Abstract

We propose a novel compact wavelength demultiplexer, for which two functions arising from the anomalous dispersion characteristics of photonic crystals are combined. One is the superprism that exhibits large angular dispersion and expansion of light beam. The other is the superlens used for the focusing of the expanded light beam. Theoretically, a high resolution of 0.4 nm will be realized in the 1.55 μm wavelength range with device areas of 0.2 and 2.0 mm2, respectively, for available bandwidths of 3 and 35 nm. Also, a low insertion loss of less than 1 dB is expected by the optimization of input and output ends of the photonic crystals. The demultiplexing function is clearly demonstrated in finite-difference time-domain simulation.

© 2005 Optical Society of America

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  1. P. P. St. J. Russell and T. B. Birks , “ Bloch wave optics in photonic crystals: physics and applications ,” Photonic band gap materials, C. M. Soukoulis , ed. (Kluwer 1996 ), pp. 71 – 91 .
  2. 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]
  3. T. Ochiai and J. Sanchez-Dehesa , “ Superprism effect in opal-based photonic crystals ,” Phys. Rev. B   64 , 245113 ( 2001 ).
    [Crossref]
  4. T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
    [Crossref]
  5. L. Wu , M. Mazilu , T. Karle , and T. F. Krauss , “ Superprism phenomena in planar photonic crystal ,” IEEE. J. Quantum. Elecron.   38 , 915 – 918 ( 2002 ).
    [Crossref]
  6. K. B. Chung and S. W. Hong , “ Wavelength demultiplexers based on the superprism phenomena in photonic crystals ,” Appl. Phys. Lett.   81 , 1549 – 1551 ( 2002 ).
    [Crossref]
  7. T. Baba and T. Matsumoto , “ Resolution of photonic crystal superprism ,” Appl. Phys. Lett.   81 , 2325 – 2327 ( 2002 ).
    [Crossref]
  8. T. Prasad , V. Colvin , and D. Mittleman , “ Superprism phenomenon in three-dimensional macroporous polymer photonic crystals ,” Phys Rev. B   67 , 165103 ( 2003 ).
    [Crossref]
  9. B. Momeni and A. Adibi , “ Optimization of photonic crystal demultiplexers based on the superprism effect ,” Appl. Phys. B   77 , 555 – 560 ( 2003 ).
    [Crossref]
  10. D. Scrymgeour , N. Malkova , S. Kim , and V. Gopalan , “ Electro-optic control of the superprism effect in photonic crystals ,” Appl. Phys. Lett.   82 , 3176 – 3178 ( 2003 ).
    [Crossref]
  11. A. V. Zayats and W. Dickson “ Polarization superprism effect in surface polaritonic crystals ,” Appl. Phys. Lett.   82 , 4438 – 4440 ( 2003 ).
    [Crossref]
  12. T. Matsumoto and T. Baba , “ Photonic crystal k -vector superprism ,” J. Lightwave Technol.   22 , 917 – 922 ( 2004 ).
    [Crossref]
  13. T. Baba , T. Matsumoto , and M. Echizen , “ Finite difference time domain study of high efficiency photonic crystal superprisms ,” Opt. Express   12 , 4608 – 4613 ( 2004 ), www.opticsexpress.org/abstract.cfm?URI=OPEX-12-19-4608.
    [Crossref] [PubMed]
  14. J. J. Baumberg , N. M. B. Perney , M. C. Netti , M. D. C. Charlton , M. Zoorob , and G. J. Parker , “ Visible-wavelength super-refraction in photonic crystal superprisms ,” Appl. Phys. Lett.   85 , 354 – 356 ( 2004 ).
    [Crossref]
  15. C. Luo , M. Soljacic , and J. D. Joannopoulos , “ Superprism effect based on phase velocities ,” Opt. Lett.   29 , 745 – 747 ( 2004 ).
    [Crossref] [PubMed]
  16. A. I. Cabuz , E. Centeno , and D. Cassagne , “ Superprism effect in bidimensional rectangular photonic crystals ,” Appl. Phys. Lett.   84 , 2031 – 2033 ( 2004 ).
    [Crossref]
  17. J. Witzens , T. Baehr-Jones , and A. Scherer , “ Hybrid superprism with low insertion losses and suppressed crosstalk ,” Phys. Rev. E   71 , 026604 ( 2005 ).
    [Crossref]
  18. H. Kosaka , T. Kawashima , A. Tomita , M. Notomi , T. Tamamura , T. Sato , and S. Kawakami , “ Self-collimating phenomena in photonic crystal ,” Appl. Phys. Lett.   74 , 1212 – 1214 ( 1999 ).
    [Crossref]
  19. C. Luo , S. G. Johnson , J. D. Joannopoulos , and J. B. Pendry , “ Subwavelength imaging in photonic crystals ,” Phys. Rev. B   68 , 045115 ( 2003 ).
    [Crossref]
  20. E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett   91 , 207401 ( 2004 ).
    [Crossref]
  21. A. Husakou and J. Herrmann , “ Superfocusing of light below the diffraction limit by photonic crystals with negative refraction ,” Opt. Express   12 , 6491 – 6497 ( 2004 ), www.opticsexpress.org/abstract.cfm?URI=OPEX-12-26-6491.
    [Crossref] [PubMed]
  22. M. Notomi , “ Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap ,” Phys. Rev. B   62 , 10696 – 10705 ( 2000 ).
    [Crossref]
  23. A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
    [Crossref]
  24. J. Witzens , M. Loncar , and A. Scherer , “ Self-collimation in planar photonic crystals ,” IEEE J. Select. Topics Quantum Electon.   8 , 1246 – 1257 ( 2002 ).
    [Crossref]
  25. X. Yu and S. Fan , “ Bends and splitters for self-collimated beams in photonic crystals ,” Appl. Phys. Lett.   83 , 3251 – 3253 ( 2003 ).
    [Crossref]
  26. C. Chen , G. Jin , S. Shi , A. Sharkawy , and D. W. Prather , “ A unidirectional photonic crystal dispersion-based emitter ,” Appl. Phys. Lett.   84 , 3151 – 3153 ( 2004 ).
    [Crossref]
  27. T. Baba and D. Ohsaki , “ Interfaces of photonic crystals for high efficiency light transmission ,” Jpn. J. Appl. Phys.   40 , 5920 – 5924 ( 2001 ).
    [Crossref]
  28. T. Fukazawa , F. Ohno , and T. Baba , “ Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides ,” Jpn. J. Appl. Phys.   43 , L673 – L675 ( 2004 ).
    [Crossref]

2005 (1)

J. Witzens , T. Baehr-Jones , and A. Scherer , “ Hybrid superprism with low insertion losses and suppressed crosstalk ,” Phys. Rev. E   71 , 026604 ( 2005 ).
[Crossref]

2004 (10)

A. I. Cabuz , E. Centeno , and D. Cassagne , “ Superprism effect in bidimensional rectangular photonic crystals ,” Appl. Phys. Lett.   84 , 2031 – 2033 ( 2004 ).
[Crossref]

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett   91 , 207401 ( 2004 ).
[Crossref]

A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
[Crossref]

C. Chen , G. Jin , S. Shi , A. Sharkawy , and D. W. Prather , “ A unidirectional photonic crystal dispersion-based emitter ,” Appl. Phys. Lett.   84 , 3151 – 3153 ( 2004 ).
[Crossref]

T. Fukazawa , F. Ohno , and T. Baba , “ Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides ,” Jpn. J. Appl. Phys.   43 , L673 – L675 ( 2004 ).
[Crossref]

J. J. Baumberg , N. M. B. Perney , M. C. Netti , M. D. C. Charlton , M. Zoorob , and G. J. Parker , “ Visible-wavelength super-refraction in photonic crystal superprisms ,” Appl. Phys. Lett.   85 , 354 – 356 ( 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]

T. Baba , T. Matsumoto , and M. Echizen , “ Finite difference time domain study of high efficiency photonic crystal superprisms ,” Opt. Express   12 , 4608 – 4613 ( 2004 ), www.opticsexpress.org/abstract.cfm?URI=OPEX-12-19-4608.
[Crossref] [PubMed]

A. Husakou and J. Herrmann , “ Superfocusing of light below the diffraction limit by photonic crystals with negative refraction ,” Opt. Express   12 , 6491 – 6497 ( 2004 ), www.opticsexpress.org/abstract.cfm?URI=OPEX-12-26-6491.
[Crossref] [PubMed]

2003 (6)

X. Yu and S. Fan , “ Bends and splitters for self-collimated beams in photonic crystals ,” Appl. Phys. Lett.   83 , 3251 – 3253 ( 2003 ).
[Crossref]

