OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 7 — Jul. 1, 2002
  • pp: 1352–1359

Metallic inductive and capacitive grids: theory and experiment

B. K. Minhas, W. Fan, K. Agi, S. R. J. Brueck, and K. J. Malloy  »View Author Affiliations


JOSA A, Vol. 19, Issue 7, pp. 1352-1359 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001352


View Full Text Article

Acrobat PDF (429 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present theoretical modeling and experimental validation of both capacitive (dot) and inductive (hole) metallic crossed gratings in the mid-infrared (2–5 μm). The gratings are fabricated by use of interferometric lithography and modeled by use of rigorous coupled-wave analysis. Our experimental and numerical investigations of the transmittance spectra of these gratings suggest that, as in inductive grids, the behavior of capacitive grids is described by the coupling of the incident light into surface plasma waves.

© 2002 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1950) Diffraction and gratings : Diffraction gratings

Citation
B. K. Minhas, W. Fan, K. Agi, S. R. J. Brueck, and K. J. Malloy, "Metallic inductive and capacitive grids: theory and experiment," J. Opt. Soc. Am. A 19, 1352-1359 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-7-1352


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. T. K. Wu, “Frequency selective surface and grid array,” in Wiley Series in Microwave and Optical Engineering (Wiley, New York, 1995).
  2. R. Ulrich, “Far-infrared properties of metallic mesh and its complementary structure,” Infrared Phys. 7, 37–55 (1967).
  3. S. Peng and G. M. Morris, “Experimental demonstration of resonant anomalies in diffraction from two-dimensional gratings,” Opt. Lett. 21, 549–551 (1996).
  4. S. Peng and G. M. Morris, “Resonant scattering from two-dimensional gratings,” J. Opt. Soc. Am. A 13, 993–1005 (1996).
  5. C. M. Horwitz, “A new solar selective surface,” Opt. Commun. 11, 210–212 (1974).
  6. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
  7. A. Heinzel, V. Boerner, A. Gombert, B. Blasi, V. Wittwer, and J. Luther, “Radiation filters and emitters for the NIR based on periodically structured metal surfaces,” J. Mod. Opt. 47, 2399–2419 (2000).
  8. L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
  9. E. Popov, M. Nevière, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100–16108 (2000).
  10. M. G. Moharam, E. B. Grann, and D. A. Pommet, “Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,” J. Opt. Soc. Am. A 12, 1068–1076 (1995).
  11. L. Li, “New formulation of the Fourier modal method for crossed surface-relief gratings,” J. Opt. Soc. Am. A 14, 2758–2767 (1997).
  12. R. C. McPhedran, D. H. Dawes, L. C. Botten, and N. A. Nicorovici, “On-axis diffraction by perfectly conducting capacitive grids,” J. Electromagn. Waves Appl. 10, 1085–1111 (1996).
  13. L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and A. B. Movchan, “Off-axis diffraction by perfectly conducting capacitive grids: modal formulation and verification,” J. Electromagn. Waves Appl. 12, 847–882 (1998).
  14. X. Chen, S. H. Zaidi, and S. R. J. Brueck, “Interferometric lithography of sub-micrometer sparse hole arrays for field-emission display applications,” J. Vac. Sci. Technol. B 14, 3339–3349 (1996).
  15. E. Noponen and J. Turunen, “Eigenmode method for electromagnetic synthesis of diffractive elements with three-dimensional profiles,” J. Opt. Soc. Am. A 11, 2494–2502 (1994).
  16. R. Brauer and O. Bryngdahl, “Electromagnetic diffraction analysis of two-dimensional gratings,” Opt. Commun. 100, 1–5 (1993).
