Abstract

The design of a complete demultiplexer based on the k-vector superprism in a 1-D slab photonic crystal is proposed. This design scales to resolve 32 channels spaced by 0.8 nm (100 GHz) in the C band for a dense wavelength division multiplexing system. It is shown that a prism area of 0.017 mm2 is sufficient for the required wavelength resolution using typical silicon-on-insulator technology and that the total chip size would be 4×3 mm2. In order to achieve this, the modest angular dispersion of a 1-D slab photonic crystal is enhanced by considerably expanding the input beam through the superprism region and employing etched mirrors to collimate and focus the light into and out of the superprism. The plane wave expansion method is used to obtain the wave vector diagram and from this we develop design equations based on conventional ray tracing. We then present an optimization approach which minimizes the prism area whilst maintaining the necessary dispersion. Finally the non-uniformity of phase velocity dispersion across the desired spectral window is addressed.

© 2005 Optical Society of America

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  1. S. Enoch, G. Tayeb, and B. Gralak, “The richness of the dispersion relation of electromagnetic band gap materials”, IEEE Trans. Ant. Prop. 51, 2659–2666 (2003).
    [Crossref]
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    [Crossref]
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    [Crossref]
  4. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimiating phenamena in photonic crystal,” Appl. Phys. Lett. 74, 1212–1214 (1999).
    [Crossref]
  5. T. Matsumoto and T. Baba, “Photonic Crystal k-vector superprism,” J. Lightwave Technol. 22, 917–922 (2004).
    [Crossref]
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    [Crossref]
  7. A. G. Kirk and A. Bakhtazad, “Dispersion optimization of a 1-D superprism based on phase velocities” LEOS 2004, 7–11 November 2004, 879–880 (2004).
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
  13. H. G. Unger, Planar Optical Waveguides and fibers, (Oxford, UK, Clarendon Press, Oxford Engineering Science Series, 1977).
  14. P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
    [Crossref]
  15. Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
    [Crossref]
  16. T. Baba, A. Motegi, T. Iwai, N. Faoyuki, Y. Wantanabe, and A. Sakai, “Light propagation characteristic of straight single-line-defect waveguides in photonic crystal slabs fabricated into a silicon-on insulator substrate,” IEEE J. Quantum Electron. 38, 734–752 (2002).
    [Crossref]
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2004 (7)

A. Bakhtazad, A., and A. G. Kirk, “Superprism effect with planar 1-D photonic crystal” Proc. SPIE 5360, 364–372 (2004).
[Crossref]

W. N. Ye, D. Xu, S. Janz, P. Cheben, A. Delage, M. Picard, B. Lamontage, and N. G. Tarr, “Stress-induced birefringence in silicon-on-insulator (SOI) waveguides, Proc. SPIE 5357, 57–66 (2004).
[Crossref]

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

C. Luo, M. Soljacic, and J.D. Joannopoulos, “Superprism effect based on phase velocities,” Opt. Lett. 29, 745–747 (2004).
[Crossref] [PubMed]

T. Matsumoto and T. Baba, “Photonic Crystal k-vector superprism,” J. Lightwave Technol. 22, 917–922 (2004).
[Crossref]

L. Wu, M. Mazilu, J. F. Gallet, T.F. Krauss, A. Jugessur, and R.M. De La Rue, “Planar photonic crystal polarization splitter,” Opt. Lett. 29, 1620–1622 (2004).
[Crossref] [PubMed]

2003 (2)

S. Enoch, G. Tayeb, and B. Gralak, “The richness of the dispersion relation of electromagnetic band gap materials”, IEEE Trans. Ant. Prop. 51, 2659–2666 (2003).
[Crossref]

L. Wu, M. Mazilu, and T.F. Krauss, “Beam steering in planar-photonic crystals: from superprism to supercollimator”, J. Lightwave Technol. 21, 561–566 (2003).
[Crossref]

2002 (1)

T. Baba, A. Motegi, T. Iwai, N. Faoyuki, Y. Wantanabe, and A. Sakai, “Light propagation characteristic of straight single-line-defect waveguides in photonic crystal slabs fabricated into a silicon-on insulator substrate,” IEEE J. Quantum Electron. 38, 734–752 (2002).
[Crossref]

1999 (2)

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, “Self-collimiating phenamena in photonic crystal,” Appl. Phys. Lett. 74, 1212–1214 (1999).
[Crossref]

1977 (1)

A.,

A. Bakhtazad, A., and A. G. Kirk, “Superprism effect with planar 1-D photonic crystal” Proc. SPIE 5360, 364–372 (2004).
[Crossref]

Adibi, A.

