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

Volumn 23, Issue 3, 2006, Pages 514-528

  Depine, Ricardo A ^a,b   Inchaussandague, Marina E ^a,b   Lakhtakia, Akhlesh ^c,d  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b Consejo Nacional de Investigaciones Científicas y Técnicas ^*  (Argentina)

^c The Pennsylvania State University   (United States)

^d IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIELECTRIC MATERIALS; DIFFERENTIAL EQUATIONS; ELECTROMAGNETIC WAVE REFRACTION; LIGHT POLARIZATION; MAGNETIC PERMEABILITY; PERMITTIVITY; TENSORS;

CORRUGATED BOUNDARY; OPTICAL RESPONSE; REFRACTION CHANNELS;

DIFFRACTION GRATINGS;

EID: 33645746433     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.23.000514     Document Type: Article

References (34)

1. A. Lakhtakia, M. W. McCall, and W. S. Weiglhofer, "Negative phase-velocity mediums," in W. S. Weiglhofer and A. Lakhtakia, eds., Introduction to Complex Mediums for Optics and Electromagnetics (SPIE, 2003).
2. J. B. Pendry, "Negative refraction," Contemp. Phys. 45, 191-202 (2004).
3. S. A. Ramakrishna, "Physics of negative refractive index materials," Rep. Prog. Phys. 68, 449-521 (2005).
4. M. W. McCall, A. Lakhtakia, and W. S. Weiglhofer, "The negative index of refraction demystified," Eur. J. Phys. 23, 353-359 (2002).
5. A. D. Boardman, N. King, and L. Velasco, "Negative refraction in perspective," Electromagnetics 25, 365-389 (2005).
6. T. G. Mackay and A. Lakhtakia, "Plane waves with negative phase velocity in Faraday chiral mediums," Phys. Rev. E 69, 026602 (2004).
7. C. G. Parazzoli, R. B. Greegor, L. Li, B. E. C. Koltenbah, and M. Tanielian, "Experimental verification and simulation of negative index of refraction using Snell's law," Phys. Rev. Lett. 90, 107401 (2003).
8. L. B. Hu and S. T. Chui, "Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials," Phys. Rev. B 66, 085108 (2002).
9. A. Lakhtakia and J. A. Sherwin, "Orthorhombic materials and perfect lenses," Int. J. Infrared Millim. Waves 24, 19-23 (2003).
10. D. R. Smith and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett. 90, 077405 (2003).
11. D. R. Smith, P. Kolinko, and D. Schurig, "Negative refraction in indefinite media," J. Opt. Soc. Am. B 21, 1032-1043 (2004).
12. D. Maystre, ed., Selected Papers on Diffraction Gratings (SPIE, 1993).
13. R. A. Depine and A. Lakhtakia, "Plane-wave diffraction at the periodically corrugated boundary of vacuum and a negative-phase-velocity material," Phys. Rev. E 69, 057602 (2004).
14. R. A. Depine and A. Lakhtakia, "Perturbative approach for diffraction due to a periodically corrugated boundary between vacuum and a negative phase-velocity material," Opt. Commun. 233, 277-282 (2004).
15. R. A. Depine and A. Lakhtakia, "Diffraction gratings of isotropic negative phase-velocity materials," Optik 116, 31-43 (2005).
16. D. R. Smith, P. M. Rye, J. J. Mock, D. C. Vier, and A. F. Starr, "Enhanced diffraction from a grating on the surface of a negative-index metamaterial," Phys. Rev. Lett. 93, 137405 (2004).
17. R. A. Depine, A. Lakhtakia, and D. R. Smith, "Enhanced diffraction by a rectangular grating made of a negative phase-velocity (or negative index) material," Phys. Rev. A 337, 155-160 (2005).
18. R. A. Depine and A. Lakhtakia, "Diffraction by a grating made of an uniaxial dielectric-magnetic medium exhibiting negative refraction," New J. Phys. 7, 158 (2005).
19. J. Chandezon, M. Dupuis, G. Cornet, and D. Maystre, "Multicoated gratings: a differential formalism applicable in the entire optical region," J. Opt. Soc. Am. 72, 839-846 (1982).
20. L. Li, "Oblique-coordinate-system-based Chandezon method for modeling one-dimensionally periodic, multilayer, inhomogeneous, anisotropic gratings," J. Opt. Soc. Am. A 16, 2521-2531 (1999).
21. L. Li, J. Chandezon, G. Granet, and J. P. Plumey, "Rigorous and efficient grating-analysis method made easy for optical engineers," Appl. Opt. 38, 304-313 (1999).
22. M. E. Inchaussandague and R. A. Depine, "Polarization conversion from diffraction gratings made of uniaxial crystals," Phys. Rev. E 54, 2899-2911 (1996).
23. M. E. Inchaussandague and R. A. Depine, "Rigorous vector theory for diffraction gratings made of biaxial crystals," J. Mod. Opt. 44, 1-27 (1997).
24. R. A. Depine, M. E. Inchaussandague, and A. Lakhtakia, "Application of the differential method to uniaxial gratings with an infinite number of refraction channels: scalar case," Opt. Commun. 258, 90-96 (2006).
25. A. Lakhtakia, V. K. Varadan, and V. V. Varadan, "Plane waves and canonical sources in a gyroelectromagnetic uniaxial medium," Int. J. Electron. 71, 853-861 (1991).
26. A. Lakhtakia, V. K. Varadan, and V. V. Varadan, "Reflection and transmission of plane waves at the planar interface of a general uniaxial medium and free space," J. Mod. Opt. 38, 649-657 (1991).
27. R. A. Depine, M. E. Inchaussandague, and A. Lakhtakia, "Classification of dispersion equations for homogeneous dielectric-magnetic uniaxial materials," J. Opt. Soc. Am. A (to be published).
28. H. Lütkepohl, Handbook of Matrices (Wiley, 1996).
29. H. C. Chen, Theory of Electromagnetic Waves: A Coordinate-Free Approach (McGraw-Hill, 1983).
30. M. N. L. Narasimhan, Principles of Continuum Mechanics (Wiley, 1993).
31. The term diffraction efficiency encompasses both reflection efficiency and refraction efficiency.
32. A. Lakhtakia, "On planewave remittances and Goos-Hänchen shifts of planar slabs with negative real permittivity and permeability," Electromagnetics 23, 71-75 (2003).
33. A. Lakhtakia and M. W. McCall, "Counterposed phase velocity and energy-transport velocity vectors in a dielectric-magnetic uniaxial medium," Optik (Stuttgart) 115, 28-30 (2004).
34. Our limited computational resources did not allow us to check for h/ d>3.0.