Abstract

Topology optimization has been used to design intersections in two-dimensional photonic crystal slab waveguides. We have experimentally confirmed that the optimized intersection displays high-transmittance with low-crosstalk for the straightforward beam-propagation line.

© 2006 Optical Society of America

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  1. S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).
    [CrossRef]
  2. S. Noda, A. Chutinan, and M. Imada, "Trapping and emission of photons by a single defect in a photonic bandgap structure," Nature 407, 608-610 (2000).
    [CrossRef] [PubMed]
  3. H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
    [CrossRef] [PubMed]
  4. H. Nakamura, K. Kanamoto, Y. Nakamura, S. Ohkouchi, H. Ishikawa, and K. Asakawa "Nonlinear optical phase shift in InAs quantum dots measured by a unique two-color pump/probe ellipsometric polarization analysis," J. Appl. Phys. 96, 1425-1434 (2004).
    [CrossRef]
  5. S. G. Johnson, C. Manolatou, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Elimination of cross talk in waveguide intersections," Opt. Lett. 23, 1855-1857 (1998).
    [CrossRef]
  6. S. Lan and H. Ishikawa, "Broadband waveguide intersections with low cross talk in photonic crystal circuits," Opt. Lett. 27, 1567-1569 (2002).
    [CrossRef]
  7. Y.-G. Roh, S. Yoon, H. Jeon S.-H. Han and Q-H. Park, "Experimental verification of cross talk reduction in photonic crystal waveguide crossings," Appl. Phys. Lett. 85, 3351-3353 (2004).
    [CrossRef]
  8. Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, and K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photonics Technol. Lett. 17, 1875-1877 (2005).
    [CrossRef]
  9. M. P. Bendsøe and O. Sigmund, Topology Optimization - Theory, Methods and Applications (Springer, Berlin, 2003).
  10. P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, P. Shi, J. S. Jensen, and O. Sigmund, "Topology optimization and fabrication of photonic crystal structures," Opt. Express 12, 1996-2001 (2004).
    [CrossRef] [PubMed]
  11. L. H. Frandsen, A. Harpøth, P. I. Borel, M. Kristensen, J. S. Jensen, and O. Sigmund, "Broadband photonic crystal waveguide 60º bend obtained utilizing topology optimization," Opt. Express 12, 5916-5921 (2004).
    [CrossRef] [PubMed]
  12. A. Têtu, M. Kristensen, L. H. Frandsen, A. Harpøth, P. I. Borel, J. S. Jensen, and O. Sigmund, "Broadband topology-optimized photonic crystal components for both TE and TM polarizations," Opt. Express 13, 8606-8611 (2005)
    [CrossRef] [PubMed]
  13. J. S. Jensen and O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends," Appl. Phys. Lett. 84, 2022-2024 (2004).
    [CrossRef]
  14. J. S. Jensen and O. Sigmund, "Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguide," J. Opt. Soc. Am. B 22, 1191-1198 (2005).
    [CrossRef]
  15. J. S. Jensen and O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, and M. Kristensen, "Topology design and fabrication of an efficient double 90º photonic crystal waveguide bend," IEEE Photonics Technol. Lett. 17, 1202-1204 (2005).
    [CrossRef]
  16. N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
    [CrossRef]
  17. Y. Tanaka, H. Nakamura, Y. Sugimoto, N. Ikeda, K. Asakawa, and K. Inoue, "Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76-84 (2005).
    [CrossRef]
  18. J. Jin, The Finite Element Method in Electromagnetics, 2nd ed. (New York: Wiley, 2002).
  19. Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slab, " J. Appl. Phys. 91, 922-929 (2002).
    [CrossRef]
  20. K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
    [CrossRef]

2006 (1)

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

2005 (5)

Y. Tanaka, H. Nakamura, Y. Sugimoto, N. Ikeda, K. Asakawa, and K. Inoue, "Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76-84 (2005).
[CrossRef]

A. Têtu, M. Kristensen, L. H. Frandsen, A. Harpøth, P. I. Borel, J. S. Jensen, and O. Sigmund, "Broadband topology-optimized photonic crystal components for both TE and TM polarizations," Opt. Express 13, 8606-8611 (2005)
[CrossRef] [PubMed]

J. S. Jensen and O. Sigmund, "Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguide," J. Opt. Soc. Am. B 22, 1191-1198 (2005).
[CrossRef]

J. S. Jensen and O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, and M. Kristensen, "Topology design and fabrication of an efficient double 90º photonic crystal waveguide bend," IEEE Photonics Technol. Lett. 17, 1202-1204 (2005).
[CrossRef]