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Baba, T.

T. Matsumoto and T. Baba, “Photonic Crystal k-vector superprism,” J. Lightwave Technol. 22, 917–922 (2004).
[Crossref]

T. Baba, A. Motegi, T. Iwai, N. Faoyuki, Y. Wantanabe, and A. Sakai, “Light propagation characteristic of straight single-line-defect waveguides in photonic crystal slabs fabricated into a silicon-on insulator substrate,” IEEE J. Quantum Electron. 38, 734–752 (2002).
[Crossref]

K. OkamotoFundamentals of optical waveguides, (Academic press, ch. 9, 2000) p. 353. T. Baba and D. Ohsaki, “Interface of photonic crystal for high efficiency light transmission,” Jpn. J. Appl. Phys.40, 5920–5924 (2001).

Baets, R.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Bakhtazad, A.

A. Bakhtazad, A., and A. G. Kirk, “Superprism effect with planar 1-D photonic crystal” Proc. SPIE 5360, 364–372 (2004).
[Crossref]

A. G. Kirk and A. Bakhtazad, “Dispersion optimization of a 1-D superprism based on phase velocities” LEOS 2004, 7–11 November 2004, 879–880 (2004).

Beckx, S.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

bienstman, P.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Birks, T. A.

P. St. Russell, T. A. Birks, and F.D. Lloyd-Lucas, in Confined Electrons and Photons, edited by E. Burstein and C. Weisbuch (NATO, Plenum, New York, 1995), p. 585.
[Crossref]

Bogaerts, W.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Campenhout, J.V.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Cheben, P.

W. N. Ye, D. Xu, S. Janz, P. Cheben, A. Delage, M. Picard, B. Lamontage, and N. G. Tarr, “Stress-induced birefringence in silicon-on-insulator (SOI) waveguides, Proc. SPIE 5357, 57–66 (2004).
[Crossref]

Chow, E.

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

De La Rue, R.M.

Delage, A.

W. N. Ye, D. Xu, S. Janz, P. Cheben, A. Delage, M. Picard, B. Lamontage, and N. G. Tarr, “Stress-induced birefringence in silicon-on-insulator (SOI) waveguides, Proc. SPIE 5357, 57–66 (2004).
[Crossref]

Dumon, P.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Enoch, S.

S. Enoch, G. Tayeb, and B. Gralak, “The richness of the dispersion relation of electromagnetic band gap materials”, IEEE Trans. Ant. Prop. 51, 2659–2666 (2003).
[Crossref]

Faoyuki, N.

T. Baba, A. Motegi, T. Iwai, N. Faoyuki, Y. Wantanabe, and A. Sakai, “Light propagation characteristic of straight single-line-defect waveguides in photonic crystal slabs fabricated into a silicon-on insulator substrate,” IEEE J. Quantum Electron. 38, 734–752 (2002).
[Crossref]

Gallet, J. F.

Girolami, G.

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Gralak, B.

S. Enoch, G. Tayeb, and B. Gralak, “The richness of the dispersion relation of electromagnetic band gap materials”, IEEE Trans. Ant. Prop. 51, 2659–2666 (2003).
[Crossref]

Grot, A.

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Hong, C.S.

Huang, J.

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Iwai, T.

T. Baba, A. Motegi, T. Iwai, N. Faoyuki, Y. Wantanabe, and A. Sakai, “Light propagation characteristic of straight single-line-defect waveguides in photonic crystal slabs fabricated into a silicon-on insulator substrate,” IEEE J. Quantum Electron. 38, 734–752 (2002).
[Crossref]

Jafarpour,

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Janz, S.

W. N. Ye, D. Xu, S. Janz, P. Cheben, A. Delage, M. Picard, B. Lamontage, and N. G. Tarr, “Stress-induced birefringence in silicon-on-insulator (SOI) waveguides, Proc. SPIE 5357, 57–66 (2004).
[Crossref]

Joannopoulos, J.D.

Jugessur, A.

Kawakami, S.

