Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

Diffraction of linearly polarized plane electromagnetic waves at the periodically corrugated boundary of vacuum and a linear, homogeneous, nondissipative, uniaxial dielectric-magnetic material is formulated as a boundary-value problem and solved using the differential method. Attention is paid to two classes of diffracting materials: those with negative definite permittivity and permeability tensors and those with indefinite permittivity and permeability tensors. The dispersion equations turn out to be elliptic for the first class of diffracting materials, whereas for the second class they can be hyperbolic, elliptic, or linear, depending on the orientation of the optic axis. When the dispersion equations are elliptic, the optical response of the grating is qualitatively similar to that for conventional gratings: a finite number of refraction channels are supported. On the other hand, hyperbolic or linear dispersion equations imply the possibility of an infinite number of refraction channels. This possibility seriously incapacitates the differential method as the corrugations deepen. © 2006 Optical Society of America.

Registro:

Documento: Artículo
Título:Vector theory of diffraction by gratings made of a uniaxial dielectric-magnetic material exhibiting negative refraction
Autor:Depine, R.A.; Inchaussandague, M.E.; Lakhtakia, A.
Filiación:Grupo de Electromagnetismo Aplicado, Departamento de Física, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas, Rivadavia 1917 Buenos Aires, Argentina
Computational and Theoretical Materials Sciences Group, Department of Engineering Science and Mechanics, Pennsylvania State University, University Park, PA 16802-6812, United States
Department of Physics, Imperial College, London SW7 2AZ, United Kingdom
Palabras clave:Boundary value problems; Dielectric materials; Differential equations; Electromagnetic wave refraction; Light polarization; Magnetic permeability; Permittivity; Tensors; Corrugated boundary; Optical response; Refraction channels; Diffraction gratings
Año:2006
Volumen:23
Número:3
Página de inicio:514
Página de fin:528
DOI: http://dx.doi.org/10.1364/JOSAB.23.000514
Título revista:Journal of the Optical Society of America B: Optical Physics
Título revista abreviado:J Opt Soc Am B
ISSN:07403224
CODEN:JOBPD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07403224_v23_n3_p514_Depine

Referencias:

