Journal of the European Optical Society - Rapid publications, Vol 3 (2008)

Leaky modes of a left-handed slab

A. Moreau, D. Felbacq


Using complex plane analysis we show that left-handed slab may support either leaky slab waves, which are backward because of negative refraction, or leaky surface waves, which are backward or forward depending on the propagation direction of the surface wave itself. Moreover, there is a general connection between the reflection coefficient of the left-handed slab and the one of the corresponding right-handed slab (with opposite permittivity and permeability) so that leaky slab modes are excited for the same angle of incidence of the impinging beam for both structures. Many negative giant lateral shifts can be explained by the excitation of these leaky modes.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2008.08032]

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V. Veselago, "The electrodynamics of substances with simultaneously negative values of e and _" Usp. Fiz. Nauk. 92, 517 (1967).

R. Shelby, D. Smith, and S. Shultz, "Experimental verification of a negative index of refraction"Science 292, 77 (2001).

I. Shadrivov, A. Sukhorukov, and Y. Kivshar, "Guided modes in negative-refractive-index waveguides" Phys. Rev. E 67, 057602 (2003).

P. Tichit, A. Moreau, and G. Granet, "Localization of light in a lamellar structure with left-handed medium : the Light Wheel" Opt. Express 15, 14961-14966 (2007).

J. Pendry, D. Schuring, and D. Smith, "Controlling Electromagnetic Fields" Science 312, 1780 (2006).

T. Tamir, and H. Bertoni, "Lateral displacement of optical beams at multilayered and periodic structures" J. Opt. Soc. Am. 61, 1397 (1971).

D. R. Smith, S. Schultz, P. Makos, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients" Phys. Rev. B 65, 195104 (2002).

F., and H. Haenchen, "Ein neuer und fundamentaler Versuch zur Totalreflexion" Ann. Phys. 1, 333 (1947).

D. Felbacq, A. Moreau, and R. Smaali, "Goos-Haenchen effect in the gaps of photonic crystals" Opt. Lett. 28, 1633 (2003).

A. Lakhtakia, "On plane wave remittances and Goos-Haenchen shifts of planar slabs with negative real permittivity and permeability" Electromagnetics 23, 71 (2003).

P. Berman, "Goos-Haenchen shift in negatively refractive media" Phys. Rev. E 66, 067603 (2002).

I. Shadrivov, A. A. Zharov, and Y. Kivshar, "Giant Goos-Haenchen effect at the reflection from left-handed materials" Appl. Phys. Lett. 83, 2713 (2002).

L. Wang, and S. Zhu, "Large negative lateral shifts from the Kretschman-Raether configuration with left-handed materials" Appl. Phys. Lett. 87, 221102 (2005).

A. Moreau, and D. Felbacq, "Comment on 'Large negative lateral shifts from the Kretschman-Raether configuration with left-handed materials' " Appl. Phys. Lett. 90, 066102 (2007).

F. Pillon, H. Gilles, S. Girard, M. Laroche, R. Kaiser, and A. Gazibegovic, "Goos-Haenchen and Imbert-Fedorov shifts for leaky guided modes" J. Opt. Soc. Am. B 22, 1290 (2005).

X. Chen, and C. Li, "Lateral shift of the transmitted light beam through a left-handed slab" Phys. Rev. E 69, 066617 (2004).

R. Ruppin, "Surface polaritons of a left-handed medium" Phys. Lett. A 277, 61 (2000).

I. Shadrivov, A. Sukhorukov, Y. Kishvar, A. Zharov, A. Boardman, and P. Egan, "Non-linear surface waves in left-handed materials" Phys. Rev. E 69, 016617 (2004).

C. Soukoulis, T. Koschny, J. Zhou, M. Kafesak, and E. Economou, "Magnetic response of split ring resonators at terahertz frequencies" Phys. Stat. Sol. B 244, 1181-1187 (2007).

S. O'Brien, and J. B. Pendry, "Photonic band-gap effect and magnetic activity in dielectric composites" J. Phys. - Condens. Matter 14, 4035-4044 (2002).

J. Kong, B. Wu, and Y. Zhang, "Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability" Appl. Phys. Lett. 80, 2084 (2002).

D. Felbacq, and A. Moreau, "Direct evidence of negative refraction at media with negative e and _" J. Opt. A : Pure Appl. Op. 5, L9 (2003).