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, “Self-collimiating phenamena in photonic crystal,” Appl. Phys. Lett. 74, 1212–1214 (1999).
[Crossref]

Kawashima, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimiating phenamena in photonic crystal,” Appl. Phys. Lett. 74, 1212–1214 (1999).
[Crossref]

Kirk, A. G.

A. Bakhtazad, A., and A. G. Kirk, “Superprism effect with planar 1-D photonic crystal” Proc. SPIE 5360, 364–372 (2004).
[Crossref]

A. G. Kirk and A. Bakhtazad, “Dispersion optimization of a 1-D superprism based on phase velocities” LEOS 2004, 7–11 November 2004, 879–880 (2004).

Kosaka, H.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimiating phenamena in photonic crystal,” Appl. Phys. Lett. 74, 1212–1214 (1999).
[Crossref]

Krauss, T.F.

Lamontage, B.

W. N. Ye, D. Xu, S. Janz, P. Cheben, A. Delage, M. Picard, B. Lamontage, and N. G. Tarr, “Stress-induced birefringence in silicon-on-insulator (SOI) waveguides, Proc. SPIE 5357, 57–66 (2004).
[Crossref]

Lee, R.K.

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Lloyd-Lucas, F.D.

P. St. Russell, T. A. Birks, and F.D. Lloyd-Lucas, in Confined Electrons and Photons, edited by E. Burstein and C. Weisbuch (NATO, Plenum, New York, 1995), p. 585.
[Crossref]

Luo, C.

Luyssaert, B.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Matsumoto, T.

Mazilu, M.

Mirkarimi, L. W.

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Motegi, A.

T. Baba, A. Motegi, T. Iwai, N. Faoyuki, Y. Wantanabe, and A. Sakai, “Light propagation characteristic of straight single-line-defect waveguides in photonic crystal slabs fabricated into a silicon-on insulator substrate,” IEEE J. Quantum Electron. 38, 734–752 (2002).
[Crossref]

Notomi, M.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimiating phenamena in photonic crystal,” Appl. Phys. Lett. 74, 1212–1214 (1999).
[Crossref]

Ohsaki, D.

K. OkamotoFundamentals of optical waveguides, (Academic press, ch. 9, 2000) p. 353. T. Baba and D. Ohsaki, “Interface of photonic crystal for high efficiency light transmission,” Jpn. J. Appl. Phys.40, 5920–5924 (2001).

Okamoto, K.

K. OkamotoFundamentals of optical waveguides, (Academic press, ch. 9, 2000) p. 353. T. Baba and D. Ohsaki, “Interface of photonic crystal for high efficiency light transmission,” Jpn. J. Appl. Phys.40, 5920–5924 (2001).

Picard, M.

W. N. Ye, D. Xu, S. Janz, P. Cheben, A. Delage, M. Picard, B. Lamontage, and N. G. Tarr, “Stress-induced birefringence in silicon-on-insulator (SOI) waveguides, Proc. SPIE 5357, 57–66 (2004).
[Crossref]

Reinke, C. M.

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Russell, P. St.

P. St. Russell, T. A. Birks, and F.D. Lloyd-Lucas, in Confined Electrons and Photons, edited by E. Burstein and C. Weisbuch (NATO, Plenum, New York, 1995), p. 585.
[Crossref]

Sakai, A.

T. Baba, A. Motegi, T. Iwai, N. Faoyuki, Y. Wantanabe, and A. Sakai, “Light propagation characteristic of straight single-line-defect waveguides in photonic crystal slabs fabricated into a silicon-on insulator substrate,” IEEE J. Quantum Electron. 38, 734–752 (2002).
[Crossref]

Sato, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimiating phenamena in photonic crystal,” Appl. Phys. Lett. 74, 1212–1214 (1999).
[Crossref]

Soljacic, M.

Taillaert, D.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Tamamura, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimiating phenamena in photonic crystal,” Appl. Phys. Lett. 74, 1212–1214 (1999).
[Crossref]

Tarr, N. G.

W. N. Ye, D. Xu, S. Janz, P. Cheben, A. Delage, M. Picard, B. Lamontage, and N. G. Tarr, “Stress-induced birefringence in silicon-on-insulator (SOI) waveguides, Proc. SPIE 5357, 57–66 (2004).
[Crossref]

Tayeb, G.