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, and K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photonics Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

2004 (7)

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, P. Shi, J. S. Jensen, and O. Sigmund, "Topology optimization and fabrication of photonic crystal structures," Opt. Express 12, 1996-2001 (2004).
[CrossRef] [PubMed]

L. H. Frandsen, A. Harpøth, P. I. Borel, M. Kristensen, J. S. Jensen, and O. Sigmund, "Broadband photonic crystal waveguide 60º bend obtained utilizing topology optimization," Opt. Express 12, 5916-5921 (2004).
[CrossRef] [PubMed]

Y.-G. Roh, S. Yoon, H. Jeon S.-H. Han and Q-H. Park, "Experimental verification of cross talk reduction in photonic crystal waveguide crossings," Appl. Phys. Lett. 85, 3351-3353 (2004).
[CrossRef]

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

H. Nakamura, K. Kanamoto, Y. Nakamura, S. Ohkouchi, H. Ishikawa, and K. Asakawa "Nonlinear optical phase shift in InAs quantum dots measured by a unique two-color pump/probe ellipsometric polarization analysis," J. Appl. Phys. 96, 1425-1434 (2004).
[CrossRef]

J. S. Jensen and O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends," Appl. Phys. Lett. 84, 2022-2024 (2004).
[CrossRef]

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

2002 (2)

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slab, " J. Appl. Phys. 91, 922-929 (2002).
[CrossRef]

S. Lan and H. Ishikawa, "Broadband waveguide intersections with low cross talk in photonic crystal circuits," Opt. Lett. 27, 1567-1569 (2002).
[CrossRef]

2000 (1)

S. Noda, A. Chutinan, and M. Imada, "Trapping and emission of photons by a single defect in a photonic bandgap structure," Nature 407, 608-610 (2000).
[CrossRef] [PubMed]

1999 (1)

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).
[CrossRef]

1998 (1)

Asakawa, K.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

Y. Tanaka, H. Nakamura, Y. Sugimoto, N. Ikeda, K. Asakawa, and K. Inoue, "Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76-84 (2005).
[CrossRef]

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

H. Nakamura, K. Kanamoto, Y. Nakamura, S. Ohkouchi, H. Ishikawa, and K. Asakawa "Nonlinear optical phase shift in InAs quantum dots measured by a unique two-color pump/probe ellipsometric polarization analysis," J. Appl. Phys. 96, 1425-1434 (2004).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slab, " J. Appl. Phys. 91, 922-929 (2002).
[CrossRef]

Borel, P. I.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

A. Têtu, M. Kristensen, L. H. Frandsen, A. Harpøth, P. I. Borel, J. S. Jensen, and O. Sigmund, "Broadband topology-optimized photonic crystal components for both TE and TM polarizations," Opt. Express 13, 8606-8611 (2005)
[CrossRef] [PubMed]

J. S. Jensen and O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, and M. Kristensen, "Topology design and fabrication of an efficient double 90º photonic crystal waveguide bend," IEEE Photonics Technol. Lett. 17, 1202-1204 (2005).
[CrossRef]

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, P. Shi, J. S. Jensen, and O. Sigmund, "Topology optimization and fabrication of photonic crystal structures," Opt. Express 12, 1996-2001 (2004).
[CrossRef] [PubMed]

L. H. Frandsen, A. Harpøth, P. I. Borel, M. Kristensen, J. S. Jensen, and O. Sigmund, "Broadband photonic crystal waveguide 60º bend obtained utilizing topology optimization," Opt. Express 12, 5916-5921 (2004).
[CrossRef] [PubMed]

Busch, K.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, and K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photonics Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Carlsson, N.

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slab, " J. Appl. Phys. 91, 922-929 (2002).
[CrossRef]

Chutinan, A.

S. Noda, A. Chutinan, and M. Imada, "Trapping and emission of photons by a single defect in a photonic bandgap structure," Nature 407, 608-610 (2000).
[CrossRef] [PubMed]

Fan, S.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, and K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photonics Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).
[CrossRef]

S. G. Johnson, C. Manolatou, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Elimination of cross talk in waveguide intersections," Opt. Lett. 23, 1855-1857 (1998).
[CrossRef]

Frandsen, L. H.

Harpøth, A.

Haus, H. A.

