Abstract

We present a photonic-crystal (PC) channel-drop filter (CDF) design based on 3×3 PC ring resonators. The normalized transmission spectra for single-ring and dual-ring configurations have been investigated using two-dimensional finite-difference time-domain (FDTD) technique in a square-lattice dielectric-rod PC structure. First, we investigate a single ring and we show that backward and forward dropping is possible in the third communication window. Then we add another ring and waveguide to develop a new CDF. This filter consists of an input and three outputs. Our FDTD simulation yields more than 85% efficiency over each output port.

© 2009 Optical Society of America

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  1. Limei Qi, Ziqiang Yang, Zheng Liang, Wenxin Liu, Yu Liu, and Xi Gao, “Design of photonic crystal resonant cavity using overmoded dielectric photonic bandgap structures,” PIERS Online 3, 379-381 (2007).
    [CrossRef]
  2. Zexuan Qiang, Weidong Zhou, and R. A. Soref, “Optical add-drop filters based on photonic crystal ring resonators,” Opt. Express 15, 1823-1831 (2007).
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    [CrossRef]
  6. J. Zimmermann, M. Kamp, A. Forchel, and R. März, “Photonic crystal waveguide directional couplers as wavelength selective optical filters,” Opt. Commun. 230, 387-392 (2004).
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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]
  14. B. S. Song, S. Noda, and T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
    [CrossRef] [PubMed]
  15. H. Takano, Y. Akahane, T. Asano, and S. Noda, “In-plane-type channel drop filter in a two-dimensional photonic crystal slab,” Appl. Phys. Lett. 84, 2226-2228 (2004).
    [CrossRef]
  16. B.-S. Song, T. Asano, Y. Akahane, and S. Noda, “Role of interfaces in hetero photonic crystals for manipulation of photons,” Phys. Rev. B 71, 195101 (2005).
    [CrossRef]
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    [CrossRef] [PubMed]
  19. M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian, “Heterostructure photonic crystal channel drop filters using mirror cavities,” J. Opt. A Pure Appl. Opt. 10, 055203 (2008).
    [CrossRef]
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    [CrossRef]
  21. H. Takano, B. Song, T. Asano, and S. Noda, “Highly efficient multi-channel drop filter in a two-dimensional hetero photonic crystal,” Opt. Express 14, 3491-3496 (2006).
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    [CrossRef]
  24. P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837-7842 (1996).
    [CrossRef]
  25. C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
    [CrossRef]
  26. M. Tokushima, H. Yamada, and Y. Arakawa, “1.5 μm-wavelength light guiding in waveguides in square lattice of rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
    [CrossRef]
  27. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop filters in photonic crystals,” Opt. Express 3, 4-11 (1998).
    [CrossRef] [PubMed]
  28. G. Kim, Y. Lee, A. Shinya, and M. Notomi, “Coupling of small, low-loss hexapole mode with photonic crystal slab waveguide mode,” Opt. Express 12, 6624-6631 (2004).
    [CrossRef] [PubMed]

2008

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian, “Heterostructure photonic crystal channel drop filters using mirror cavities,” J. Opt. A Pure Appl. Opt. 10, 055203 (2008).
[CrossRef]

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian “T-shaped channel-drop filters using photonic crystal ring resonators,” Physica E 40, 3151-3154 (2008).
[CrossRef]

2007

2006

2005

2004

H. Takano, Y. Akahane, T. Asano, and S. Noda, “In-plane-type channel drop filter in a two-dimensional photonic crystal slab,” Appl. Phys. Lett. 84, 2226-2228 (2004).
[CrossRef]

M. Tokushima, H. Yamada, and Y. Arakawa, “1.5 μm-wavelength light guiding in waveguides in square lattice of rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
[CrossRef]

V. Dinesh Kumar, T. Srinivas, and A. Selvarajan, “Investigation of ring resonators in photonic crystal circuits,” Photon. Nanostruct. Fundam. Appl. 2, 199-206 (2004).
[CrossRef]

B. K. Min, J. E. Kim, and H. Y. Park, “Channel drop filters using resonant tunneling processes in two-dimensional triangular lattice photonic crystal slabs,” Opt. Commun. 237, 59-63 (2004).
[CrossRef]

G. Kim, Y. Lee, A. Shinya, and M. Notomi, “Coupling of small, low-loss hexapole mode with photonic crystal slab waveguide mode,” Opt. Express 12, 6624-6631 (2004).
[CrossRef] [PubMed]