  • Lakhtakia, A., McCall, M.W., Weiglhofer, W.S., "Negative phase-velocity mediums" Introduction to Complex Mediums for Optics and Electromagnetics (SPIE, 2003), , W. S. Weiglhofer and A. Lakhtakia, eds
  • Pendry, J.B., "Negative refraction" (2004) Contemp. Phys., 45, pp. 191-202
  • Ramakrishna, S.A., "Physics of negative refractive index materials" (2005) Rep. Prog. Phys., 68, pp. 449-521
  • McCall, M.W., Lakhtakia, A., Weiglhofer, W.S., "The negative index of refraction demystified" (2002) Eur. J. Phys., 23, pp. 353-359
  • Boardman, A.D., King, N., Velasco, L., "Negative refraction in perspective" (2005) Electromagnetics, 25, pp. 365-389
  • Mackay, T.G., Lakhtakia, A., "Plane waves with negative phase velocity in Faraday chiral mediums" (2004) Phys. Rev. E, 69, p. 026602
  • Parazzoli, C.G., Greegor, R.B., Li, K., Koltenbah, B.E.C., Tanielian, M., "Experimental verification and simulation of negative index of refraction using Snell's law" (2003) Phys. Rev. Lett., 90, p. 107401
  • Hu, L.B., Chui, S.T., "Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials" (2002) Phys. Rev. B, 66, p. 085108
  • Lakhtakia, A., Sherwin, J.A., "Orthorhombic materials and perfect lenses" (2003) Int. J. Infrared Millim. Waves, 24, pp. 19-23
  • Smith, D.R., Schurig, D., "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors" (2003) Phys. Rev. Lett., 90, p. 077405
  • Smith, D.R., Kolinko, P., Schurig, D., "Negative refraction in indefinite media" (2004) J. Opt. Soc. Am. B, 21, pp. 1032-1043
  • Maystre, D., Selected Papers on Diffraction Gratings, , ed. (SPIE, 1993)
  • Depine, R.A., Lakhtakia, A., "Plane-wave diffraction at the periodically corrugated boundary of vacuum and a negative-phase-velocity material" (2004) Phys. Rev. E, 69, p. 057602
  • Depine, R.A., Lakhtakia, A., "Perturbative approach for diffraction due to a periodically corrugated boundary between vacuum and a negative phase-velocity material" (2004) Opt. Commun., 233, pp. 277-282
  • Depine, R.A., Lakhtakia, A., "Diffraction gratings of isotropic negative phase-velocity materials" (2005) Optik, 116, pp. 31-43
  • Smith, D.R., Rye, P.M., Mock, J.J., Vier, D.C., Starr, A.F., "Enhanced diffraction from a grating on the surface of a negative-index metamaterial" (2004) Phys. Rev. Lett., 93, p. 137405
  • Depine, R.A., Lakhtakia, A., Smith, D.R., "Enhanced diffraction by a rectangular grating made of a negative phase-velocity (or negative index) material" (2005) Phys. Rev. A, 337, pp. 155-160
  • Depine, R.A., Lakhtakia, A., "Diffraction by a grating made of an uniaxial dielectric-magnetic medium exhibiting negative refraction" (2005) New J. Phys., 7, p. 158
  • Chandezon, J., Dupuis, M., Cornet, G., Maystre, D., "Multicoated gratings: A differential formalism applicable in the entire optical region" (1982) J. Opt. Soc. Am., 72, pp. 839-846
  • Li, L., "Oblique-coordinate-system-based Chandezon method for modeling one-dimensionally periodic, multilayer, inhomogeneous, anisotropic gratings" (1999) J. Opt. Soc. Am. A, 16, pp. 2521-2531
  • Li, L., Chandezon, J., Granet, G., Plumey, J.P., "Rigorous and efficient grating-analysis method made easy for optical engineers" (1999) Appl. Opt., 38, pp. 304-313
  • Inchaussandague, M.E., Depine, R.A., "Polarization conversion from diffraction gratings made of uniaxial crystals" (1996) Phys. Rev. E, 54, pp. 2899-2911
  • Inchaussandague, M.E., Depine, R.A., "Rigorous vector theory for diffraction gratings made of biaxial crystals" (1997) J. Mod. Opt., 44, pp. 1-27
  • Depine, R.A., Inchaussandague, M.E., Lakhtakia, A., "Application of the differential method to uniaxial gratings with an infinite number of refraction channels: Scalar case" (2006) Opt. Commun., 258, pp. 90-96
  • Lakhtakia, A., Varadan, V.K., Varadan, V.V., "Plane waves and canonical sources in a gyroelectromagnetic uniaxial medium" (1991) Int. J. Electron., 71, pp. 853-861
  • Lakhtakia, A., Varadan, V.K., Varadan, V.V., "Reflection and transmission of plane waves at the planar interface of a general uniaxial medium and free space" (1991) J. Mod. Opt., 38, pp. 649-657
  • Depine, R.A., Inchaussandague, M.E., Lakhtakia, A., "Classification of dispersion equations for homogeneous dielectric-magnetic uniaxial materials" J. Opt. Soc. Am. A, , (to be published)
  • Lütkepohl, H., (1996) Handbook of Matrices, , (Wiley)
  • Chen, H.C., (1983) Theory of Electromagnetic Waves: A Coordinate-Free Approach, , (McGraw-Hill)
  • Narasimhan, M.N.L., (1993) Principles of Continuum Mechanics, , (Wiley)
  • note; Lakhtakia, A., "On planewave remittances and Goos-Hänchen shifts of planar slabs with negative real permittivity and permeability" (2003) Electromagnetics, 23, pp. 71-75
  • Lakhtakia, A., McCall, M.W., "Counterposed phase velocity and energy-transport velocity vectors in a dielectric-magnetic uniaxial medium" (2004) Optik, 115, pp. 28-30. , (Stuttgart)
  • note

Citas:

---------- APA ----------
Depine, R.A., Inchaussandague, M.E. & Lakhtakia, A. (2006) . Vector theory of diffraction by gratings made of a uniaxial dielectric-magnetic material exhibiting negative refraction. Journal of the Optical Society of America B: Optical Physics, 23(3), 514-528.
http://dx.doi.org/10.1364/JOSAB.23.000514
---------- CHICAGO ----------
Depine, R.A., Inchaussandague, M.E., Lakhtakia, A. "Vector theory of diffraction by gratings made of a uniaxial dielectric-magnetic material exhibiting negative refraction" . Journal of the Optical Society of America B: Optical Physics 23, no. 3 (2006) : 514-528.
http://dx.doi.org/10.1364/JOSAB.23.000514
---------- MLA ----------
Depine, R.A., Inchaussandague, M.E., Lakhtakia, A. "Vector theory of diffraction by gratings made of a uniaxial dielectric-magnetic material exhibiting negative refraction" . Journal of the Optical Society of America B: Optical Physics, vol. 23, no. 3, 2006, pp. 514-528.
http://dx.doi.org/10.1364/JOSAB.23.000514
---------- VANCOUVER ----------
Depine, R.A., Inchaussandague, M.E., Lakhtakia, A. Vector theory of diffraction by gratings made of a uniaxial dielectric-magnetic material exhibiting negative refraction. J Opt Soc Am B. 2006;23(3):514-528.
http://dx.doi.org/10.1364/JOSAB.23.000514