Abstract

We present experimental evidence for strong angular dispersion in a planar photonic crystal (PC) structure by properly engineering the modes in the second PC band. We show that by using the second photonic band of a square lattice PC, angular dispersion of 4°/nm can be achieved. We also show that major challenges in designing practical PC devices using second band modes can be addressed by engineering the lattice and adding input/output buffer stages designed to eliminate unwanted effects.

© 2008 Optical Society of America

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  1. S. Fan, A. Mekis, S. G. Johnson, and J. D. Joannopoulos, "Manipulating light with photonic crystals," AIP Conf. Proc. 560, 57-76 (2001).
    [CrossRef]
  2. T. F. Krauss, "Photonic crystals for integrated optics," AIP Conf. Proc. 560, 89-98 (2001).
    [CrossRef]
  3. J. -J. He, B. Lamontagne, A. Delage, L. Erickson, M. Davies, and E. S. Koteles, "Monolithic integrated wavelength demultiplexer based on a waveguide Rowland circle grating in InGaAsP/InP," J. Lightwave Technol. 16, 631-638 (1998).
    [CrossRef]
  4. S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
    [CrossRef]
  5. P. D. Trinh, S. Yegnanarayanan, F. Coppinger, and B. Jalali, "Silicon-on-insulator (SOI) phased-array wavelength multi/demultiplexer with extremely low-polarization sensitivity," IEEE Photon. Technol. Lett. 9, 940-942 (1997).
    [CrossRef]
  6. T. Fukazawa, F. Ohno, and T. Baba, "Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides," Jpn. J. Appl. Phys. 5B43, L673 - L675 (2004).
    [CrossRef]
  7. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999).
    [CrossRef]
  8. B. Momeni, J. Huang, M. Soltani, M. Askari, S. Mohammadi, A. Adibi, and M. Rakhshandehroo, "Compact wavelength demultiplexing using focusing negative index photonic crystal superprisms," Opt. Express 14, 2413-2422 (2006).
    [CrossRef] [PubMed]
  9. 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-R10099 (1998).
    [CrossRef]
  10. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: Toward microscale lightwave circuits," J. Lightwave Technol. 17, 2032-2038 (1999).
    [CrossRef]
  11. J. Witzens, T. Baehr-Jones, and A. Scherer, "Hybrid superprism with low insertion losses and suppressed cross-talk," Phys. Rev. E 71, 026604-1-9 (2005).
  12. T. Matsumoto, T. Asatsuma, and T. Baba, "Experimental demonstration of a wavelength demultiplexer based on negative-refractive photonic-crystal components," Appl. Phys. Lett. 91, 091117 (2007).
    [CrossRef]
  13. S. G. Johnson, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).
    [CrossRef]
  14. M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, 'Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,' J. Opt. Soc. Amer. A 12, 1068-1076 (1995).
    [CrossRef]
  15. B. Momeni and A. Adibi "Preconditioned superprism-based photonic crystal demultiplexers: analysis and design," Appl. Opt. 45, 8466-8476 (2006).
    [CrossRef] [PubMed]
  16. Y. Vlasov and S. McNab, "Losses in single-mode silicon-on-insulator strip waveguides and bends," Opt. Express 12, 1622-1631 (2004).
    [CrossRef] [PubMed]

2007 (1)

T. Matsumoto, T. Asatsuma, and T. Baba, "Experimental demonstration of a wavelength demultiplexer based on negative-refractive photonic-crystal components," Appl. Phys. Lett. 91, 091117 (2007).
[CrossRef]

2006 (2)

2005 (1)

J. Witzens, T. Baehr-Jones, and A. Scherer, "Hybrid superprism with low insertion losses and suppressed cross-talk," Phys. Rev. E 71, 026604-1-9 (2005).