S. Kim, I. Park, H. Lim, and C.-S. Kee, “Highly efficient photonic crystal-based multichannel drop filters of three-port system with reflection feedback,” Opt. Express 12, 5518-5525(2004).
[CrossRef] [PubMed]

J. Zimmermann, M. Kamp, A. Forchel, and R. März, “Photonic crystal waveguide directional couplers as wavelength selective optical filters,” Opt. Commun. 230, 387-392 (2004).
[CrossRef]

2003

2002

1999

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical investigation of channel drop tunneling processes,” Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

1998

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096 (1998).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960-963 (1998).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop filters in photonic crystals,” Opt. Express 3, 4-11 (1998).
[CrossRef] [PubMed]

1996

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837-7842 (1996).
[CrossRef]

1994

H. Takahashi, S. Suzuki, and I. Nishi, “Wavelength multiplexer based on {SiO2}-{Ta2O5} arrayed-waveguide grating,” IEEE J. Lightwave Technol. 12, 989-995 (1994).
[CrossRef]

1993

R. A. Soref, “Silicon-based optoelectronics,” Proc. IEEE 81, 1687-1706 (1993).
[CrossRef]

Abrishamian, M. S.

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian “T-shaped channel-drop filters using photonic crystal ring resonators,” Physica E 40, 3151-3154 (2008).
[CrossRef]

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian, “Heterostructure photonic crystal channel drop filters using mirror cavities,” J. Opt. A Pure Appl. Opt. 10, 055203 (2008).
[CrossRef]

Akahane, Y.

Y. Akahane, T. Asano, H. Takano, B.-S. Song, Y. Takana, and S. Noda, “Two-dimensional photonic-crystal-slab channel drop filter with flat-top response,” Opt. Express 13, 2512-2530 (2005).
[CrossRef] [PubMed]

B.-S. Song, T. Asano, Y. Akahane, and S. Noda, “Role of interfaces in hetero photonic crystals for manipulation of photons,” Phys. Rev. B 71, 195101 (2005).
[CrossRef]

H. Takano, Y. Akahane, T. Asano, and S. Noda, “In-plane-type channel drop filter in a two-dimensional photonic crystal slab,” Appl. Phys. Lett. 84, 2226-2228 (2004).
[CrossRef]

Arakawa, Y.

M. Tokushima, H. Yamada, and Y. Arakawa, “1.5 μm-wavelength light guiding in waveguides in square lattice of rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
[CrossRef]

Asano, T.

H. Takano, B. Song, T. Asano, and S. Noda, “Highly efficient multi-channel drop filter in a two-dimensional hetero photonic crystal,” Opt. Express 14, 3491-3496 (2006).
[CrossRef] [PubMed]

B.-S. Song, T. Asano, Y. Akahane, and S. Noda, “Role of interfaces in hetero photonic crystals for manipulation of photons,” Phys. Rev. B 71, 195101 (2005).
[CrossRef]

Y. Akahane, T. Asano, H. Takano, B.-S. Song, Y. Takana, and S. Noda, “Two-dimensional photonic-crystal-slab channel drop filter with flat-top response,” Opt. Express 13, 2512-2530 (2005).
[CrossRef] [PubMed]

H. Takano, Y. Akahane, T. Asano, and S. Noda, “In-plane-type channel drop filter in a two-dimensional photonic crystal slab,” Appl. Phys. Lett. 84, 2226-2228 (2004).
[CrossRef]

B. S. Song, S. Noda, and T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
[CrossRef] [PubMed]

Chan, Y.-J.

Chen, C.-C.

Chien, Huang Ta

Chiu, W.-Y.

Dinesh Kumar, V.

V. Dinesh Kumar, T. Srinivas, and A. Selvarajan, “Investigation of ring resonators in photonic crystal circuits,” Photon. Nanostruct. Fundam. Appl. 2, 199-206 (2004).
[CrossRef]

Djavid, M.

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian, “Heterostructure photonic crystal channel drop filters using mirror cavities,” J. Opt. A Pure Appl. Opt. 10, 055203 (2008).
[CrossRef]

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian “T-shaped channel-drop filters using photonic crystal ring resonators,” Physica E 40, 3151-3154 (2008).
[CrossRef]

Fan, S.

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical investigation of channel drop tunneling processes,” Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960-963 (1998).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop filters in photonic crystals,” Opt. Express 3, 4-11 (1998).
[CrossRef] [PubMed]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837-7842 (1996).
[CrossRef]

Forchel, A.

