Simulation and analysis of exotic non-specular phenomena

F. Krayzel; R. PollÃ¨s; A. Moreau; M. Mihailovic; G. Granet

doi:10.2971/jeos.2010.10025

Journal of the European Optical Society - Rapid publications, Vol 5 (2010)

Simulation and analysis of exotic non-specular phenomena

F. Krayzel, R. PollÃ¨s, A. Moreau, M. Mihailovic, G. Granet

Abstract

When coupled modes are excited in a multilayered structure, the profile of the reflected beam presents exotic characteristics like unexpectedly large lateral shifts or beam enlargment. These results are surprising because they are not accounted for by classical approaches (Artmann's formula or Tamir's description of the reflected beam's profile). Studying such situations requires reliable numerical tools - that is why our programmes are published with this paper. Such tools can be used to understand the behaviour of any multi-layered structure.

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References

H. K. V. Lotsch, "Reflection and Refraction of a Beam of Light at a Plane Interface" J. Opt. Soc. Am. 58, 551 (1968).

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

K. Artmann, "Berechnung der Seitenversetzung des totalreflektierten Strahles" Ann. Phys. 437, 87 (1948).

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

B. A. Anicin, R. Farlic, and M. Kopric, "Theoretical evidence for negative Goos-Haenchen shifts" J. Phys. A : Math. Gen. 11, 1657 (1978).

W. J. Wild, and A. Giles, "Goos-Haenchen shifts from absorbing media" Phys. Rev. A 25, 2099 (1982).

V. Shah, and T. Tamir, "Absorption and lateral shift of beams incident upon lossy multilayered media" J. Opt. Soc. Am. 73, 37 (1983).

T. Tamir, "Nonspecular phenomena in beam fields reflected by multilayered media" J. Opt. Soc. Am A 3, 558 (1986).

V. Veselago, "The Electrodynamics of substances with simultaneously negative values of e and m" 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).

J. B. Pendry, "Negative refraction makes a perfect lens" Phys. Rev. Lett. 85, 3966 (2000).

I. Shadrivov, A. Sukhorukov, and Y. Kivshar, "Complete band gaps in one-dimensional left-handed periodic structures" Phys. Rev. Lett. 95, 193903 (2005).

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).

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

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

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).

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

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).

A. Moreau, and D. Felbacq, "Leaky modes of a left-handed slab" J. Europ. Opt. Soc. : Rap. Pub. 3, 08032 (2008).

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

L. G. Wang, and S. Y. Zhu, "Giant lateral shift of a light beam at the defect mode in one-dimensional photonic crystals" Opt. Lett. 31, 101 (2006).

J. He, J. Yi, and S. He, "Giant negative Goos-Haenchen shifts for a photonic crystal with a negative effective index" Opt. Express 14, 3024 (2006).

C. F. Li, "Negative Lateral Shift of a Light Beam Transmitted through a Dielectric Slab and Interaction of Boundary Effects" Phys. Rev. Lett. 91, 133903 (2003).

H. M. Lai, and S. W. Chan, "Large and negative Goos-Haenchen shift near the Brewster dip on reflection from weakly absorbing media" Opt. Lett. 27, 680 (2002).

X. Liu, Z. Cao, P. Zhu, Q. Shen, and X. Liu, "Large positive and negative lateral optical beam shift in prism-waveguide coupling system" Phys. Rev. E 73, 056617 (2006).

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).

M. Merano, A. Aiello, M. P. van Exter, and J. P. Woerdman, "Observing angular deviations in the specular reflection of a light beam" Nat. Photonics 3, 337 (2009).

N. J. Harrick, "Study of Physics and Chemistry of Surfaces from Frustrated Total Internal Reflections" Phys. Rev. Lett. 4, 224 (1960).

B. R. Horowitz, and T. Tamir, "Lateral Displacement of a Light Beam at a Dielectric Interface" J. Opt. Soc. Am. 61, 586 (1971).

Y. Wang, Y. Liu, J. Xu, H. Zhang, L. Bai, Y. Xiao, J. Yan, and X. Zhang, "Numerical study of lateral displacements of Gaussian beams reflected from weakly absorbing media near the Brewster dip and reflected from strongly absorbing media" J. Opt. A : Pure Appl. Opt. 11, 105701 (2009).

M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, "Negative refraction and subwavelength focusing in the visible range using transparent metallo-dielectric stacks" Opt. Express 15, 508 (2007).

A. Cabuz, D. Felbacq, and D. Cassagne, "Spatial dispersion in negative-index composite metamaterials" Phys. Rev. A 77, 013807 (2008).

H. Rigneault, F. Lemarchand, A. Sentenac, and H. Giovannini, "Strong extraction coefficient for sources located inside waveguide grating structures" J. Opt. A : Pure Appl. Opt. 1, 507 (1999).

L. Li, "Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings" J. Opt. Soc. Am. A 13, 1024-1035 (1996).

M. A. Parker, Physics of optoelectronics (Marcel Dekker Inc., 2005).

F. Abelès, "Recherche sur la propagation des ondes électromagnétiques sinusoïdales dans les milieux stratifiés : Application aux couches minces" Ann. Phys. 5, 596 (1950).

D. Felbacq, B. Guizal, and F. Zolla, "Wave propagation in onedimensional photonic crystals" Opt. Commun. 152, 119-126 (1998).

L. Yuan and Y. Y. Lu, "An Efficient Bidirectional Propagation Method Based on Dirichlet-to-Neumann Maps" IEEE Photon. Tech. L. 18, 1967-1969 (2006).

E. H. R. W. Ziolkowski, "Wave propagation in media having negative permittivity and permeability" Phys. Rev. E 64, 056625 (2001).

P. W. Milonni, Fast light, slow light and left-handed light (Institute of Physics, Bristol, 2005).

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