S. Enoch, G. Tayeb, and B. Gralak, “The richness of the dispersion relation of electromagnetic band gap materials”, IEEE Trans. Ant. Prop. 51, 2659–2666 (2003).
[Crossref]

Thourhout, D. V.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Tomita, A.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimiating phenamena in photonic crystal,” Appl. Phys. Lett. 74, 1212–1214 (1999).
[Crossref]

Unger, H. G.

H. G. Unger, Planar Optical Waveguides and fibers, (Oxford, UK, Clarendon Press, Oxford Engineering Science Series, 1977).

Wantanabe, Y.

T. Baba, A. Motegi, T. Iwai, N. Faoyuki, Y. Wantanabe, and A. Sakai, “Light propagation characteristic of straight single-line-defect waveguides in photonic crystal slabs fabricated into a silicon-on insulator substrate,” IEEE J. Quantum Electron. 38, 734–752 (2002).
[Crossref]

Wiaux, V.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Wouters, J.

P. Dumon, W. Bogaerts, V. Wiaux, J. Wouters, S. Beckx, J.V. Campenhout, D. Taillaert, B. Luyssaert, P. bienstman, D. V. Thourhout, and R. Baets, “Low-loss SOI photonic wires and ring resonators fabricated with deep uv lithography,” IEEE Phot.onics Technol. Lett. 16, 1328–1330 (2004).
[Crossref]

Wu, L.

Xu, D.

W. N. Ye, D. Xu, S. Janz, P. Cheben, A. Delage, M. Picard, B. Lamontage, and N. G. Tarr, “Stress-induced birefringence in silicon-on-insulator (SOI) waveguides, Proc. SPIE 5357, 57–66 (2004).
[Crossref]

Xu, Y.

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Yariv, A.

Ye, W. N.

W. N. Ye, D. Xu, S. Janz, P. Cheben, A. Delage, M. Picard, B. Lamontage, and N. G. Tarr, “Stress-induced birefringence in silicon-on-insulator (SOI) waveguides, Proc. SPIE 5357, 57–66 (2004).
[Crossref]

Yeh, P.

Appl. Phys. B (1)

Jafarpour, E. Chow, C. M. Reinke, J. Huang, A. Adibi, A. Grot, L. W. Mirkarimi, G. Girolami, R.K. Lee, and Y. Xu, “Large-bandwidth ultra-low-loss guiding in bi-periodic crystal waveguides,” Appl. Phys. B 79, 409–414 (2004).
[Crossref]

Appl. Phys. Lett. (1)

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Figures (9)

Fig. 1.
Fig. 1.

Proposed 1-D slab photonic crystal demultiplexer

Fig. 2.
Fig. 2.

Typical normalized wave vector diagram (nxkx /k 0, n zkz /k 0) for a 1-D slab photonic crystal

Fig. 3.
Fig. 3.

The cross section of 1-D slab photonic crystal in SOI technology

Fig. 4.
Fig. 4.

Variation of propagation constant with wave number versus period at the band edge

Fig. 5.
Fig. 5.

The prism with slanted stratified media

Fig 6.
Fig 6.

Relationship between prism facets and beam size that results in a minimum prism area

Fig 7.
Fig 7.

Minimum prism surface and the corresponding angular dispersion versus slant angle for the structure of Fig. 3

Fig. 8.
Fig. 8.

Normalized wave vector diagram (nxkx /k 0, nzkz /k 0) for the superprism specified in Table 1

Fig. 9.
Fig. 9.

Angular dispersion and required output waveguide separation as a function of wavelength for the device specified in Table 1, assuming minimum output waveguide spacing of Λ i =1.75µm≈3.5 w 0.

Tables (1)

Tables Icon

Table 1. The optimum superprism slab 1-D superprism parameters

Equations (9)

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I ( r , θ , y ) = 2 I 0 π h 0 θ 0 r exp ( 2 θ 2 θ 0 2 ) exp ( 2 y 2 h 0 2 )
θ 0 = 0 π n eff ( slab ) w 0
f = Λ i 2 sin ( η δ 2 ) 3.5 w 0 η δ
L = 2 f sin θ 0
L min 7 0 ( η δ ) n eff ( slab ) π
l 2 l 1 = cos φ 2 cos ( ρ + φ 2 )
L 2 L 1 = cos φ 1 cos φ 4 · l 2 l 1
L 1 = L min m , L 2 = M m L min
l 1 = L 1 cos φ 1 , l 2 = L 2 cos φ 4 M

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