Abstract

We study the transmission characteristics of a photonic crystal waveguide with a single stub of a finite length and propose a double-stub waveguide structure for its application to optical filters. The proposed device operates as a Fabry–Perot interferometer and can be used as a broad bandstop filter and a narrow bandpass filter. These filters are inherently compact and their center frequency is given by the resonant frequency of the stub.

© 2007 Optical Society of America

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References

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  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).
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    [CrossRef] [PubMed]
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    [CrossRef]
  5. T. Fujisawa and M. Koshiba, Appl. Opt. 45, 4114 (2006).
    [CrossRef] [PubMed]
  6. J. C. Chen, H. A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, J. Lightwave Technol. 14, 2575 (1996).
    [CrossRef]
  7. M. Imada, S. Noda, A. Chutinan, M. Mochizuki, and T. Tanaka, J. Lightwave Technol. 20, 873 (2002).
    [CrossRef]
  8. R. Costa, A. Melloni, and M. Martinelli, IEEE Photon. Technol. Lett. 15, 401 (2003).
    [CrossRef]
  9. D. Park, S. Kim, I. Park, and H. Lim, J. Lightwave Technol. 23, 1923 (2005).
    [CrossRef]
  10. N. Marcuvitz, Waveguide Handbook (McGraw-Hill, 1951).
  11. K. M. Ho, C. T. Chan, and C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
    [CrossRef] [PubMed]

2006

2005

2003

R. Costa, A. Melloni, and M. Martinelli, IEEE Photon. Technol. Lett. 15, 401 (2003).
[CrossRef]

2002

M. Imada, S. Noda, A. Chutinan, M. Mochizuki, and T. Tanaka, J. Lightwave Technol. 20, 873 (2002).
[CrossRef]

2000

R. Stoffer, H. J. W. M. Hoekstra, R. M. De Ridder, E. Van Groesen, and F. P. H. Van Beckum, Opt. Quantum Electron. 32, 947 (2000).
[CrossRef]

1996

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[CrossRef] [PubMed]

J. C. Chen, H. A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, J. Lightwave Technol. 14, 2575 (1996).
[CrossRef]

1990

K. M. Ho, C. T. Chan, and C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

Appl. Opt.

IEEE Photon. Technol. Lett.

R. Costa, A. Melloni, and M. Martinelli, IEEE Photon. Technol. Lett. 15, 401 (2003).
[CrossRef]

J. Lightwave Technol.

D. Park, S. Kim, I. Park, and H. Lim, J. Lightwave Technol. 23, 1923 (2005).
[CrossRef]

J. C. Chen, H. A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, J. Lightwave Technol. 14, 2575 (1996).
[CrossRef]

M. Imada, S. Noda, A. Chutinan, M. Mochizuki, and T. Tanaka, J. Lightwave Technol. 20, 873 (2002).
[CrossRef]

Opt. Quantum Electron.

R. Stoffer, H. J. W. M. Hoekstra, R. M. De Ridder, E. Van Groesen, and F. P. H. Van Beckum, Opt. Quantum Electron. 32, 947 (2000).
[CrossRef]

Phys. Rev. Lett.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[CrossRef] [PubMed]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

Other

R. E. Collin, Foundations for Microwave Engineering (McGraw-Hill, 1966).

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

N. Marcuvitz, Waveguide Handbook (McGraw-Hill, 1951).

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Figures (4)

Fig. 1
Fig. 1

(a) Schematic of a double-stub PC waveguide structure. (b) Its simple equivalent circuit.

Fig. 2
Fig. 2

Transmission spectra of the PC waveguide with the single stub consisting of two rods ( N s = 2 ) for different values of the stub-rod radius r s .

Fig. 3
Fig. 3

Dependence of the resonant frequency ω s of the single-stub PC structure on the stub-rod radius r s for three values of the number N s of stub rods.

Fig. 4
Fig. 4

(a) Transmission spectra of the double-stub PC waveguide structure consisting of two identical stubs ( N s = 2 and r s r = 0.45 ) and the spacer waveguide with three rods in length ( N e = 3 ) , where the radius r e of the rods adjacent to the spacer waveguide is changed. (b) Electric field distributions at two frequencies marked A and B for the double-stub structure with r e r = 1.2 .

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