Ikeda, N.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

Y. Tanaka, H. Nakamura, Y. Sugimoto, N. Ikeda, K. Asakawa, and K. Inoue, "Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76-84 (2005).
[CrossRef]

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slab, " J. Appl. Phys. 91, 922-929 (2002).
[CrossRef]

Imada, M.

S. Noda, A. Chutinan, and M. Imada, "Trapping and emission of photons by a single defect in a photonic bandgap structure," Nature 407, 608-610 (2000).
[CrossRef] [PubMed]

Inoue, K.

Y. Tanaka, H. Nakamura, Y. Sugimoto, N. Ikeda, K. Asakawa, and K. Inoue, "Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76-84 (2005).
[CrossRef]

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slab, " J. Appl. Phys. 91, 922-929 (2002).
[CrossRef]

Ishida, K.

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

Ishikawa, H.

Jensen, J. S.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

J. S. Jensen and O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, and M. Kristensen, "Topology design and fabrication of an efficient double 90º photonic crystal waveguide bend," IEEE Photonics Technol. Lett. 17, 1202-1204 (2005).
[CrossRef]

A. Têtu, M. Kristensen, L. H. Frandsen, A. Harpøth, P. I. Borel, J. S. Jensen, and O. Sigmund, "Broadband topology-optimized photonic crystal components for both TE and TM polarizations," Opt. Express 13, 8606-8611 (2005)
[CrossRef] [PubMed]

J. S. Jensen and O. Sigmund, "Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguide," J. Opt. Soc. Am. B 22, 1191-1198 (2005).
[CrossRef]

J. S. Jensen and O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends," Appl. Phys. Lett. 84, 2022-2024 (2004).
[CrossRef]

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, P. Shi, J. S. Jensen, and O. Sigmund, "Topology optimization and fabrication of photonic crystal structures," Opt. Express 12, 1996-2001 (2004).
[CrossRef] [PubMed]

L. H. Frandsen, A. Harpøth, P. I. Borel, M. Kristensen, J. S. Jensen, and O. Sigmund, "Broadband photonic crystal waveguide 60º bend obtained utilizing topology optimization," Opt. Express 12, 5916-5921 (2004).
[CrossRef] [PubMed]

Jiao, Y.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, and K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photonics Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Joannopoulos, J. D.

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).
[CrossRef]

S. G. Johnson, C. Manolatou, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Elimination of cross talk in waveguide intersections," Opt. Lett. 23, 1855-1857 (1998).
[CrossRef]

Johnson, S. G.

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).
[CrossRef]

S. G. Johnson, C. Manolatou, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Elimination of cross talk in waveguide intersections," Opt. Lett. 23, 1855-1857 (1998).
[CrossRef]

Kanamoto, K.

H. Nakamura, K. Kanamoto, Y. Nakamura, S. Ohkouchi, H. Ishikawa, and K. Asakawa "Nonlinear optical phase shift in InAs quantum dots measured by a unique two-color pump/probe ellipsometric polarization analysis," J. Appl. Phys. 96, 1425-1434 (2004).
[CrossRef]

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

Kawai, N.

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slab, " J. Appl. Phys. 91, 922-929 (2002).
[CrossRef]

Kristensen, M.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

A. Têtu, M. Kristensen, L. H. Frandsen, A. Harpøth, P. I. Borel, J. S. Jensen, and O. Sigmund, "Broadband topology-optimized photonic crystal components for both TE and TM polarizations," Opt. Express 13, 8606-8611 (2005)
[CrossRef] [PubMed]

J. S. Jensen and O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, and M. Kristensen, "Topology design and fabrication of an efficient double 90º photonic crystal waveguide bend," IEEE Photonics Technol. Lett. 17, 1202-1204 (2005).
[CrossRef]

L. H. Frandsen, A. Harpøth, P. I. Borel, M. Kristensen, J. S. Jensen, and O. Sigmund, "Broadband photonic crystal waveguide 60º bend obtained utilizing topology optimization," Opt. Express 12, 5916-5921 (2004).
[CrossRef] [PubMed]

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, P. Shi, J. S. Jensen, and O. Sigmund, "Topology optimization and fabrication of photonic crystal structures," Opt. Express 12, 1996-2001 (2004).
[CrossRef] [PubMed]

Lan, S.

Manolatou, C.

Maruyama, T.

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

Miller, D. A. B.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, and K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photonics Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Mingaleev, S. F.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, and K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photonics Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Miyashita, K.

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

Mizutani, A.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

Nakamura, H.

Y. Tanaka, H. Nakamura, Y. Sugimoto, N. Ikeda, K. Asakawa, and K. Inoue, "Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76-84 (2005).
[CrossRef]

H. Nakamura, K. Kanamoto, Y. Nakamura, S. Ohkouchi, H. Ishikawa, and K. Asakawa "Nonlinear optical phase shift in InAs quantum dots measured by a unique two-color pump/probe ellipsometric polarization analysis," J. Appl. Phys. 96, 1425-1434 (2004).
[CrossRef]

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

Nakamura, Y.

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

H. Nakamura, K. Kanamoto, Y. Nakamura, S. Ohkouchi, H. Ishikawa, and K. Asakawa "Nonlinear optical phase shift in InAs quantum dots measured by a unique two-color pump/probe ellipsometric polarization analysis," J. Appl. Phys. 96, 1425-1434 (2004).
[CrossRef]

Noda, S.

S. Noda, A. Chutinan, and M. Imada, "Trapping and emission of photons by a single defect in a photonic bandgap structure," Nature 407, 608-610 (2000).
[CrossRef] [PubMed]

Ohkouchi, S.

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

H. Nakamura, K. Kanamoto, Y. Nakamura, S. Ohkouchi, H. Ishikawa, and K. Asakawa "Nonlinear optical phase shift in InAs quantum dots measured by a unique two-color pump/probe ellipsometric polarization analysis," J. Appl. Phys. 96, 1425-1434 (2004).
[CrossRef]

Ozaki, N.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

Roh, Y.-G.

Y.-G. Roh, S. Yoon, H. Jeon S.-H. Han and Q-H. Park, "Experimental verification of cross talk reduction in photonic crystal waveguide crossings," Appl. Phys. Lett. 85, 3351-3353 (2004).
[CrossRef]

Schillinger, M.

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, and K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photonics Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

Shi, P.

Sigmund, O.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

J. S. Jensen and O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, and M. Kristensen, "Topology design and fabrication of an efficient double 90º photonic crystal waveguide bend," IEEE Photonics Technol. Lett. 17, 1202-1204 (2005).
[CrossRef]

J. S. Jensen and O. Sigmund, "Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguide," J. Opt. Soc. Am. B 22, 1191-1198 (2005).
[CrossRef]

A. Têtu, M. Kristensen, L. H. Frandsen, A. Harpøth, P. I. Borel, J. S. Jensen, and O. Sigmund, "Broadband topology-optimized photonic crystal components for both TE and TM polarizations," Opt. Express 13, 8606-8611 (2005)
[CrossRef] [PubMed]

J. S. Jensen and O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends," Appl. Phys. Lett. 84, 2022-2024 (2004).
[CrossRef]

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, P. Shi, J. S. Jensen, and O. Sigmund, "Topology optimization and fabrication of photonic crystal structures," Opt. Express 12, 1996-2001 (2004).
[CrossRef] [PubMed]

L. H. Frandsen, A. Harpøth, P. I. Borel, M. Kristensen, J. S. Jensen, and O. Sigmund, "Broadband photonic crystal waveguide 60º bend obtained utilizing topology optimization," Opt. Express 12, 5916-5921 (2004).
[CrossRef] [PubMed]

Sugimoto, Y.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

Y. Tanaka, H. Nakamura, Y. Sugimoto, N. Ikeda, K. Asakawa, and K. Inoue, "Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76-84 (2005).
[CrossRef]

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slab, " J. Appl. Phys. 91, 922-929 (2002).
[CrossRef]

Takata, Y.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

Tanaka, Y.

Y. Tanaka, H. Nakamura, Y. Sugimoto, N. Ikeda, K. Asakawa, and K. Inoue, "Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76-84 (2005).
[CrossRef]

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

Têtu, A.

Villeneuve, P. R.

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).
[CrossRef]

S. G. Johnson, C. Manolatou, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Elimination of cross talk in waveguide intersections," Opt. Lett. 23, 1855-1857 (1998).
[CrossRef]

Watanabe, Y.

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, and K. Asakawa "Ultra-Fast Photonic Crystal/Quantum Dot All-Optical Switch for Future Photonic Network," Opt. Express 12, 6606-6614 (2004).
[CrossRef] [PubMed]

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

Yoon, S.