J. Zimmermann, M. Kamp, A. Forchel, and R. März, “Photonic crystal waveguide directional couplers as wavelength selective optical filters,” Opt. Commun. 230, 387-392 (2004).
[CrossRef]

Gao, Xi

Limei Qi, Ziqiang Yang, Zheng Liang, Wenxin Liu, Yu Liu, and Xi Gao, “Design of photonic crystal resonant cavity using overmoded dielectric photonic bandgap structures,” PIERS Online 3, 379-381 (2007).
[CrossRef]

Ghaffari, A.

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian “T-shaped channel-drop filters using photonic crystal ring resonators,” Physica E 40, 3151-3154 (2008).
[CrossRef]

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian, “Heterostructure photonic crystal channel drop filters using mirror cavities,” J. Opt. A Pure Appl. Opt. 10, 055203 (2008).
[CrossRef]

Griol, A.

Haus, H. A.

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical investigation of channel drop tunneling processes,” Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960-963 (1998).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop filters in photonic crystals,” Opt. Express 3, 4-11 (1998).
[CrossRef] [PubMed]

Hou, Chia-Hunag

Huang, T.-W.

Joannopoulos, J. D.

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical investigation of channel drop tunneling processes,” Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop filters in photonic crystals,” Opt. Express 3, 4-11 (1998).
[CrossRef] [PubMed]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960-963 (1998).
[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837-7842 (1996).
[CrossRef]

Kamp, M.

J. Zimmermann, M. Kamp, A. Forchel, and R. März, “Photonic crystal waveguide directional couplers as wavelength selective optical filters,” Opt. Commun. 230, 387-392 (2004).
[CrossRef]

Kawakami, S.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Kawashima, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Kee, C.-S.

Khan, M. J.

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical investigation of channel drop tunneling processes,” Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

Kim, G.

Kim, J. E.

B. K. Min, J. E. Kim, and H. Y. Park, “Channel drop filters using resonant tunneling processes in two-dimensional triangular lattice photonic crystal slabs,” Opt. Commun. 237, 59-63 (2004).
[CrossRef]

Kim, S.

Kosaka, H.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Lee, Y.

Liang, Zheng

Limei Qi, Ziqiang Yang, Zheng Liang, Wenxin Liu, Yu Liu, and Xi Gao, “Design of photonic crystal resonant cavity using overmoded dielectric photonic bandgap structures,” PIERS Online 3, 379-381 (2007).
[CrossRef]

Lim, H.

Liu, Wenxin

Limei Qi, Ziqiang Yang, Zheng Liang, Wenxin Liu, Yu Liu, and Xi Gao, “Design of photonic crystal resonant cavity using overmoded dielectric photonic bandgap structures,” PIERS Online 3, 379-381 (2007).
[CrossRef]

Liu, Yu

Limei Qi, Ziqiang Yang, Zheng Liang, Wenxin Liu, Yu Liu, and Xi Gao, “Design of photonic crystal resonant cavity using overmoded dielectric photonic bandgap structures,” PIERS Online 3, 379-381 (2007).
[CrossRef]

Manolatou, C.

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical investigation of channel drop tunneling processes,” Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

Marti, J.

Martinez, A.

März, R.

J. Zimmermann, M. Kamp, A. Forchel, and R. März, “Photonic crystal waveguide directional couplers as wavelength selective optical filters,” Opt. Commun. 230, 387-392 (2004).
[CrossRef]

Min, B. K.

B. K. Min, J. E. Kim, and H. Y. Park, “Channel drop filters using resonant tunneling processes in two-dimensional triangular lattice photonic crystal slabs,” Opt. Commun. 237, 59-63 (2004).
[CrossRef]

Monifi, F.

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian “T-shaped channel-drop filters using photonic crystal ring resonators,” Physica E 40, 3151-3154 (2008).
[CrossRef]

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian, “Heterostructure photonic crystal channel drop filters using mirror cavities,” J. Opt. A Pure Appl. Opt. 10, 055203 (2008).
[CrossRef]

Nishi, I.

H. Takahashi, S. Suzuki, and I. Nishi, “Wavelength multiplexer based on {SiO2}-{Ta2O5} arrayed-waveguide grating,” IEEE J. Lightwave Technol. 12, 989-995 (1994).
[CrossRef]

Noda, S.