  17. S. Peng and G. M. Morris, “Efficient implementation of rigorous coupled-wave analysis for surface-relief gratings,” J. Opt. Soc. Am. A 12, 1087–1096 (1995).
  18. M. G. Moharam, “Coupled-wave analysis of two-dimensional dielectric gratings,” in Holographic Optics: Design and Applications, I. Cindrich, ed., Proc. SPIE Proc. SPIE 883, 8–11 (1988).
  19. C.-C. Chen, “Transmission through a conducting screen perforated periodically with apertures,” IEEE Trans. Microwave Theory Tech. 18, 627–632 (1970).
  20. R. Mittra, C. H. Chan, and T. Cwik, “Techniques for analyzing frequency selective surfaces—a review,” Proc. IEEE 76, 1593–1615 (1988).
  21. R. C. McPhedran and D. Maystre, “On the theory and solar application of inductive grids,” Appl. Phys. 14, 1–20 (1977).
  22. G. H. Derrick, R. C. McPhedran, D. Maystre, and M. Nevière, “Crossed gratings: a theory and its applications,” Appl. Phys. 18, 39–52 (1979).
  23. R. Petit, Electromagnetic Theory of Gratings, Vol. 22 of Topics in Current Physics (Springer-Verlag, Berlin, 1980).
  24. B. Harris, T. W. Preist, J. R. Sambles, R. N. Thorpe, and R. A. Watts, “Optical response of bigratings,” J. Opt. Soc. Am. A 13, 2041–2049 (1996).
  25. P. Vincent, “A finite-difference method for dielectric and conducting crossed gratings,” Opt. Commun. 26, 293–296 (1978).
  26. O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. III. Doubly periodic gratings,” J. Opt. Soc. Am. A 10, 2551–2562 (1993).
  27. V. Kettunen, M. Kuittinen, J. Turunen, and P. Vahimaa, “Spectral filtering with finitely conducting inductive grids,” J. Opt. Soc. Am. A 15, 2783–2785 (1998).
  28. N. Chateau, J. P. Hugonin, B. Guldimann, and P. Chavel, “Two-wave diffraction of quasi-monochromatic light by a volume grating deposited on a thick transparent plate,” Opt. Commun. 103, 444–452 (1993).
  29. L. Li, “Calculation of diffraction efficiencies of a grating made on a thick transparent plate,” Opt. Commun. 160, 15–21 (1999).
  30. L. Li, “Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings,” J. Opt. Soc. Am. A 13, 1024–1035 (1996).
  31. P. Lalanne and D. Lemercier-Lalanne, “On the effective medium theory of subwavelength periodic structures,” J. Mod. Opt. 43, 2063–2085 (1996).
  32. L. Li and C. W. Haggans, “Convergence of the coupled-wave method for metallic lamellar diffraction gratings,” J. Opt. Soc. Am. A 10, 1184–1189 (1993).
  33. P. Lalanne and G. M. Morris, “Highly improved convergence of the coupled-wave method for TM polarization,” J. Opt. Soc. Am. A 13, 779–784 (1996).
  34. R. Petit and G. Tayeb, “On the use of the energy balance criterion as a check of validity of computations in grating theory,” Application and Theory of Periodic Structures, Diffraction Gratings, and Moire Phenomena III, J. M. Lerner, ed., Proc. SPIE 815, 2–10 (1988).
  35. M. C. Hutley, Diffraction Gratings (Academic, New York, 1982).
  36. A. Hessel and A. A. Oliner, “A new theory of Wood’s anomalies on optical gratings,” Appl. Opt. 4, 1275–1297 (1965).
  37. T. J. Kim, T. Thio, T. W. Ebbesen, D. E. Grupp, and H. J. Lezec, “Control of optical transmission through metals perforated with subwavelength hole arrays,” Opt. Lett. 24, 256–258 (1999).
  38. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, Berlin, 1988).
  39. T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, “Surface-plasmon-enhanced transmission through hole arrays in Cr films,” J. Opt. Soc. Am. B 16, 1743–1748 (1999).
  40. R. W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Philos. Mag. 4, 396–402 (1902).
  41. E. D. Palik, Handbook of Optical Constants of Solids, Academic Press Handbook Series (Academic, Orlando, Fla., 1985).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited