Abstract

A cavity-resonator-integrated guided-mode resonance filter is a kind of narrowband filters, which uses a resonance effect of a waveguide cavity. Two experimental methods for determining the cavity length were investigated in order to estimate the response time of the filter. SiO2-based filters for operation at 1540-nm wavelength were fabricated and their cavity lengths were determined from measured resonance wavelengths. In the both of methods, the cavity length determined to be 65 μm and the response time was estimated to be 4 psec.

© 2015 Optical Society of America

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References

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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
  4. S. M. Norton, T. Erdogan, and G. M. Morris, “Coupled-mode theory of resonant-grating filters,” J. Opt. Soc. Am. A 14(3), 629–639 (1997).
    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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  12. K. Kintaka, T. Majima, J. Inoue, K. Hatanaka, J. Nishii, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter for aperture miniaturization,” Opt. Express 20(2), 1444–1449 (2012).
    [PubMed]
  13. J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
    [Crossref]
  14. X. Buet, E. Daran, D. Belharet, F. Lozes-Dupuy, A. Monmayrant, and O. Gauthier-Lafaye, “High angular tolerance and reflectivity with narrow bandwidth cavity-resonator-integrated guided-mode resonance filter,” Opt. Express 20(8), 9322–9327 (2012).
    [Crossref] [PubMed]
  15. K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
    [Crossref]
  16. J. Inoue, T. Ogura, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter in channel waveguide,” IEICE Electron. Express 10, 20130444–1-9, (2013).
    [Crossref]
  17. F. Koyama, Y. Suematsu, S. Arai, and T. Tawee, “1.5-1.6 μm GaInAsP/InP Dynamic-Single-Mode (DSM) Lasers with Distributed Bragg Reflector,” IEEE J. Quantum Electron. 19(6), 1042–1051 (1983).
    [Crossref]

2012 (4)

J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
[Crossref]

K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
[Crossref]

K. Kintaka, T. Majima, J. Inoue, K. Hatanaka, J. Nishii, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter for aperture miniaturization,” Opt. Express 20(2), 1444–1449 (2012).
[PubMed]

X. Buet, E. Daran, D. Belharet, F. Lozes-Dupuy, A. Monmayrant, and O. Gauthier-Lafaye, “High angular tolerance and reflectivity with narrow bandwidth cavity-resonator-integrated guided-mode resonance filter,” Opt. Express 20(8), 9322–9327 (2012).
[Crossref] [PubMed]

2003 (1)

A. Mizutani, H. Kikuta, and K. Iwata, “Wave localization of doubly periodic guided-mode resonant grating filters,” Opt. Rev. 10(1), 13–18 (2003).
[Crossref]

2000 (2)

1998 (1)

1997 (2)

D. Rosenblatt, A. Sharon, and A. A. Friesem, “Resonant grating waveguide structures,” IEEE J. Quantum Electron. 33(11), 2038–2059 (1997).
[Crossref]

S. M. Norton, T. Erdogan, and G. M. Morris, “Coupled-mode theory of resonant-grating filters,” J. Opt. Soc. Am. A 14(3), 629–639 (1997).
[Crossref]

1995 (1)

J. Saarinen, E. Noponen, and J. Turunen, “Guided-mode resonance filters of finite aperture,” Opt. Eng. 34(9), 2560–2566 (1995).
[Crossref]

1993 (1)

1992 (1)

R. Magnusson and S. S. Wang, “New principle for optical filters,” Appl. Phys. Lett. 61(9), 1022–1024 (1992).
[Crossref]

1985 (1)

L. Mashev and E. Popov, “Zero order anomaly of dielectric coated gratings,” Opt. Commun. 55(6), 377–380 (1985).
[Crossref]

1983 (1)

F. Koyama, Y. Suematsu, S. Arai, and T. Tawee, “1.5-1.6 μm GaInAsP/InP Dynamic-Single-Mode (DSM) Lasers with Distributed Bragg Reflector,” IEEE J. Quantum Electron. 19(6), 1042–1051 (1983).
[Crossref]

Arai, S.

F. Koyama, Y. Suematsu, S. Arai, and T. Tawee, “1.5-1.6 μm GaInAsP/InP Dynamic-Single-Mode (DSM) Lasers with Distributed Bragg Reflector,” IEEE J. Quantum Electron. 19(6), 1042–1051 (1983).
[Crossref]

Awatsuji, Y.

K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
[Crossref]

J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
[Crossref]

S. Ura, J. Inoue, K. Kintaka, and Y. Awatsuji, “Proposal of Small-Aperture Guided-Mode Resonance Filter,” in Proceedings of the 13th International Conference on Transparent Optical Networks (Stockholm, Sweden, 2011), Th.A4.4.

Belharet, D.

Boye, R. R.

Buet, X.

Daran, E.

Erdogan, T.

Friesem, A. A.

D. Rosenblatt, A. Sharon, and A. A. Friesem, “Resonant grating waveguide structures,” IEEE J. Quantum Electron. 33(11), 2038–2059 (1997).
[Crossref]

Gauthier-Lafaye, O.

Hatanaka, K.

K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
[Crossref]

J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
[Crossref]

K. Kintaka, T. Majima, J. Inoue, K. Hatanaka, J. Nishii, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter for aperture miniaturization,” Opt. Express 20(2), 1444–1449 (2012).
[PubMed]

Hegedus, Z.

Inoue, J.

J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
[Crossref]

K. Kintaka, T. Majima, J. Inoue, K. Hatanaka, J. Nishii, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter for aperture miniaturization,” Opt. Express 20(2), 1444–1449 (2012).
[PubMed]

K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
[Crossref]

S. Ura, J. Inoue, K. Kintaka, and Y. Awatsuji, “Proposal of Small-Aperture Guided-Mode Resonance Filter,” in Proceedings of the 13th International Conference on Transparent Optical Networks (Stockholm, Sweden, 2011), Th.A4.4.

Iwata, K.

A. Mizutani, H. Kikuta, and K. Iwata, “Wave localization of doubly periodic guided-mode resonant grating filters,” Opt. Rev. 10(1), 13–18 (2003).
[Crossref]

Kikuta, H.

A. Mizutani, H. Kikuta, and K. Iwata, “Wave localization of doubly periodic guided-mode resonant grating filters,” Opt. Rev. 10(1), 13–18 (2003).
[Crossref]

Kintaka, K.

K. Kintaka, T. Majima, J. Inoue, K. Hatanaka, J. Nishii, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter for aperture miniaturization,” Opt. Express 20(2), 1444–1449 (2012).
[PubMed]

K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
[Crossref]

J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
[Crossref]

S. Ura, J. Inoue, K. Kintaka, and Y. Awatsuji, “Proposal of Small-Aperture Guided-Mode Resonance Filter,” in Proceedings of the 13th International Conference on Transparent Optical Networks (Stockholm, Sweden, 2011), Th.A4.4.

Kostuk, R. K.

Koyama, F.

F. Koyama, Y. Suematsu, S. Arai, and T. Tawee, “1.5-1.6 μm GaInAsP/InP Dynamic-Single-Mode (DSM) Lasers with Distributed Bragg Reflector,” IEEE J. Quantum Electron. 19(6), 1042–1051 (1983).
[Crossref]

Liu, Z. S.

Lozes-Dupuy, F.

Magnusson, R.

Majima, T.

K. Kintaka, T. Majima, J. Inoue, K. Hatanaka, J. Nishii, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter for aperture miniaturization,” Opt. Express 20(2), 1444–1449 (2012).
[PubMed]

K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
[Crossref]

J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
[Crossref]

Mashev, L.

L. Mashev and E. Popov, “Zero order anomaly of dielectric coated gratings,” Opt. Commun. 55(6), 377–380 (1985).
[Crossref]

Mizutani, A.

A. Mizutani, H. Kikuta, and K. Iwata, “Wave localization of doubly periodic guided-mode resonant grating filters,” Opt. Rev. 10(1), 13–18 (2003).
[Crossref]

Monmayrant, A.

Morris, G. M.

Netterfield, R.

Nishii, J.

Nishio, K.

K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
[Crossref]

J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
[Crossref]

Noponen, E.

J. Saarinen, E. Noponen, and J. Turunen, “Guided-mode resonance filters of finite aperture,” Opt. Eng. 34(9), 2560–2566 (1995).
[Crossref]

Norton, S. M.

Popov, E.

L. Mashev and E. Popov, “Zero order anomaly of dielectric coated gratings,” Opt. Commun. 55(6), 377–380 (1985).
[Crossref]

Rosenblatt, D.

D. Rosenblatt, A. Sharon, and A. A. Friesem, “Resonant grating waveguide structures,” IEEE J. Quantum Electron. 33(11), 2038–2059 (1997).
[Crossref]

Saarinen, J.

J. Saarinen, E. Noponen, and J. Turunen, “Guided-mode resonance filters of finite aperture,” Opt. Eng. 34(9), 2560–2566 (1995).
[Crossref]

Sharon, A.

D. Rosenblatt, A. Sharon, and A. A. Friesem, “Resonant grating waveguide structures,” IEEE J. Quantum Electron. 33(11), 2038–2059 (1997).
[Crossref]

Shin, D.

Suematsu, Y.

F. Koyama, Y. Suematsu, S. Arai, and T. Tawee, “1.5-1.6 μm GaInAsP/InP Dynamic-Single-Mode (DSM) Lasers with Distributed Bragg Reflector,” IEEE J. Quantum Electron. 19(6), 1042–1051 (1983).
[Crossref]

Tawee, T.

F. Koyama, Y. Suematsu, S. Arai, and T. Tawee, “1.5-1.6 μm GaInAsP/InP Dynamic-Single-Mode (DSM) Lasers with Distributed Bragg Reflector,” IEEE J. Quantum Electron. 19(6), 1042–1051 (1983).
[Crossref]

Tibuleac, S.

Turunen, J.

J. Saarinen, E. Noponen, and J. Turunen, “Guided-mode resonance filters of finite aperture,” Opt. Eng. 34(9), 2560–2566 (1995).
[Crossref]

Ura, S.

K. Kintaka, T. Majima, J. Inoue, K. Hatanaka, J. Nishii, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter for aperture miniaturization,” Opt. Express 20(2), 1444–1449 (2012).
[PubMed]

K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
[Crossref]

J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
[Crossref]

S. Ura, J. Inoue, K. Kintaka, and Y. Awatsuji, “Proposal of Small-Aperture Guided-Mode Resonance Filter,” in Proceedings of the 13th International Conference on Transparent Optical Networks (Stockholm, Sweden, 2011), Th.A4.4.

Wang, S. S.

S. S. Wang and R. Magnusson, “Theory and applications of guided-mode resonance filters,” Appl. Opt. 32(14), 2606–2613 (1993).
[Crossref] [PubMed]

R. Magnusson and S. S. Wang, “New principle for optical filters,” Appl. Phys. Lett. 61(9), 1022–1024 (1992).
[Crossref]

Young, P. P.

Appl. Opt. (3)

Appl. Phys. Express (1)

J. Inoue, T. Majima, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Aperture miniaturization of guided-mode resonance filter by cavity resonator integration,” Appl. Phys. Express 5(2), 022201 (2012).
[Crossref]

Appl. Phys. Lett. (1)

R. Magnusson and S. S. Wang, “New principle for optical filters,” Appl. Phys. Lett. 61(9), 1022–1024 (1992).
[Crossref]

Electron. Lett. (1)

K. Hatanaka, T. Majima, K. Kintaka, J. Inoue, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter consisting of curved gratings,” Electron. Lett. 48(12), 717–718 (2012).
[Crossref]

IEEE J. Quantum Electron. (2)

D. Rosenblatt, A. Sharon, and A. A. Friesem, “Resonant grating waveguide structures,” IEEE J. Quantum Electron. 33(11), 2038–2059 (1997).
[Crossref]

F. Koyama, Y. Suematsu, S. Arai, and T. Tawee, “1.5-1.6 μm GaInAsP/InP Dynamic-Single-Mode (DSM) Lasers with Distributed Bragg Reflector,” IEEE J. Quantum Electron. 19(6), 1042–1051 (1983).
[Crossref]

J. Opt. Soc. Am. A (1)

Opt. Commun. (1)

L. Mashev and E. Popov, “Zero order anomaly of dielectric coated gratings,” Opt. Commun. 55(6), 377–380 (1985).
[Crossref]

Opt. Eng. (1)

J. Saarinen, E. Noponen, and J. Turunen, “Guided-mode resonance filters of finite aperture,” Opt. Eng. 34(9), 2560–2566 (1995).
[Crossref]

Opt. Express (2)

Opt. Lett. (1)

Opt. Rev. (1)

A. Mizutani, H. Kikuta, and K. Iwata, “Wave localization of doubly periodic guided-mode resonant grating filters,” Opt. Rev. 10(1), 13–18 (2003).
[Crossref]

Other (2)

J. Inoue, T. Ogura, K. Hatanaka, K. Kintaka, K. Nishio, Y. Awatsuji, and S. Ura, “Cavity-resonator-integrated guided-mode resonance filter in channel waveguide,” IEICE Electron. Express 10, 20130444–1-9, (2013).
[Crossref]

S. Ura, J. Inoue, K. Kintaka, and Y. Awatsuji, “Proposal of Small-Aperture Guided-Mode Resonance Filter,” in Proceedings of the 13th International Conference on Transparent Optical Networks (Stockholm, Sweden, 2011), Th.A4.4.

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Figures (9)

Fig. 1
Fig. 1 Basic configuration of CRIGF and light wave propagation.
Fig. 2
Fig. 2 Schematic view of designed CRIGF.
Fig. 3
Fig. 3 Optical microscope photographs of fabricated CRIGFs of phase-adjusting gaps of (a) 3Λ /8-3Λ/15, (b) 3Λ /8-2Λ/15, (c) 3Λ /8-Λ/15, and (d) 3Λ /8.
Fig. 4
Fig. 4 Experimental setup for measuring a reflection spectrum.
Fig. 5
Fig. 5 Resonance wavelength at each phase-adjusting gap.
Fig. 6
Fig. 6 Resonance-mode intensity distributions of CRIGF.
Fig. 7
Fig. 7 Schematic view of designed CRIGF for measurement of longitudinal mode spacing.
Fig. 8
Fig. 8 Optical microscope photograph of fabricated CRIGF of phase-adjusting gaps of 54.3 μm.
Fig. 9
Fig. 9 Measured reflection spectrum of the fabricated CRIGF.

Equations (10)

Equations on this page are rendered with MathJax. Learn more.

ξ= e t 0 /τ ,
t 0 = 2N L cav c ,
ξ= e 2α L GC ,
τ= N cα L cav L GC .
L cav = L dis +2 L eff
L eff = 1 2 tanh( κ L DBR ) κ
N L cav =m λ r 2 (m:1,2,3,) .
d λ r d L cav = λ r L cav .
L cav = nm 2N λ r,m λ r,n λ r,m λ r,n .
L cav = 1 N λ r,m λ r,m+2 λ r,m λ r,m+2

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