2004 (3)

Y. Vlasov and S. McNab, "Losses in single-mode silicon-on-insulator strip waveguides and bends," Opt. Express 12, 1622-1631 (2004).
[CrossRef] [PubMed]

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

T. Fukazawa, F. Ohno, and T. Baba, "Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides," Jpn. J. Appl. Phys. 5B43, L673 - L675 (2004).
[CrossRef]

2001 (2)

S. Fan, A. Mekis, S. G. Johnson, and J. D. Joannopoulos, "Manipulating light with photonic crystals," AIP Conf. Proc. 560, 57-76 (2001).
[CrossRef]

T. F. Krauss, "Photonic crystals for integrated optics," AIP Conf. Proc. 560, 89-98 (2001).
[CrossRef]

1999 (3)

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

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: Toward microscale lightwave circuits," J. Lightwave Technol. 17, 2032-2038 (1999).
[CrossRef]

1998 (2)

J. -J. He, B. Lamontagne, A. Delage, L. Erickson, M. Davies, and E. S. Koteles, "Monolithic integrated wavelength demultiplexer based on a waveguide Rowland circle grating in InGaAsP/InP," J. Lightwave Technol. 16, 631-638 (1998).
[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-R10099 (1998).
[CrossRef]

1997 (1)

P. D. Trinh, S. Yegnanarayanan, F. Coppinger, and B. Jalali, "Silicon-on-insulator (SOI) phased-array wavelength multi/demultiplexer with extremely low-polarization sensitivity," IEEE Photon. Technol. Lett. 9, 940-942 (1997).
[CrossRef]

1995 (1)

M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, 'Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,' J. Opt. Soc. Amer. A 12, 1068-1076 (1995).
[CrossRef]

Adibi, A.

Asatsuma, T.

T. Matsumoto, T. Asatsuma, and T. Baba, "Experimental demonstration of a wavelength demultiplexer based on negative-refractive photonic-crystal components," Appl. Phys. Lett. 91, 091117 (2007).
[CrossRef]

Askari, M.

Baba, T.

T. Matsumoto, T. Asatsuma, and T. Baba, "Experimental demonstration of a wavelength demultiplexer based on negative-refractive photonic-crystal components," Appl. Phys. Lett. 91, 091117 (2007).
[CrossRef]

T. Fukazawa, F. Ohno, and T. Baba, "Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides," Jpn. J. Appl. Phys. 5B43, L673 - L675 (2004).
[CrossRef]

Baehr-Jones, T.

J. Witzens, T. Baehr-Jones, and A. Scherer, "Hybrid superprism with low insertion losses and suppressed cross-talk," Phys. Rev. E 71, 026604-1-9 (2005).

Balakrishnan, A.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Charbonneau, S.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Cheben, P.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Cloutier, M.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Coppinger, F.

P. D. Trinh, S. Yegnanarayanan, F. Coppinger, and B. Jalali, "Silicon-on-insulator (SOI) phased-array wavelength multi/demultiplexer with extremely low-polarization sensitivity," IEEE Photon. Technol. Lett. 9, 940-942 (1997).
[CrossRef]

Davies, M.

Delage, A.

Delâge, A.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Dossou, K.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Erickson, L.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

J. -J. He, B. Lamontagne, A. Delage, L. Erickson, M. Davies, and E. S. Koteles, "Monolithic integrated wavelength demultiplexer based on a waveguide Rowland circle grating in InGaAsP/InP," J. Lightwave Technol. 16, 631-638 (1998).
[CrossRef]

Fan, S.

S. Fan, A. Mekis, S. G. Johnson, and J. D. Joannopoulos, "Manipulating light with photonic crystals," AIP Conf. Proc. 560, 57-76 (2001).
[CrossRef]

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

Fukazawa, T.

T. Fukazawa, F. Ohno, and T. Baba, "Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides," Jpn. J. Appl. Phys. 5B43, L673 - L675 (2004).
[CrossRef]

Gao, M.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Gaylord, T. K.

M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, 'Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,' J. Opt. Soc. Amer. A 12, 1068-1076 (1995).
[CrossRef]

Grann, E. B.

M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, 'Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,' J. Opt. Soc. Amer. A 12, 1068-1076 (1995).
[CrossRef]

He, J. -J.

Huang, J.

Jalali, B.

P. D. Trinh, S. Yegnanarayanan, F. Coppinger, and B. Jalali, "Silicon-on-insulator (SOI) phased-array wavelength multi/demultiplexer with extremely low-polarization sensitivity," IEEE Photon. Technol. Lett. 9, 940-942 (1997).
[CrossRef]

Janz, S.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Joannopoulos, J. D.

S. Fan, A. Mekis, S. G. Johnson, and J. D. Joannopoulos, "Manipulating light with photonic crystals," AIP Conf. Proc. 560, 57-76 (2001).
[CrossRef]

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

Johnson, S. G.

