Abstract

We present a numerical study of whispering modes in gratings made of fibers. Due to the strong localization of the modes inside each fiber, it is possible to obtain narrow-band filters with very broad angular tolerance.

© 2007 Optical Society of America

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  1. R. W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Phylos. Mag. 4, 396–402 (1902).
  2. L. Mashev and E. Popov, “Zero order anomaly of dielectric coated grating,” Opt. Commun. 55, 377–380 (1985).
    [Crossref]
  3. G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tischenko, E. Popov, and L. Mashev, “Diffraction characteristics of Planar corrugated waveguides,” Opt. Quantum. Electron. 18, 123–128 (1986).
    [Crossref]
  4. S. Wang, R. Magnusson, J. Bagby, and M. Moharam, “Guided-mode resonances in planar dielectric-layer diffraction gratings,” J. Opt. Soc. A 7, 1470–1474 (1990).
    [Crossref]
  5. E. Popov, L. Mashev, and D. Maystre, “Theoretical Study of the Anomalies of Coated Dielectric Gratings,” Opt. Acta 33, 607–619 (1986).
    [Crossref]
  6. D. Maystre and R. Petit, “Brewster incidence for metallic gratings,” Opt. Commun. 17, 196–200 (1976).
    [Crossref]
  7. E. Popov, S. Enoch, G. Tayeb, M. Nevière, B. Gralak, and N. Bonod, “Enhanced transmission due to non-plasmon resonances in one and two dimensional gratings,” Appl. Opt. 43, 999–1008 (2004).
    [Crossref] [PubMed]
  8. P. Lalanne, J.-P. Hugonin, and P. Chavel, “Optical properties of deep lamellar gratings: A coupled Bloch-mode insight,” J. Lightwave Technol. 24, 2442–2449 (2006).
    [Crossref]
  9. E. Popov and B. Bozhkov, “Corrugated waveguides as resonance optical filters — advantages and limitations,” J. Opt. Soc. Am. A 18, 1758–1764 (2001).
    [Crossref]
  10. F. Lemarchand, A. Sentenac, and H. Giovannini, “Increasing the angular tolerance of resonant grating filters with doubly periodic structures,” Opt. Lett. 23, 1149–1151 (1998).
    [Crossref]
  11. D. Brundrett, E. Glytsis, T. Gaylord, and J. Bendickson, “Effects of modulation strength in guided-mode resonant subwavelength gratings at normal incidence,” J. Opt. Soc. Am. A 17, 1221–1230 (2000).
    [Crossref]
  12. Lord Rayleigh, “Whispering gallery modes,” Phil. Mag.20, 1001–1004 (1910); idem “The problem of the Whispering Gallery,” Scientific Papers5, 617–620, Cambridge University, Cambridge (1912).
  13. H. Mahlein, “Fiber-optic communication in the wavelength-division multiplex mode,” Fiber Integr. Opt. 4, 339–372 (1983).
    [Crossref]
  14. C. M. de Blok and P. Mathiesse, “Core alignment procedure for single-mode-fiber jointing,” Electron. Lett. 20, 109–110 (1984).
    [Crossref]
  15. R. Morgan, J. S. Barton, P. G. Harper, and J. D. C. Jones, “Wavelength dependence of bending loss in monomode optical fibers: effect of the fiber buffer coating,” Opt. Lett. 15, 947–949 (1990).
    [Crossref] [PubMed]
  16. F. M. Haran, J. S. Barton, and J. D. C. Jones, “Determination of monomode fiber buffer properties from bend-loss measurements,” Opt. Lett. 18, 1618–1620 (1993).
    [Crossref] [PubMed]
  17. R. Morgan, J. D. C. Jones, J. S. Barton, and P. G. Harper, “Determination of monomode fiber buffer properties,” IEEE J. Lightwave Technol. 12, 1355 (1994).
    [Crossref]
  18. F. M. Haran, J. S. Barton, S. R. Kidd, and J. D. C. Jones, “Optical-fiber interferometric sensors using buffer guided light,” Meas. Sci. Technol. 5, 526–530 (1994).
    [Crossref]
  19. F. M. Haran, J. S. Barton, and J. D. C. Jones, “Bend loss in buffered over-moded optical-fiber - LP11 mode and whispering-gallery mode interaction,” Electron. Lett. 30, 1433–1434 (1994).
    [Crossref]
  20. Y. Powell-Friend, L. Phillips, T. George, and A. Sharma, “A simple technique for investigating whispering gallery modes in optical fibers,” Rev. Sci; Instrum. 69, 2868–2870 (1998).
    [Crossref] [PubMed]
  21. S. Oliver, C. Smith, M. Rattier, H. Benisty, C. Weisbuch, T. Krauss, R. Houdre, and U. Oesterle, “Miniband transmission in a photonic crystal coupled-resonator optical waveguide,” Opt. Lett. 26, 1019–1021 (2001).
    [Crossref]
  22. T. D. Happ, M. Kamp, A. Forchel, J.-L. Gentner, and L. Goldstein, “Two-dimensional photonic crystal coupled-defect laser diode,” Appl. Phys. Lett. 82, 4–6 (2003).
    [Crossref]
  23. A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
    [Crossref]
  24. S Deng, W. Cai, and V. Asratov, “Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides,” Opt. Express 12, 6468–6480 (2004).
    [Crossref] [PubMed]
  25. D. Maystre and R. Petit, Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980), Chap. 3.
  26. G. Niederer, H. P. Herzig, J. Shamir, H. Thiele, M. Schnieper, and C. Zschokke, “Tunable, oblique incidence resonant grating filter for telecommunications,” Appl. Opt. 43, 1683–1694 (2004).
    [Crossref] [PubMed]
  27. D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by a random set of parallel cylinders,” J. Opt. Soc. Am. A 11, 2526–2538 (1994).
    [Crossref]
  28. G. Tayeb and D. Maystre, “Rigorous theoretical study of finite size two-dimensional photonic crystals doped by microcavities,” J. Opt. Soc. Am. A 14, 3323–3332 (1997).
    [Crossref]

2006 (1)

2004 (3)

2003 (2)

T. D. Happ, M. Kamp, A. Forchel, J.-L. Gentner, and L. Goldstein, “Two-dimensional photonic crystal coupled-defect laser diode,” Appl. Phys. Lett. 82, 4–6 (2003).
[Crossref]

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

2001 (2)

2000 (1)

1998 (2)

Y. Powell-Friend, L. Phillips, T. George, and A. Sharma, “A simple technique for investigating whispering gallery modes in optical fibers,” Rev. Sci; Instrum. 69, 2868–2870 (1998).
[Crossref] [PubMed]

F. Lemarchand, A. Sentenac, and H. Giovannini, “Increasing the angular tolerance of resonant grating filters with doubly periodic structures,” Opt. Lett. 23, 1149–1151 (1998).
[Crossref]

1997 (1)

1994 (4)

D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by a random set of parallel cylinders,” J. Opt. Soc. Am. A 11, 2526–2538 (1994).
[Crossref]

R. Morgan, J. D. C. Jones, J. S. Barton, and P. G. Harper, “Determination of monomode fiber buffer properties,” IEEE J. Lightwave Technol. 12, 1355 (1994).
[Crossref]

F. M. Haran, J. S. Barton, S. R. Kidd, and J. D. C. Jones, “Optical-fiber interferometric sensors using buffer guided light,” Meas. Sci. Technol. 5, 526–530 (1994).
[Crossref]

F. M. Haran, J. S. Barton, and J. D. C. Jones, “Bend loss in buffered over-moded optical-fiber - LP11 mode and whispering-gallery mode interaction,” Electron. Lett. 30, 1433–1434 (1994).
[Crossref]

1993 (1)

1990 (2)

R. Morgan, J. S. Barton, P. G. Harper, and J. D. C. Jones, “Wavelength dependence of bending loss in monomode optical fibers: effect of the fiber buffer coating,” Opt. Lett. 15, 947–949 (1990).
[Crossref] [PubMed]

S. Wang, R. Magnusson, J. Bagby, and M. Moharam, “Guided-mode resonances in planar dielectric-layer diffraction gratings,” J. Opt. Soc. A 7, 1470–1474 (1990).
[Crossref]

1986 (2)

E. Popov, L. Mashev, and D. Maystre, “Theoretical Study of the Anomalies of Coated Dielectric Gratings,” Opt. Acta 33, 607–619 (1986).
[Crossref]

G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tischenko, E. Popov, and L. Mashev, “Diffraction characteristics of Planar corrugated waveguides,” Opt. Quantum. Electron. 18, 123–128 (1986).
[Crossref]

1985 (1)

L. Mashev and E. Popov, “Zero order anomaly of dielectric coated grating,” Opt. Commun. 55, 377–380 (1985).
[Crossref]

1984 (1)

C. M. de Blok and P. Mathiesse, “Core alignment procedure for single-mode-fiber jointing,” Electron. Lett. 20, 109–110 (1984).
[Crossref]

1983 (1)

H. Mahlein, “Fiber-optic communication in the wavelength-division multiplex mode,” Fiber Integr. Opt. 4, 339–372 (1983).
[Crossref]

1976 (1)

D. Maystre and R. Petit, “Brewster incidence for metallic gratings,” Opt. Commun. 17, 196–200 (1976).
[Crossref]

1902 (1)

R. W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Phylos. Mag. 4, 396–402 (1902).

Asratov, V.

Astratov, V. N.

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Bagby, J.

S. Wang, R. Magnusson, J. Bagby, and M. Moharam, “Guided-mode resonances in planar dielectric-layer diffraction gratings,” J. Opt. Soc. A 7, 1470–1474 (1990).
[Crossref]

Barton, J. S.

R. Morgan, J. D. C. Jones, J. S. Barton, and P. G. Harper, “Determination of monomode fiber buffer properties,” IEEE J. Lightwave Technol. 12, 1355 (1994).
[Crossref]

F. M. Haran, J. S. Barton, S. R. Kidd, and J. D. C. Jones, “Optical-fiber interferometric sensors using buffer guided light,” Meas. Sci. Technol. 5, 526–530 (1994).
[Crossref]

F. M. Haran, J. S. Barton, and J. D. C. Jones, “Bend loss in buffered over-moded optical-fiber - LP11 mode and whispering-gallery mode interaction,” Electron. Lett. 30, 1433–1434 (1994).
[Crossref]

F. M. Haran, J. S. Barton, and J. D. C. Jones, “Determination of monomode fiber buffer properties from bend-loss measurements,” Opt. Lett. 18, 1618–1620 (1993).
[Crossref] [PubMed]

R. Morgan, J. S. Barton, P. G. Harper, and J. D. C. Jones, “Wavelength dependence of bending loss in monomode optical fibers: effect of the fiber buffer coating,” Opt. Lett. 15, 947–949 (1990).
[Crossref] [PubMed]

Bendickson, J.

Benisty, H.

Bonod, N.

Bozhkov, B.

Bristow, A. D.

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Brundrett, D.

Cai, W.

Chavel, P.

de Blok, C. M.

C. M. de Blok and P. Mathiesse, “Core alignment procedure for single-mode-fiber jointing,” Electron. Lett. 20, 109–110 (1984).
[Crossref]

Deng, S

Enoch, S.

Felbacq, D.

Forchel, A.

T. D. Happ, M. Kamp, A. Forchel, J.-L. Gentner, and L. Goldstein, “Two-dimensional photonic crystal coupled-defect laser diode,” Appl. Phys. Lett. 82, 4–6 (2003).
[Crossref]

Gaylord, T.

Gehring, G. A.

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Gentner, J.-L.

T. D. Happ, M. Kamp, A. Forchel, J.-L. Gentner, and L. Goldstein, “Two-dimensional photonic crystal coupled-defect laser diode,” Appl. Phys. Lett. 82, 4–6 (2003).
[Crossref]

George, T.

Y. Powell-Friend, L. Phillips, T. George, and A. Sharma, “A simple technique for investigating whispering gallery modes in optical fibers,” Rev. Sci; Instrum. 69, 2868–2870 (1998).
[Crossref] [PubMed]

Giovannini, H.

Glytsis, E.

Goldstein, L.

T. D. Happ, M. Kamp, A. Forchel, J.-L. Gentner, and L. Goldstein, “Two-dimensional photonic crystal coupled-defect laser diode,” Appl. Phys. Lett. 82, 4–6 (2003).
[Crossref]

Golubenko, G. A.

G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tischenko, E. Popov, and L. Mashev, “Diffraction characteristics of Planar corrugated waveguides,” Opt. Quantum. Electron. 18, 123–128 (1986).
[Crossref]

Gralak, B.

Groucher, M. P.

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Happ, T. D.

T. D. Happ, M. Kamp, A. Forchel, J.-L. Gentner, and L. Goldstein, “Two-dimensional photonic crystal coupled-defect laser diode,” Appl. Phys. Lett. 82, 4–6 (2003).
[Crossref]

Haran, F. M.

F. M. Haran, J. S. Barton, and J. D. C. Jones, “Bend loss in buffered over-moded optical-fiber - LP11 mode and whispering-gallery mode interaction,” Electron. Lett. 30, 1433–1434 (1994).
[Crossref]

F. M. Haran, J. S. Barton, S. R. Kidd, and J. D. C. Jones, “Optical-fiber interferometric sensors using buffer guided light,” Meas. Sci. Technol. 5, 526–530 (1994).
[Crossref]

F. M. Haran, J. S. Barton, and J. D. C. Jones, “Determination of monomode fiber buffer properties from bend-loss measurements,” Opt. Lett. 18, 1618–1620 (1993).
[Crossref] [PubMed]

Harper, P. G.

R. Morgan, J. D. C. Jones, J. S. Barton, and P. G. Harper, “Determination of monomode fiber buffer properties,” IEEE J. Lightwave Technol. 12, 1355 (1994).
[Crossref]

R. Morgan, J. S. Barton, P. G. Harper, and J. D. C. Jones, “Wavelength dependence of bending loss in monomode optical fibers: effect of the fiber buffer coating,” Opt. Lett. 15, 947–949 (1990).
[Crossref] [PubMed]

Herzig, H. P.

Hopkinson, M.

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Houdre, R.

Hugonin, J.-P.

Jones, J. D. C.

R. Morgan, J. D. C. Jones, J. S. Barton, and P. G. Harper, “Determination of monomode fiber buffer properties,” IEEE J. Lightwave Technol. 12, 1355 (1994).
[Crossref]

F. M. Haran, J. S. Barton, S. R. Kidd, and J. D. C. Jones, “Optical-fiber interferometric sensors using buffer guided light,” Meas. Sci. Technol. 5, 526–530 (1994).
[Crossref]

F. M. Haran, J. S. Barton, and J. D. C. Jones, “Bend loss in buffered over-moded optical-fiber - LP11 mode and whispering-gallery mode interaction,” Electron. Lett. 30, 1433–1434 (1994).
[Crossref]

F. M. Haran, J. S. Barton, and J. D. C. Jones, “Determination of monomode fiber buffer properties from bend-loss measurements,” Opt. Lett. 18, 1618–1620 (1993).
[Crossref] [PubMed]

R. Morgan, J. S. Barton, P. G. Harper, and J. D. C. Jones, “Wavelength dependence of bending loss in monomode optical fibers: effect of the fiber buffer coating,” Opt. Lett. 15, 947–949 (1990).
[Crossref] [PubMed]

Kamp, M.

T. D. Happ, M. Kamp, A. Forchel, J.-L. Gentner, and L. Goldstein, “Two-dimensional photonic crystal coupled-defect laser diode,” Appl. Phys. Lett. 82, 4–6 (2003).
[Crossref]

Kidd, S. R.

F. M. Haran, J. S. Barton, S. R. Kidd, and J. D. C. Jones, “Optical-fiber interferometric sensors using buffer guided light,” Meas. Sci. Technol. 5, 526–530 (1994).
[Crossref]

Krauss, T.

Krauss, T. F.

