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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 20 — Sep. 24, 2012
  • pp: 22830–22846

The light filtering and guiding properties of high finesse phase resonant compound gratings

Igor Bendoym, Andrii B. Golovin, and David T. Crouse  »View Author Affiliations

Optics Express, Vol. 20, Issue 20, pp. 22830-22846 (2012)

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Phase resonances in compound gratings are studied in the frequency and time domains, with the gratings having two dissimilar grooves within the unit cell that each support waveguide cavity modes that couple. Described in this work are the dependence of the phase resonances’ Q on the degree of difference between the grooves in the unit cell, their optical properties, a closed-form expression describing their dispersion, their excitation, and the extraction of energy from the phase resonances into free space and into a waveguide. Application to optical filters and corrugated surface antennas are discussed.

© 2012 OSA

OCIS Codes
(120.2440) Instrumentation, measurement, and metrology : Filters
(230.1950) Optical devices : Diffraction gratings
(230.5750) Optical devices : Resonators
(230.7380) Optical devices : Waveguides, channeled
(240.6680) Optics at surfaces : Surface plasmons
(240.6690) Optics at surfaces : Surface waves
(160.1245) Materials : Artificially engineered materials
(160.3918) Materials : Metamaterials
(160.5298) Materials : Photonic crystals
(130.7408) Integrated optics : Wavelength filtering devices
(230.7408) Optical devices : Wavelength filtering devices

ToC Category:
Diffraction and Gratings

Original Manuscript: July 3, 2012
Revised Manuscript: August 29, 2012
Manuscript Accepted: August 29, 2012
Published: September 20, 2012

Igor Bendoym, Andrii B. Golovin, and David T. Crouse, "The light filtering and guiding properties of high finesse phase resonant compound gratings," Opt. Express 20, 22830-22846 (2012)