S. Fan, A. Mekis, S. G. Johnson, and J. D. Joannopoulos, "Manipulating light with photonic crystals," AIP Conf. Proc. 560, 57-76 (2001).
[CrossRef]

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

Kawakami, S.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: Toward microscale lightwave circuits," J. Lightwave Technol. 17, 2032-2038 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (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-R10099 (1998).
[CrossRef]

Kawashima, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: Toward microscale lightwave circuits," J. Lightwave Technol. 17, 2032-2038 (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-R10099 (1998).
[CrossRef]

Kolodziejski, L. A.

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

Kosaka, H.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: Toward microscale lightwave circuits," J. Lightwave Technol. 17, 2032-2038 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (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-R10099 (1998).
[CrossRef]

Koteles, E. S.

Krauss, T. F.

T. F. Krauss, "Photonic crystals for integrated optics," AIP Conf. Proc. 560, 89-98 (2001).
[CrossRef]

Krug, P. A.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Lamontagne, B.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

J. -J. He, B. Lamontagne, A. Delage, L. Erickson, M. Davies, and E. S. Koteles, "Monolithic integrated wavelength demultiplexer based on a waveguide Rowland circle grating in InGaAsP/InP," J. Lightwave Technol. 16, 631-638 (1998).
[CrossRef]

Matsumoto, T.

T. Matsumoto, T. Asatsuma, and T. Baba, "Experimental demonstration of a wavelength demultiplexer based on negative-refractive photonic-crystal components," Appl. Phys. Lett. 91, 091117 (2007).
[CrossRef]

McNab, S.

Mekis, A.

S. Fan, A. Mekis, S. G. Johnson, and J. D. Joannopoulos, "Manipulating light with photonic crystals," AIP Conf. Proc. 560, 57-76 (2001).
[CrossRef]

Mohammadi, S.

Moharam, M. G.

M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, 'Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,' J. Opt. Soc. Amer. A 12, 1068-1076 (1995).
[CrossRef]

Momeni, B.

Notomi, M.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: Toward microscale lightwave circuits," J. Lightwave Technol. 17, 2032-2038 (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-R10099 (1998).
[CrossRef]

Ohno, F.

T. Fukazawa, F. Ohno, and T. Baba, "Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides," Jpn. J. Appl. Phys. 5B43, L673 - L675 (2004).
[CrossRef]

Packirisamy, M.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Pearson, M.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Pommet, D. A.

M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, 'Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,' J. Opt. Soc. Amer. A 12, 1068-1076 (1995).
[CrossRef]

Rakhshandehroo, M.

Sato, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: Toward microscale lightwave circuits," J. Lightwave Technol. 17, 2032-2038 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (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-R10099 (1998).
[CrossRef]

Scherer, A.

J. Witzens, T. Baehr-Jones, and A. Scherer, "Hybrid superprism with low insertion losses and suppressed cross-talk," Phys. Rev. E 71, 026604-1-9 (2005).

Soltani, M.

Tamamura, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: Toward microscale lightwave circuits," J. Lightwave Technol. 17, 2032-2038 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (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-R10099 (1998).
[CrossRef]

Tomita, A.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: Toward microscale lightwave circuits," J. Lightwave Technol. 17, 2032-2038 (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-R10099 (1998).
[CrossRef]

Trinh, P. D.

P. D. Trinh, S. Yegnanarayanan, F. Coppinger, and B. Jalali, "Silicon-on-insulator (SOI) phased-array wavelength multi/demultiplexer with extremely low-polarization sensitivity," IEEE Photon. Technol. Lett. 9, 940-942 (1997).
[CrossRef]

Villeneuve, P. R.

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

Vlasov, Y.

Witzens, J.

J. Witzens, T. Baehr-Jones, and A. Scherer, "Hybrid superprism with low insertion losses and suppressed cross-talk," Phys. Rev. E 71, 026604-1-9 (2005).

Xu, D.-X.

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

Yegnanarayanan, S.