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Lalanne, P.

Lemarchand, F.

Magnusson, R.

S. Wang, R. Magnusson, J. Bagby, and M. Moharam, “Guided-mode resonances in planar dielectric-layer diffraction gratings,” J. Opt. Soc. A 7, 1470–1474 (1990).
[Crossref]

Mahlein, H.

H. Mahlein, “Fiber-optic communication in the wavelength-division multiplex mode,” Fiber Integr. Opt. 4, 339–372 (1983).
[Crossref]

Mashev, L.

G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tischenko, E. Popov, and L. Mashev, “Diffraction characteristics of Planar corrugated waveguides,” Opt. Quantum. Electron. 18, 123–128 (1986).
[Crossref]

E. Popov, L. Mashev, and D. Maystre, “Theoretical Study of the Anomalies of Coated Dielectric Gratings,” Opt. Acta 33, 607–619 (1986).
[Crossref]

L. Mashev and E. Popov, “Zero order anomaly of dielectric coated grating,” Opt. Commun. 55, 377–380 (1985).
[Crossref]

Mathiesse, P.

C. M. de Blok and P. Mathiesse, “Core alignment procedure for single-mode-fiber jointing,” Electron. Lett. 20, 109–110 (1984).
[Crossref]

Maystre, D.

G. Tayeb and D. Maystre, “Rigorous theoretical study of finite size two-dimensional photonic crystals doped by microcavities,” J. Opt. Soc. Am. A 14, 3323–3332 (1997).
[Crossref]

D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by a random set of parallel cylinders,” J. Opt. Soc. Am. A 11, 2526–2538 (1994).
[Crossref]

E. Popov, L. Mashev, and D. Maystre, “Theoretical Study of the Anomalies of Coated Dielectric Gratings,” Opt. Acta 33, 607–619 (1986).
[Crossref]

D. Maystre and R. Petit, “Brewster incidence for metallic gratings,” Opt. Commun. 17, 196–200 (1976).
[Crossref]

D. Maystre and R. Petit, Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980), Chap. 3.

Moharam, M.

S. Wang, R. Magnusson, J. Bagby, and M. Moharam, “Guided-mode resonances in planar dielectric-layer diffraction gratings,” J. Opt. Soc. A 7, 1470–1474 (1990).
[Crossref]

Morgan, R.

R. Morgan, J. D. C. Jones, J. S. Barton, and P. G. Harper, “Determination of monomode fiber buffer properties,” IEEE J. Lightwave Technol. 12, 1355 (1994).
[Crossref]

R. Morgan, J. S. Barton, P. G. Harper, and J. D. C. Jones, “Wavelength dependence of bending loss in monomode optical fibers: effect of the fiber buffer coating,” Opt. Lett. 15, 947–949 (1990).
[Crossref] [PubMed]

Nevière, M.

Niederer, G.

Oesterle, U.

Oliver, S.

Petit, R.

D. Maystre and R. Petit, “Brewster incidence for metallic gratings,” Opt. Commun. 17, 196–200 (1976).
[Crossref]

D. Maystre and R. Petit, Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980), Chap. 3.

Phillips, L.

Y. Powell-Friend, L. Phillips, T. George, and A. Sharma, “A simple technique for investigating whispering gallery modes in optical fibers,” Rev. Sci; Instrum. 69, 2868–2870 (1998).
[Crossref] [PubMed]

Popov, E.

E. Popov, S. Enoch, G. Tayeb, M. Nevière, B. Gralak, and N. Bonod, “Enhanced transmission due to non-plasmon resonances in one and two dimensional gratings,” Appl. Opt. 43, 999–1008 (2004).
[Crossref] [PubMed]

E. Popov and B. Bozhkov, “Corrugated waveguides as resonance optical filters — advantages and limitations,” J. Opt. Soc. Am. A 18, 1758–1764 (2001).
[Crossref]

E. Popov, L. Mashev, and D. Maystre, “Theoretical Study of the Anomalies of Coated Dielectric Gratings,” Opt. Acta 33, 607–619 (1986).
[Crossref]

G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tischenko, E. Popov, and L. Mashev, “Diffraction characteristics of Planar corrugated waveguides,” Opt. Quantum. Electron. 18, 123–128 (1986).
[Crossref]

L. Mashev and E. Popov, “Zero order anomaly of dielectric coated grating,” Opt. Commun. 55, 377–380 (1985).
[Crossref]

Powell-Friend, Y.