Y.-G. Roh, S. Yoon, H. Jeon S.-H. Han and Q-H. Park, "Experimental verification of cross talk reduction in photonic crystal waveguide crossings," Appl. Phys. Lett. 85, 3351-3353 (2004).
[CrossRef]

Appl. Phys. Lett. (2)

Y.-G. Roh, S. Yoon, H. Jeon S.-H. Han and Q-H. Park, "Experimental verification of cross talk reduction in photonic crystal waveguide crossings," Appl. Phys. Lett. 85, 3351-3353 (2004).
[CrossRef]

J. S. Jensen and O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends," Appl. Phys. Lett. 84, 2022-2024 (2004).
[CrossRef]

Electron. Lett. (1)

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. S. Jensen, O. Sigmund, P. I. Borel, M. Kristensen, and K. Asakawa, "Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk," Electron. Lett. 42, 1031-1033 (2006).
[CrossRef]

IEEE J. Quantum Electron. (1)

Y. Tanaka, H. Nakamura, Y. Sugimoto, N. Ikeda, K. Asakawa, and K. Inoue, "Coupling properties in a 2-D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76-84 (2005).
[CrossRef]

IEEE Photonics Technol. Lett. (2)

J. S. Jensen and O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, and M. Kristensen, "Topology design and fabrication of an efficient double 90º photonic crystal waveguide bend," IEEE Photonics Technol. Lett. 17, 1202-1204 (2005).
[CrossRef]

Y. Jiao, S. F. Mingaleev, M. Schillinger, D. A. B. Miller, S. Fan, and K. Busch, "Wannier basis design and optimization of a photonic crystal waveguide crossing," IEEE Photonics Technol. Lett. 17, 1875-1877 (2005).
[CrossRef]

J. Appl. Phys. (2)

H. Nakamura, K. Kanamoto, Y. Nakamura, S. Ohkouchi, H. Ishikawa, and K. Asakawa "Nonlinear optical phase shift in InAs quantum dots measured by a unique two-color pump/probe ellipsometric polarization analysis," J. Appl. Phys. 96, 1425-1434 (2004).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai and K. Inoue "Fabrication and characterization of different types of two-dimensional AlGaAs photonic crystal slab, " J. Appl. Phys. 91, 922-929 (2002).
[CrossRef]

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

Jpn. J. Appl. Phys (1)

K. Inoue, Y. Sugimoto, N. Ikeda, Y. Tanaka, K. Asakawa, T. Maruyama, K. Miyashita, K. Ishida, and Y. Watanabe, "Ultra-small GaAs-photonic-crystal-waveguide-based near-infrared components: Fabrication, guided-mode identification, and estimation of low-loss and broad band-width in straight waveguides, 60º-bends, and Y-splitters," Jpn. J. Appl. Phys 43, 6112-6124 (2004).
[CrossRef]

Nature (1)

S. Noda, A. Chutinan, and M. Imada, "Trapping and emission of photons by a single defect in a photonic bandgap structure," Nature 407, 608-610 (2000).
[CrossRef] [PubMed]

Opt. Express (4)

Opt. Lett. (2)

Phys. Rev. B (1)

S. G. Johnson, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).
[CrossRef]

Other (2)

J. Jin, The Finite Element Method in Electromagnetics, 2nd ed. (New York: Wiley, 2002).

M. P. Bendsøe and O. Sigmund, Topology Optimization - Theory, Methods and Applications (Springer, Berlin, 2003).

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Figures (6)

Fig. 1.
Fig. 1.

Schematic of symmetric Mach-Zehnder type all-optical switch based on the two-dimensional photonic crystal waveguide (PC-SMZ) with intersection of control and signal pulses.

Fig. 2.
Fig. 2.

(a) Initial configuration of photonic crystal waveguides containing intersection. (b) Indication of the design domain (green area), wave input (port a), straightforward output (port d), and two crosstalk output (port b and c).

Fig. 3.
Fig. 3.

(a) Initial design. (b)–(g) Snapshots of the material distribution during the optimization process at every 200th iteration with increased penalty α. (h) Plot of penalty function.

Fig. 4.
Fig. 4.

(a)–(g) Transmittance spectra for straightforward (blue) and crosstalk (red) lines for the designs shown in Fig. 3.

Fig. 5.
Fig. 5.

(a) and (b) Profiles of a steady-state magnetic-field at the frequency 0.26 c/a for the standard and TO designs, respectively. (c) and (d) Transmittance spectra for straightforward (blue) and crosstalk (red-solid and broken lines) lines for the standard and TO designs.

Fig. 6.
Fig. 6.

(a) and (b) IR vidicon plan-view images for standard- and TO-design samples. (c) and (d) Measured transmission spectra at the straightforward (a–d) and crosstalk (a–c) lines for the standard- and TO-design samples.

Metrics