P. D. Trinh, S. Yegnanarayanan, F. Coppinger, and B. Jalali, "Silicon-on-insulator (SOI) phased-array wavelength multi/demultiplexer with extremely low-polarization sensitivity," IEEE Photon. Technol. Lett. 9, 940-942 (1997).
[CrossRef]

AIP Conf. Proc. (2)

S. Fan, A. Mekis, S. G. Johnson, and J. D. Joannopoulos, "Manipulating light with photonic crystals," AIP Conf. Proc. 560, 57-76 (2001).
[CrossRef]

T. F. Krauss, "Photonic crystals for integrated optics," AIP Conf. Proc. 560, 89-98 (2001).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999).
[CrossRef]

T. Matsumoto, T. Asatsuma, and T. Baba, "Experimental demonstration of a wavelength demultiplexer based on negative-refractive photonic-crystal components," Appl. Phys. Lett. 91, 091117 (2007).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

S. Janz, A. Balakrishnan, S. Charbonneau, P. Cheben, M. Cloutier, A. Delâge, K. Dossou, L. Erickson, M. Gao, P. A. Krug, B. Lamontagne, M. Packirisamy, M. Pearson, and D.-X. Xu, "Planar waveguide Echelle gratings in silica-on-silicon," IEEE Photon. Technol. Lett. 16, 503-505 (2004).
[CrossRef]

P. D. Trinh, S. Yegnanarayanan, F. Coppinger, and B. Jalali, "Silicon-on-insulator (SOI) phased-array wavelength multi/demultiplexer with extremely low-polarization sensitivity," IEEE Photon. Technol. Lett. 9, 940-942 (1997).
[CrossRef]

J. Lightwave Technol. (2)

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

M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, 'Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,' J. Opt. Soc. Amer. A 12, 1068-1076 (1995).
[CrossRef]

Jpn. J. Appl. Phys. (1)

T. Fukazawa, F. Ohno, and T. Baba, "Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides," Jpn. J. Appl. Phys. 5B43, L673 - L675 (2004).
[CrossRef]

Opt. Express (2)

Phys. Rev. B (2)

S. G. Johnson, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (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-R10099 (1998).
[CrossRef]

Phys. Rev. E (1)

J. Witzens, T. Baehr-Jones, and A. Scherer, "Hybrid superprism with low insertion losses and suppressed cross-talk," Phys. Rev. E 71, 026604-1-9 (2005).

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Figures (4)

Fig. 1.
Fig. 1.

(a) SEM image of a square lattice PC in a SOI wafer. (b) The excitation configuration is illustrated, in which the optical beam illuminates the PC interface at an incident angle of α. (c) Band structure of a square lattice PC structure in SOI with r=96 nm and a=400 nm is shown. The dotted line shows the locus of the modes excited in the PC with an incident wave from an unpatterned Si slab region on the same wafer at an incident angle of α=25°. The two arrows on this plot show the directions of the group velocities (normal to iso-frequency contours) inside the PC structure at wavelengths of 1460 and 1442 nm. Rapid change of the angle of group velocity with a small change in the incident wavelength is evident from this figure. The dashed line shows the cross section of TE-like and TM-like modes (the vicinity of this line must be avoided).

Fig. 2.
Fig. 2.

(a) Wavevectors of the incident and refracted waves at the interface of a PC are schematically shown when a PC buffer stage is used. The half-circles in this figure show the dispersion diagram of each region at the operation frequency. The Floquet-type reflected order, kr,-1, which is excited when no buffer stage is present is diminished, since it cannot propagate through the buffer stage. (b) Total transmission through the 2D photonic crystal structure shown in the inset is calculated with (solid curve) and without (dashed curve) the PC buffer stage. The operation is assumed in the second PC band, and the incident angle is α=25°.

Fig. 3.
Fig. 3.

(a) SEM image of the interface of the PC demultiplexer is shown, revealing the details of the PC buffer stage. (b) Overall view of the photonic crystal device is shown. Six layers of small-period buffer PC are used at each interface to avoid unwanted Floquet-type transmission and reflection orders. The waveguides on the right (which are spaced 3 µm apart) sample the output optical beam profile and carry the signal to the output edge of the SOI device.

Fig. 4.
Fig. 4.

(a) Channel responses for four of the output waveguides in the structure shown in Fig. 3 are measured and plotted after normalization. The wavelength of maximum transmission in each channel response presents the angle of refraction inside the PC corresponding to that wavelength. Plots of refraction angles inside the PC are plotted for different wavelengths using the experimentally measured transmission data (circles) and compared with those predicted from the band structure (solid curve).

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