Abstract

A novel design of optical filters, based on the vertical coupling between channel waveguides and photonic crystal microcavities, is proposed. The choice of channel waveguides can be arbitrary because of the flexibility of the device geometry, which makes it possible to utilize conventional low-loss waveguides. The separation between waveguides and microcavities, which determines filter bandwidths and drop efficiencies, can be accurately controlled by material growth (or deposition). The filters might also be switchable, e.g., by mechanical movements of microcavities. An example of a reflection-type optical filter is demonstrated in numerical experiments using the finite-difference time-domain method.

© 2005 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  3. M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
    [CrossRef]
  4. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, Phys. Rev. Lett. 80, 960 (1998).
    [CrossRef]
  5. M. Qiu and B. Jaskorzynska, Appl. Phys. Lett. 83, 1074 (2003).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  9. R. Grover, P. P. Absil, V. Van, J. V. Hryniewicz, B. E. Little, O. King, L. C. Calhoun, F. G. Johnson, and P. T. Ho, Opt. Lett. 26, 506 (2001).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  16. J. P. Berenger, J. Comput. Phys. 127, 363 (1996).
    [CrossRef]

2004 (2)

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, and L. Thylen, Proc. SPIE 5279, 286 (2004).
[CrossRef]

Z. Y. Zhang and M. Qiu, Opt. Express 12, 3988 (2004), http://www.opticsexpress.org.
[CrossRef] [PubMed]

2003 (4)

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature (London) 425, 944 (2003).
[CrossRef]

K. Srinivasan, P. E. Barclay, O. Painter, J. Chen, A. Y. Cho, and C. Gmachl, Appl. Phys. Lett. 83, 1915 (2003).
[CrossRef]

M. Qiu and B. Jaskorzynska, Appl. Phys. Lett. 83, 1074 (2003).
[CrossRef]

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

2002 (1)

K. Djordjev, S. J. Choi, S. J. Choi, and P. D. Dapkus, IEEE Photonics Technol. Lett. 14, 828 (2002).
[CrossRef]

2001 (1)

2000 (2)

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, Phys. Rev. E 62, 7389 (2000).
[CrossRef]

S. Noda, A. Chutinan, and M. Imada, Nature (London) 407, 608 (2000).
[CrossRef]

1999 (1)

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, IEEE Photonics Technol. Lett. 11, 215 (1999).
[CrossRef]

1998 (1)

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, Phys. Rev. Lett. 80, 960 (1998).
[CrossRef]

1996 (1)

J. P. Berenger, J. Comput. Phys. 127, 363 (1996).
[CrossRef]

1987 (2)

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

1966 (1)

K. S. Yee, IEEE Trans. Antennas Propag.AP- 14, 302 (1966).
[CrossRef]

Absil, P. P.

Akahane, Y.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature (London) 425, 944 (2003).
[CrossRef]

Anand, S.

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, and L. Thylen, Proc. SPIE 5279, 286 (2004).
[CrossRef]

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

Asano, T.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature (London) 425, 944 (2003).
[CrossRef]

Barclay, P. E.

K. Srinivasan, P. E. Barclay, O. Painter, J. Chen, A. Y. Cho, and C. Gmachl, Appl. Phys. Lett. 83, 1915 (2003).
[CrossRef]

Berenger, J. P.

J. P. Berenger, J. Comput. Phys. 127, 363 (1996).
[CrossRef]

Calhoun, L. C.

Chen, J.

K. Srinivasan, P. E. Barclay, O. Painter, J. Chen, A. Y. Cho, and C. Gmachl, Appl. Phys. Lett. 83, 1915 (2003).
[CrossRef]

Cho, A. Y.

K. Srinivasan, P. E. Barclay, O. Painter, J. Chen, A. Y. Cho, and C. Gmachl, Appl. Phys. Lett. 83, 1915 (2003).
[CrossRef]

Choi, S. J.