H. Takano, B. Song, T. Asano, and S. Noda, “Highly efficient multi-channel drop filter in a two-dimensional hetero photonic crystal,” Opt. Express 14, 3491-3496 (2006).
[CrossRef] [PubMed]

B.-S. Song, T. Asano, Y. Akahane, and S. Noda, “Role of interfaces in hetero photonic crystals for manipulation of photons,” Phys. Rev. B 71, 195101 (2005).
[CrossRef]

Y. Akahane, T. Asano, H. Takano, B.-S. Song, Y. Takana, and S. Noda, “Two-dimensional photonic-crystal-slab channel drop filter with flat-top response,” Opt. Express 13, 2512-2530 (2005).
[CrossRef] [PubMed]

H. Takano, Y. Akahane, T. Asano, and S. Noda, “In-plane-type channel drop filter in a two-dimensional photonic crystal slab,” Appl. Phys. Lett. 84, 2226-2228 (2004).
[CrossRef]

B. S. Song, S. Noda, and T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
[CrossRef] [PubMed]

Notomi, M.

G. Kim, Y. Lee, A. Shinya, and M. Notomi, “Coupling of small, low-loss hexapole mode with photonic crystal slab waveguide mode,” Opt. Express 12, 6624-6631 (2004).
[CrossRef] [PubMed]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Park, H. Y.

B. K. Min, J. E. Kim, and H. Y. Park, “Channel drop filters using resonant tunneling processes in two-dimensional triangular lattice photonic crystal slabs,” Opt. Commun. 237, 59-63 (2004).
[CrossRef]

Park, I.

Prather, D.

Qi, Limei

Limei Qi, Ziqiang Yang, Zheng Liang, Wenxin Liu, Yu Liu, and Xi Gao, “Design of photonic crystal resonant cavity using overmoded dielectric photonic bandgap structures,” PIERS Online 3, 379-381 (2007).
[CrossRef]

Qiang, Zexuan

Qiu, Min

Sanchis, P.

Sato, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Selvarajan, A.

V. Dinesh Kumar, T. Srinivas, and A. Selvarajan, “Investigation of ring resonators in photonic crystal circuits,” Photon. Nanostruct. Fundam. Appl. 2, 199-206 (2004).
[CrossRef]

Sharkawy, A.

Shi, S.

Shinya, A.

Song, B.

Song, B. S.

B. S. Song, S. Noda, and T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
[CrossRef] [PubMed]

Song, B.-S.

B.-S. Song, T. Asano, Y. Akahane, and S. Noda, “Role of interfaces in hetero photonic crystals for manipulation of photons,” Phys. Rev. B 71, 195101 (2005).
[CrossRef]

Y. Akahane, T. Asano, H. Takano, B.-S. Song, Y. Takana, and S. Noda, “Two-dimensional photonic-crystal-slab channel drop filter with flat-top response,” Opt. Express 13, 2512-2530 (2005).
[CrossRef] [PubMed]

Soref, R.

Soref, R. A.

Srinivas, T.

V. Dinesh Kumar, T. Srinivas, and A. Selvarajan, “Investigation of ring resonators in photonic crystal circuits,” Photon. Nanostruct. Fundam. Appl. 2, 199-206 (2004).
[CrossRef]

Suzuki, S.

H. Takahashi, S. Suzuki, and I. Nishi, “Wavelength multiplexer based on {SiO2}-{Ta2O5} arrayed-waveguide grating,” IEEE J. Lightwave Technol. 12, 989-995 (1994).
[CrossRef]

Takahashi, H.

H. Takahashi, S. Suzuki, and I. Nishi, “Wavelength multiplexer based on {SiO2}-{Ta2O5} arrayed-waveguide grating,” IEEE J. Lightwave Technol. 12, 989-995 (1994).
[CrossRef]

Takana, Y.

Takano, H.

Tamamura, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Tokushima, M.

M. Tokushima, H. Yamada, and Y. Arakawa, “1.5 μm-wavelength light guiding in waveguides in square lattice of rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
[CrossRef]

Tomita, A.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Villeneuve, P. R.

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical investigation of channel drop tunneling processes,” Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960-963 (1998).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop filters in photonic crystals,” Opt. Express 3, 4-11 (1998).
[CrossRef] [PubMed]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837-7842 (1996).
[CrossRef]

Wu, Y.-H.

Yamada, H.

M. Tokushima, H. Yamada, and Y. Arakawa, “1.5 μm-wavelength light guiding in waveguides in square lattice of rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
[CrossRef]

Yang, Ziqiang

Limei Qi, Ziqiang Yang, Zheng Liang, Wenxin Liu, Yu Liu, and Xi Gao, “Design of photonic crystal resonant cavity using overmoded dielectric photonic bandgap structures,” PIERS Online 3, 379-381 (2007).
[CrossRef]

Zhang, Ziyang

Zhou, Weidong

Zimmermann, J.