Y. Powell-Friend, L. Phillips, T. George, and A. Sharma, “A simple technique for investigating whispering gallery modes in optical fibers,” Rev. Sci; Instrum. 69, 2868–2870 (1998).
[Crossref] [PubMed]

Rattier, M.

Rayleigh, Lord

Lord Rayleigh, “Whispering gallery modes,” Phil. Mag.20, 1001–1004 (1910); idem “The problem of the Whispering Gallery,” Scientific Papers5, 617–620, Cambridge University, Cambridge (1912).

Schnieper, M.

Sentenac, A.

Shamir, J.

Sharma, A.

Y. Powell-Friend, L. Phillips, T. George, and A. Sharma, “A simple technique for investigating whispering gallery modes in optical fibers,” Rev. Sci; Instrum. 69, 2868–2870 (1998).
[Crossref] [PubMed]

Skolnick, M. S.

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Smith, C.

Svakhin, A. S.

G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tischenko, E. Popov, and L. Mashev, “Diffraction characteristics of Planar corrugated waveguides,” Opt. Quantum. Electron. 18, 123–128 (1986).
[Crossref]

Sychugov, V. A.

G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tischenko, E. Popov, and L. Mashev, “Diffraction characteristics of Planar corrugated waveguides,” Opt. Quantum. Electron. 18, 123–128 (1986).
[Crossref]

Tahraoui, A.

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Tayeb, G.

Thiele, H.

Tischenko, A. V.

G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tischenko, E. Popov, and L. Mashev, “Diffraction characteristics of Planar corrugated waveguides,” Opt. Quantum. Electron. 18, 123–128 (1986).
[Crossref]

Wang, S.

S. Wang, R. Magnusson, J. Bagby, and M. Moharam, “Guided-mode resonances in planar dielectric-layer diffraction gratings,” J. Opt. Soc. A 7, 1470–1474 (1990).
[Crossref]

Weisbuch, C.

Whittaker, D. M.

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Wood, R. W.

R. W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Phylos. Mag. 4, 396–402 (1902).

Zschokke, C.

Appl. Opt. (2)

Appl. Phys. Lett. (1)

T. D. Happ, M. Kamp, A. Forchel, J.-L. Gentner, and L. Goldstein, “Two-dimensional photonic crystal coupled-defect laser diode,” Appl. Phys. Lett. 82, 4–6 (2003).
[Crossref]

Electron. Lett. (2)

F. M. Haran, J. S. Barton, and J. D. C. Jones, “Bend loss in buffered over-moded optical-fiber - LP11 mode and whispering-gallery mode interaction,” Electron. Lett. 30, 1433–1434 (1994).
[Crossref]

C. M. de Blok and P. Mathiesse, “Core alignment procedure for single-mode-fiber jointing,” Electron. Lett. 20, 109–110 (1984).
[Crossref]

Fiber Integr. Opt. (1)

H. Mahlein, “Fiber-optic communication in the wavelength-division multiplex mode,” Fiber Integr. Opt. 4, 339–372 (1983).
[Crossref]

IEEE J. Lightwave Technol. (1)

R. Morgan, J. D. C. Jones, J. S. Barton, and P. G. Harper, “Determination of monomode fiber buffer properties,” IEEE J. Lightwave Technol. 12, 1355 (1994).
[Crossref]

J. Lightwave Technol. (1)

J. Opt. Soc. A (1)

S. Wang, R. Magnusson, J. Bagby, and M. Moharam, “Guided-mode resonances in planar dielectric-layer diffraction gratings,” J. Opt. Soc. A 7, 1470–1474 (1990).
[Crossref]

J. Opt. Soc. Am. A (4)

Meas. Sci. Technol. (1)