K. Djordjev, S. J. Choi, S. J. Choi, and P. D. Dapkus, IEEE Photonics Technol. Lett. 14, 828 (2002).
[CrossRef]

K. Djordjev, S. J. Choi, S. J. Choi, and P. D. Dapkus, IEEE Photonics Technol. Lett. 14, 828 (2002).
[CrossRef]

Chu, S. T.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, IEEE Photonics Technol. Lett. 11, 215 (1999).
[CrossRef]

Chutinan, A.

S. Noda, A. Chutinan, and M. Imada, Nature (London) 407, 608 (2000).
[CrossRef]

Dapkus, P. D.

K. Djordjev, S. J. Choi, S. J. Choi, and P. D. Dapkus, IEEE Photonics Technol. Lett. 14, 828 (2002).
[CrossRef]

Djordjev, K.

K. Djordjev, S. J. Choi, S. J. Choi, and P. D. Dapkus, IEEE Photonics Technol. Lett. 14, 828 (2002).
[CrossRef]

Fan, S.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, Phys. Rev. Lett. 80, 960 (1998).
[CrossRef]

Forchel, A.

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

Gmachl, C.

K. Srinivasan, P. E. Barclay, O. Painter, J. Chen, A. Y. Cho, and C. Gmachl, Appl. Phys. Lett. 83, 1915 (2003).
[CrossRef]

Grover, R.

Haus, H. A.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, Phys. Rev. Lett. 80, 960 (1998).
[CrossRef]

Ho, P. T.

Hryniewicz, J. V.

Imada, M.

S. Noda, A. Chutinan, and M. Imada, Nature (London) 407, 608 (2000).
[CrossRef]

Ippen, E.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, IEEE Photonics Technol. Lett. 11, 215 (1999).
[CrossRef]

Jaskorzynska, B.

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, and L. Thylen, Proc. SPIE 5279, 286 (2004).
[CrossRef]

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

M. Qiu and B. Jaskorzynska, Appl. Phys. Lett. 83, 1074 (2003).
[CrossRef]

Joannopoulos, J. D.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, Phys. Rev. Lett. 80, 960 (1998).
[CrossRef]

John, S.

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

Johnson, F. G.

Kamp, M.

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

Kaneko, T.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, IEEE Photonics Technol. Lett. 11, 215 (1999).
[CrossRef]

Karlsson, A.

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, and L. Thylen, Proc. SPIE 5279, 286 (2004).
[CrossRef]

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

King, O.

Kokubun, Y.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, IEEE Photonics Technol. Lett. 11, 215 (1999).
[CrossRef]

Lee, R. K.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, Phys. Rev. E 62, 7389 (2000).
[CrossRef]

Li, Y.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, Phys. Rev. E 62, 7389 (2000).
[CrossRef]

Little, B. E.

R. Grover, P. P. Absil, V. Van, J. V. Hryniewicz, B. E. Little, O. King, L. C. Calhoun, F. G. Johnson, and P. T. Ho, Opt. Lett. 26, 506 (2001).
[CrossRef]

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, IEEE Photonics Technol. Lett. 11, 215 (1999).
[CrossRef]

Mulot, M.

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, and L. Thylen, Proc. SPIE 5279, 286 (2004).
[CrossRef]

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

Noda, S.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature (London) 425, 944 (2003).
[CrossRef]

S. Noda, A. Chutinan, and M. Imada, Nature (London) 407, 608 (2000).
[CrossRef]

Painter, O.

K. Srinivasan, P. E. Barclay, O. Painter, J. Chen, A. Y. Cho, and C. Gmachl, Appl. Phys. Lett. 83, 1915 (2003).
[CrossRef]

Pan, W.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, IEEE Photonics Technol. Lett. 11, 215 (1999).
[CrossRef]

Qiu, M.

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, and L. Thylen, Proc. SPIE 5279, 286 (2004).
[CrossRef]

Z. Y. Zhang and M. Qiu, Opt. Express 12, 3988 (2004), http://www.opticsexpress.org.
[CrossRef] [PubMed]

M. Qiu and B. Jaskorzynska, Appl. Phys. Lett. 83, 1074 (2003).
[CrossRef]

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

Ripin, D.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, IEEE Photonics Technol. Lett. 11, 215 (1999).
[CrossRef]

Song, B. S.