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  1. R. A. Depine, A. N. Fantino, S. I. Grosz, and D. C. Skigin, “Phase resonances in obliquely illuminated compound gratings,” Optik 118, 42–52 (2007). [CrossRef]
  2. M. Beruete, M. Navarro-Ćia, M. Sorolla, and D. Skigin, “Millimeter-wave phase resonances in compound reflection gratings with subwavelength grooves.” Opt. Express 18, 23957–23964 (2010). [CrossRef] [PubMed]
  3. M. Navarro-Cia, D. C. Skigin, M. Beruete, and M. Sorolla, “Experimental demonstration of phase resonances in metallic compound gratings with subwavelength slits in the millimeter wave regime,” Appl. Phys. Lett. 94, 091107 (2009). [CrossRef]
  4. A. Hibbins, I. Hooper, M. Lockyear, and J. Sambles, “Microwave Transmission of a Compound Metal Grating,” Phys. Rev. Lett. 96, 257402 (2006). [CrossRef] [PubMed]
  5. H. J. Rance, O. K. Hamilton, J. R. Sambles, and A. P. Hibbins, “Phase resonances on metal gratings of identical, equally spaced alternately tapered slits,” Appl. Phys. Lett. 95, 041905 (2009). [CrossRef]
  6. D. C. Skigin and R. A. Depine, “Resonances on metallic compound transmission gratings with subwavelength wires and slits,” Opt. Commun. 262, 270–275 (2006). [CrossRef]
  7. D. Skigin and R. Depine, “Narrow gaps for transmission through metallic structured gratings with subwavelength slits,” Phys. Rev. E 74, 046606 (2006). [CrossRef]
  8. D. Crouse, E. Jaquay, A. Maikal, and A. P. Hibbins, “Light circulation and weaving in periodically patterned structures,” Phys. Rev. B 77, 195437 (2008).
  9. A. Barbara, J. Le Perchec, S. Collin, C. Sauvan, J.-L. Pelouard, T. López-Ríos, and P. Quémerais, “Generation and control of hot spots on commensurate metallic gratings.” Opt. Express 16, 19127–35 (2008). [CrossRef]
  10. A. Barbara, S. Collin, C. Sauvan, J. Le Perchec, C. Maxime, J.-L. Pelouard, and P. Quémerais, “Plasmon dispersion diagram and localization effects in a three-cavity commensurate grating.” Opt. Express 18, 14913–25 (2010). [CrossRef] [PubMed]
  11. D. Smith, H. Chang, K. Fuller, A. Rosenberger, and R. Boyd, “Coupled-resonator-induced transparency,” Phys. Rev. A 69, 1–6 (2004). [CrossRef]
  12. Q. Xu, J. Shakya, and M. Lipson, “Direct measurement of tunable optical delays on chip analogue to electromagnetically induced transparency.” Opt. Express 14, 6463–6468 (2006). [CrossRef] [PubMed]
  13. Y.-F. Xiao, X.-B. Zou, W. Jiang, Y.-L. Chen, and G.-C. Guo, “Analogue to multiple electromagnetically induced transparency in all-optical drop-filter systems,” Phys. Rev. A 75, 4 (2007). [CrossRef]
  14. X. Yang, M. Yu, D.-L. Kwong, and C. W. Wong, “All-optical analog to electromagnetically induced transparency in multiple coupled photonic crystal cavities,” Phys. Rev. Lett. 102, 173902 (2009). [CrossRef] [PubMed]
  15. R. S. Penciu, K. Aydin, M. Kafesaki, T. Koschny, E. Ozbay, E. N. Economou, and C. M. Soukoulis, “Multi-gap individual and coupled split-ring resonator structures.” Opt. Express 16, 18131–18144 (2008). [CrossRef] [PubMed]
  16. D. Crouse, “Numerical modeling and electromagnetic resonant modes in complex grating structures and opto-electronic device applications,” IEEE Trans. Electron Dev. 52, 2365–2373 (2005). [CrossRef]
  17. D. Crouse and P. Keshavareddy, “Polarization independent enhanced optical transmission in one-dimensional gratings and device applications,” Opt. Express 15, 1415–1427 (2007). [CrossRef] [PubMed]
  18. I. M. Mandel, A. B. Golovin, and D. T. Crouse, “The dispersion relation of phase resonances in compound transmission gratings calculated using an analytic model,” Submitted (2012).
  19. M. Navarro-Cia, D. C. Skigin, M. Beruete, and M. Sorolla, “Experimental demonstration of phase resonances in metallic compound gratings with subwavelength slits in the millimeter wave regime,” Appl. Phys. Lett. 94, 091107 (2009). [CrossRef]
  20. Z. Qiang, W. Zhou, and R. A. Soref, “Optical add-drop filters based on photonic crystal ring resonators.” Opt. Express 15, 1823–1831 (2007). [CrossRef] [PubMed]
  21. A. D. Rakić, “Algorithm for the determination of intrinsic optical constants of metal films: application to aluminum.” Appl. Opt. 34, 4755–4767 (1995). [CrossRef]
  22. V. V. Veremey, R. Mittra, and L. Fellow, “Scattering from structures formed by resonant elements,” IEEE Trans. Antennas Propag. 46, 494–501 (1998). [CrossRef]
  23. D. C. Skigin, V. V. Veremey, R. Mittra, and L. Fellow, “Superdirective radiation from finite gratings of rectangular grooves,” IEEE Trans. Antennas Propag. 47, 376–383 (1999). [CrossRef]
  24. C. I. Valencia and D. C. Skigin, “Anomalous reflection in a metallic plate with subwavelength grooves of circular cross section.” Appl. Opt. 48, 5863–5870 (2009). [CrossRef]
  25. C. C. Culter, Bell Telephone Laboratories, Report MM-44-160-218 (1944).
  26. M. Ehrlich and L. Newkirk, “Corrugated surface antennas,” (1953).
  27. R. S. Elliot, “Antenna Theory and Design,” in “Antenna Theory and Design,”, D. Dudley, ed. (Wiley-Interscience, 2003), pp. 440–452, revised ed.

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