F. M. Haran, J. S. Barton, S. R. Kidd, and J. D. C. Jones, “Optical-fiber interferometric sensors using buffer guided light,” Meas. Sci. Technol. 5, 526–530 (1994).
[Crossref]

Opt. Acta (1)

E. Popov, L. Mashev, and D. Maystre, “Theoretical Study of the Anomalies of Coated Dielectric Gratings,” Opt. Acta 33, 607–619 (1986).
[Crossref]

Opt. Commun. (2)

D. Maystre and R. Petit, “Brewster incidence for metallic gratings,” Opt. Commun. 17, 196–200 (1976).
[Crossref]

L. Mashev and E. Popov, “Zero order anomaly of dielectric coated grating,” Opt. Commun. 55, 377–380 (1985).
[Crossref]

Opt. Express (1)

Opt. Lett. (4)

Opt. Quantum. Electron. (1)

G. A. Golubenko, A. S. Svakhin, V. A. Sychugov, A. V. Tischenko, E. Popov, and L. Mashev, “Diffraction characteristics of Planar corrugated waveguides,” Opt. Quantum. Electron. 18, 123–128 (1986).
[Crossref]

Phylos. Mag. (1)

R. W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Phylos. Mag. 4, 396–402 (1902).

Phys. Rev. B (1)

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Groucher, and G. A. Gehring, “Defect states and commensurability in dual-period AlxGa1-xAs photonic crystal waveguides,” Phys. Rev. B 68, 033303 (2003).
[Crossref]

Rev. Sci; Instrum. (1)

Y. Powell-Friend, L. Phillips, T. George, and A. Sharma, “A simple technique for investigating whispering gallery modes in optical fibers,” Rev. Sci; Instrum. 69, 2868–2870 (1998).
[Crossref] [PubMed]

Other (2)

D. Maystre and R. Petit, Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980), Chap. 3.

Lord Rayleigh, “Whispering gallery modes,” Phil. Mag.20, 1001–1004 (1910); idem “The problem of the Whispering Gallery,” Scientific Papers5, 617–620, Cambridge University, Cambridge (1912).

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Figures (8)

Fig. 1.
Fig. 1.

Rod grating under study.

Fig. 2.
Fig. 2.

Reflectivity of the rod grating of Fig. 1 versus the rod diameter (in µm). Period d=1.45 µm, wavelength λ=1.55 µm, TE polarization, normal incidence, rod refractive index equals to 3.45.

Fig. 3.
Fig. 3.

Spectral dependence of the reflectivity of the rod grating presented in Fig. 1. Period d=1.45 µm. The rod diameters Φ correspond to the anomalies indicated with arrows in Fig. 2.

Fig. 4.
Fig. 4.

Angular dependence of the reflectivity of the rod grating with period 1.45 µm, rod diameter 0.8947 µm.

Fig. 5.
Fig. 5.

Spectral dependence of the reflectivity of the finite rod grating illuminated by a Gaussian beam (solid curve), infinite grating illuminated by a plane wave under normal incidence (dashed curve) and under an incidence of 2° (dotted curve) (period 1.45 µm, rod diameter 0.8947µm).

Fig. 6.
Fig. 6.

Modulus of the electric field for the finite rod grating (period 1.45 µm, rod diameter 0.8947 µm) illuminated by a Gaussian beam with 20 µm diameter at waist.

Fig. 7.
Fig. 7.

Modulus of the electric field at the resonance wavelength for a single fiber, with diameter (a) 1.0686 µm, (b) 0.8947 µm, (c) 0.7069 µm, (d) 0.5162 µm, (e) 0.3306 µm. The modulus of the incident plane wave is normalized to 1.

Fig. 8.
Fig. 8.

Spectral dependence of the reflectivity of the rod grating presented in Fig. 1. Period d=1.49 µm (solid curve) and d=1.45 µm (dashed curve), rod diameter Φ=0.8947 µm, illuminated by a plane wave in normal incidence.

Tables (1)

Tables Icon

Table.1. Poles of the structure composed of two fibers with diameter 0.8947 µm, separated with a distance of 1.45 µm.

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