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature (London) 425, 944 (2003).
[CrossRef]

Srinivasan, K.

K. Srinivasan, P. E. Barclay, O. Painter, J. Chen, A. Y. Cho, and C. Gmachl, Appl. Phys. Lett. 83, 1915 (2003).
[CrossRef]

Swillo, M.

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, and L. Thylen, Proc. SPIE 5279, 286 (2004).
[CrossRef]

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

Thylen, L.

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, and L. Thylen, Proc. SPIE 5279, 286 (2004).
[CrossRef]

Van, V.

Villeneuve, P. R.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, Phys. Rev. Lett. 80, 960 (1998).
[CrossRef]

Xu, Y.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, Phys. Rev. E 62, 7389 (2000).
[CrossRef]

Yablonovitch, E.

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Yariv, A.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, Phys. Rev. E 62, 7389 (2000).
[CrossRef]

Yee, K. S.

K. S. Yee, IEEE Trans. Antennas Propag.AP- 14, 302 (1966).
[CrossRef]

Zhang, Z. Y.

Appl. Phys. Lett. (3)

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, M. Kamp, and A. Forchel, Appl. Phys. Lett. 83, 5121 (2003).
[CrossRef]

M. Qiu and B. Jaskorzynska, Appl. Phys. Lett. 83, 1074 (2003).
[CrossRef]

K. Srinivasan, P. E. Barclay, O. Painter, J. Chen, A. Y. Cho, and C. Gmachl, Appl. Phys. Lett. 83, 1915 (2003).
[CrossRef]

IEEE Photonics Technol. Lett. (2)

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Kokubun, and E. Ippen, IEEE Photonics Technol. Lett. 11, 215 (1999).
[CrossRef]

K. Djordjev, S. J. Choi, S. J. Choi, and P. D. Dapkus, IEEE Photonics Technol. Lett. 14, 828 (2002).
[CrossRef]

IEEE Trans. Antennas Propag. (1)

K. S. Yee, IEEE Trans. Antennas Propag.AP- 14, 302 (1966).
[CrossRef]

J. Comput. Phys. (1)

J. P. Berenger, J. Comput. Phys. 127, 363 (1996).
[CrossRef]

Nature (London) (2)

Y. Akahane, T. Asano, B. S. Song, and S. Noda, Nature (London) 425, 944 (2003).
[CrossRef]

S. Noda, A. Chutinan, and M. Imada, Nature (London) 407, 608 (2000).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. E (1)

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, Phys. Rev. E 62, 7389 (2000).
[CrossRef]

Phys. Rev. Lett. (3)

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, Phys. Rev. Lett. 80, 960 (1998).
[CrossRef]

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

Proc. SPIE (1)

M. Qiu, M. Mulot, M. Swillo, S. Anand, B. Jaskorzynska, A. Karlsson, and L. Thylen, Proc. SPIE 5279, 286 (2004).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Schematic diagram of a vertically coupled reflection-type PhC optical filter.

Fig. 2
Fig. 2

Intensity spectra of the vertically coupled reflection-type optical filter. The vertical distance between the channel waveguide and the PhC slab cavity is h = 0.75 a . Diamonds (transmitted signal), circles (reflected signal), and squares (loss) are obtained from 3D FDTD simulations. The solid curves for the transmitted signal and the reflected signal result from Eqs. (2, 3), and the solid curve for the loss is obtained from 1 T R .

Fig. 3
Fig. 3

Schematic diagram of a vertically coupled PhC optical filter: a channel drop filter with parallel channel waveguides below the cavity. Note that λ 0 can be either forward dropping or backward dropping, though only backward dropping is shown.

Equations (3)

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

1 Q t = 1 Q i + 1 Q c + 1 Q l .
R = Γ c 2 ( ω ω 0 ) 2 + ( Γ c + Γ i + Γ l ) 2 ,
T = ( ω ω 0 ) 2 + ( Γ i + Γ l ) 2 ( ω ω 0 ) 2 + ( Γ c + Γ i + Γ l ) 2 .

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