J. Zimmermann, M. Kamp, A. Forchel, and R. März, “Photonic crystal waveguide directional couplers as wavelength selective optical filters,” Opt. Commun. 230, 387-392 (2004).
[CrossRef]

Appl. Phys. Lett.

H. Takano, Y. Akahane, T. Asano, and S. Noda, “In-plane-type channel drop filter in a two-dimensional photonic crystal slab,” Appl. Phys. Lett. 84, 2226-2228 (2004).
[CrossRef]

M. Tokushima, H. Yamada, and Y. Arakawa, “1.5 μm-wavelength light guiding in waveguides in square lattice of rod photonic crystal slab,” Appl. Phys. Lett. 84, 4298-4300 (2004).
[CrossRef]

IEEE J. Lightwave Technol.

H. Takahashi, S. Suzuki, and I. Nishi, “Wavelength multiplexer based on {SiO2}-{Ta2O5} arrayed-waveguide grating,” IEEE J. Lightwave Technol. 12, 989-995 (1994).
[CrossRef]

IEEE J. Quantum Electron.

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

C. Manolatou, M. J. Khan, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322-1331 (1999).
[CrossRef]

J. Opt. A Pure Appl. Opt.

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian, “Heterostructure photonic crystal channel drop filters using mirror cavities,” J. Opt. A Pure Appl. Opt. 10, 055203 (2008).
[CrossRef]

Opt. Commun.

J. Zimmermann, M. Kamp, A. Forchel, and R. März, “Photonic crystal waveguide directional couplers as wavelength selective optical filters,” Opt. Commun. 230, 387-392 (2004).
[CrossRef]

B. K. Min, J. E. Kim, and H. Y. Park, “Channel drop filters using resonant tunneling processes in two-dimensional triangular lattice photonic crystal slabs,” Opt. Commun. 237, 59-63 (2004).
[CrossRef]

Opt. Express

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop filters in photonic crystals,” Opt. Express 3, 4-11 (1998).
[CrossRef] [PubMed]

A. Sharkawy, S. Shi, D. Prather, and R. Soref, “Electro-optical switching using coupled photonic crystal waveguides,” Opt. Express 10, 1048-1059 (2002).
[PubMed]

S. Kim, I. Park, H. Lim, and C.-S. Kee, “Highly efficient photonic crystal-based multichannel drop filters of three-port system with reflection feedback,” Opt. Express 12, 5518-5525(2004).
[CrossRef] [PubMed]

Y. Akahane, T. Asano, H. Takano, B.-S. Song, Y. Takana, and S. Noda, “Two-dimensional photonic-crystal-slab channel drop filter with flat-top response,” Opt. Express 13, 2512-2530 (2005).
[CrossRef] [PubMed]

Ziyang Zhang and Min Qiu, “Compact in-plane channel drop filter design using a single cavity with two degenerate modes in 2D photonic crystal slabs,” Opt. Express 13, 2596-2604 (2005).
[CrossRef] [PubMed]

G. Kim, Y. Lee, A. Shinya, and M. Notomi, “Coupling of small, low-loss hexapole mode with photonic crystal slab waveguide mode,” Opt. Express 12, 6624-6631 (2004).
[CrossRef] [PubMed]

H. Takano, B. Song, T. Asano, and S. Noda, “Highly efficient multi-channel drop filter in a two-dimensional hetero photonic crystal,” Opt. Express 14, 3491-3496 (2006).
[CrossRef] [PubMed]

Zexuan Qiang, Weidong Zhou, and R. A. Soref, “Optical add-drop filters based on photonic crystal ring resonators,” Opt. Express 15, 1823-1831 (2007).
[CrossRef] [PubMed]

W.-Y. Chiu, T.-W. Huang, Y.-H. Wu, Y.-J. Chan, Chia-Hunag Hou, Huang Ta Chien, and C.-C. Chen, “A photonic crystal ring resonator formed by SOI nano-rods,” Opt. Express 15, 15500-15506 (2007).
[CrossRef] [PubMed]

Opt. Lett.

Photon. Nanostruct. Fundam. Appl.

