slab of left-handed material,” Physica B338, 333–337 (2003). See also arXiv:cond-mat/0202078 v2 (2002). [CrossRef]
- X. S. Rao and C. K. Ong, “Amplification of evanescent waves in a lossy left-handed material slab,” Phys. Rev. B68, 113103 (2003). [CrossRef]
- G. Shvets, “Photonic approach to making a material with a negative index of refraction,” Phys. Rev. B67, 035109 (2003). [CrossRef]
- R. Merlin, “Analytical solution of the almost-perfect-lens problem,” Appl. Phys. Lett.84, 1290–1292 (2004). [CrossRef]
- S. Guenneau, B. Gralak, and J. B. Pendry, “Perfect corner reflector,” Opt. Lett.30, 1204–1206 (2005). [CrossRef] [PubMed]
- V. A. Podolskiy and E. E. Narimanov, “Near-sighted superlens,” Opt. Lett.30, 75–77 (2005). [CrossRef] [PubMed]
- G. W. Milton, N.-A. P. Nicorovici, and R. C. McPhedran, “Opaque perfect lenses,” Physica B394, 171–175 (2007). [CrossRef]
- J. W. Dong, H. H. Zheng, Y. Lai, H. Z. Wang, and C. T. Chan, “Metamaterial slab as a lens, a cloak, or an intermediate,” Phys. Rev. B83, 115124 (2011). [CrossRef]
- J. B. Pendry and S. A. Ramakrishna, “Refining the perfect lens,” Physica B338, 329–332 (2003). [CrossRef]
- D. R. Smith and D. Schurig, “Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors,” Phys. Rev. Lett.90, 077405 (2003). [CrossRef] [PubMed]
- Z. Jacob, L. V. Alekseyev, and E. Narimanov, “Optical hyperlens: Far-field imaging beyond the diffraction limit,” Opt. Express14, 8247–8256 (2006). [CrossRef] [PubMed]
- A. Salandrino and N. Engheta, “Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulations,” Phys. Rev. B74, 075103 (2006). [CrossRef]
- Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science315, 1686 (2007). [CrossRef] [PubMed]
- J. Rho, Z. Ye, Y. Xiong, X. Yin, Z. Liu, H. Choi, G. Bartal, and X. Zhang, “Spherical hyperlens for two-dimensional sub-diffractional imaging at visible frequencies,” Nature1, 143 (2010).
- S. S. Kruk, D. A. Powell, A. Minovich, D. N. Neshev, and Y. S. Kivshar, “Spatial dispersion of multilayer fishnet metamaterials,” Opt. Express20, 15101–15105 (2012). [CrossRef]
- H. C. Yang and Y. T. Chou, “Antiplane strain problems of an elliptic inclusion in an anisotropic medium,” J. Appl. Mech.44, 437–441 (1977). [CrossRef]
- A. H. Sihvola, “On the dielectric problem of isotropic sphere in anisotropic medium,” Electromagnetics17, 69–74 (1997). [CrossRef]
- G. W. Milton, The Theory of Composites (Cambridge University Press, 2002). [CrossRef]
- A. Sihvola, “Metamaterials and depolarization factors,” Prog. Electromagn. Res.51, 65–82 (2005). [CrossRef]

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