V. Dinesh Kumar, T. Srinivas, and A. Selvarajan, “Investigation of ring resonators in photonic crystal circuits,” Photon. Nanostruct. Fundam. Appl. 2, 199-206 (2004).
[CrossRef]

Phys. Rev. B

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,” Phys. Rev. B 54, 7837-7842 (1996).
[CrossRef]

B.-S. Song, T. Asano, Y. Akahane, and S. Noda, “Role of interfaces in hetero photonic crystals for manipulation of photons,” Phys. Rev. B 71, 195101 (2005).
[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical investigation of channel drop tunneling processes,” Phys. Rev. B 59, 15882-15892 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Phys. Rev. Lett.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960-963 (1998).
[CrossRef]

Physica E

M. Djavid, A. Ghaffari, F. Monifi, and M. S. Abrishamian “T-shaped channel-drop filters using photonic crystal ring resonators,” Physica E 40, 3151-3154 (2008).
[CrossRef]

PIERS Online

Limei Qi, Ziqiang Yang, Zheng Liang, Wenxin Liu, Yu Liu, and Xi Gao, “Design of photonic crystal resonant cavity using overmoded dielectric photonic bandgap structures,” PIERS Online 3, 379-381 (2007).
[CrossRef]

Proc. IEEE

R. A. Soref, “Silicon-based optoelectronics,” Proc. IEEE 81, 1687-1706 (1993).
[CrossRef]

Science

B. S. Song, S. Noda, and T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
[CrossRef] [PubMed]

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Figures (11)

Fig. 1
Fig. 1

An M × N PCRR: scatterer rods are specified by the circles, coupler rods are in the oval, and side rods are in the rectangles.

Fig. 2
Fig. 2

Schematic of a generic resonant-cavity channel-drop filter.

Fig. 3
Fig. 3

Channel-drop tunneling process for a resonator system that supports two resonant modes with different symmetry with respect to the mirror plane perpendicular to the waveguides. (a) The even mode decays with the same phase into the forward and backward directions. (b) The odd mode decays into the forward direction, out of phase with the decaying amplitude along the backward direction (c) Decaying amplitudes into the backward direction of both waveguides are canceled, as desired.

Fig. 4
Fig. 4

Channel-drop tunneling process for a resonator system that supports two resonant modes with different symmetry with respect to the mirror plane perpendicular to the waveguides. The modes also have different symmetry with respect to the mirror plane parallel to the waveguides. (a) The mode is even with respect to perpendicular plane and odd with respect to parallel plane and decays with the same phase into the upper and out of phase into the bottom waveguide. (b) The mode is odd with respect to the perpendicular plane and even with respect to parallel plane and decays with the same phase into the upper waveguide and out of phase into the bottom waveguide. (c) The system thus sends the energy into the backward direction of the bottom waveguide, as desired.

Fig. 5
Fig. 5

Field patterns of the cavity degenerate hexapole modes at λ = 1568 nm for a PCRR with R s = R c = r , (a)  HEX 0 , (b)  HEX 90 .

Fig. 6
Fig. 6

(a) Single-ring PCRR CDF, (b) normalized transmission spectra at three output ports B, C, and D for this single-ring PCRR CDF.

Fig. 7
Fig. 7

Peak wavelength delivered to port D versus radius of the side rods.

Fig. 8
Fig. 8

(a) Normalized transmission spectra for a structure with R c = 0.8 r at three output ports B, C, and D for PCRRs with ε r = 12 (at the wavelength λ = 1503 , the normalized power spectra is 86.17%; at the wavelength λ = 1551 , the normalized power spectra is 96.17%; and at the wavelength λ = 1592 , the normalized power spectra is 87.97%). (b) Normalized transmission spectra at three output ports B, C, and D for a structure with coupling rods with ε r = 8.8 .

Fig. 9
Fig. 9

Peak wavelength delivered to port D versus radius of the coupling rods.

Fig. 10
Fig. 10

(a) A double-ring PCRR CDF with three outputs. (b) Normalized transmission spectra at three output ports B, C, and F for a double-ring PC CDF with ε r = 12 (at the wavelength λ = 1503 , the normalized power spectra is 85.61%; at the wavelength λ = 1551 , the normalized power spectra is 85.6%; and at the wavelength λ = 1592 , the normalized power spectra is 86.11%).

Fig. 11
Fig. 11

The electric field patterns for the (a) through (off resonance, λ 0 = 1503 nm ), (b) first drop channel (on resonance, λ 1 = 1592 nm ), and (c) second drop channel (on resonance, λ 1 = 1551 nm ).

Tables (1)

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Table 1 Cross Talk Information at Output Ports

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