C. Luo , S. G. Johnson , J. D. Joannopoulos , and J. B. Pendry , “ Subwavelength imaging in photonic crystals ,” Phys. Rev. B   68 , 045115 ( 2003 ).
[Crossref]

T. Prasad , V. Colvin , and D. Mittleman , “ Superprism phenomenon in three-dimensional macroporous polymer photonic crystals ,” Phys Rev. B   67 , 165103 ( 2003 ).
[Crossref]

B. Momeni and A. Adibi , “ Optimization of photonic crystal demultiplexers based on the superprism effect ,” Appl. Phys. B   77 , 555 – 560 ( 2003 ).
[Crossref]

D. Scrymgeour , N. Malkova , S. Kim , and V. Gopalan , “ Electro-optic control of the superprism effect in photonic crystals ,” Appl. Phys. Lett.   82 , 3176 – 3178 ( 2003 ).
[Crossref]

A. V. Zayats and W. Dickson “ Polarization superprism effect in surface polaritonic crystals ,” Appl. Phys. Lett.   82 , 4438 – 4440 ( 2003 ).
[Crossref]

2002 (5)

T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
[Crossref]

L. Wu , M. Mazilu , T. Karle , and T. F. Krauss , “ Superprism phenomena in planar photonic crystal ,” IEEE. J. Quantum. Elecron.   38 , 915 – 918 ( 2002 ).
[Crossref]

K. B. Chung and S. W. Hong , “ Wavelength demultiplexers based on the superprism phenomena in photonic crystals ,” Appl. Phys. Lett.   81 , 1549 – 1551 ( 2002 ).
[Crossref]

T. Baba and T. Matsumoto , “ Resolution of photonic crystal superprism ,” Appl. Phys. Lett.   81 , 2325 – 2327 ( 2002 ).
[Crossref]

J. Witzens , M. Loncar , and A. Scherer , “ Self-collimation in planar photonic crystals ,” IEEE J. Select. Topics Quantum Electon.   8 , 1246 – 1257 ( 2002 ).
[Crossref]

2001 (2)

T. Baba and D. Ohsaki , “ Interfaces of photonic crystals for high efficiency light transmission ,” Jpn. J. Appl. Phys.   40 , 5920 – 5924 ( 2001 ).
[Crossref]

T. Ochiai and J. Sanchez-Dehesa , “ Superprism effect in opal-based photonic crystals ,” Phys. Rev. B   64 , 245113 ( 2001 ).
[Crossref]

2000 (1)

M. Notomi , “ Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap ,” Phys. Rev. B   62 , 10696 – 10705 ( 2000 ).
[Crossref]

1999 (1)

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

1998 (1)

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]

Adibi, A.

B. Momeni and A. Adibi , “ Optimization of photonic crystal demultiplexers based on the superprism effect ,” Appl. Phys. B   77 , 555 – 560 ( 2003 ).
[Crossref]

Anand, S.

A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
[Crossref]

Aydin, K.

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett   91 , 207401 ( 2004 ).
[Crossref]

Baba, T.

T. Fukazawa , F. Ohno , and T. Baba , “ Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides ,” Jpn. J. Appl. Phys.   43 , L673 – L675 ( 2004 ).
[Crossref]

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

T. Baba , T. Matsumoto , and M. Echizen , “ Finite difference time domain study of high efficiency photonic crystal superprisms ,” Opt. Express   12 , 4608 – 4613 ( 2004 ), www.opticsexpress.org/abstract.cfm?URI=OPEX-12-19-4608.
[Crossref] [PubMed]

T. Baba and T. Matsumoto , “ Resolution of photonic crystal superprism ,” Appl. Phys. Lett.   81 , 2325 – 2327 ( 2002 ).
[Crossref]

T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
[Crossref]

T. Baba and D. Ohsaki , “ Interfaces of photonic crystals for high efficiency light transmission ,” Jpn. J. Appl. Phys.   40 , 5920 – 5924 ( 2001 ).
[Crossref]

Baehr-Jones, T.

J. Witzens , T. Baehr-Jones , and A. Scherer , “ Hybrid superprism with low insertion losses and suppressed crosstalk ,” Phys. Rev. E   71 , 026604 ( 2005 ).
[Crossref]

Baumberg, J. J.

J. J. Baumberg , N. M. B. Perney , M. C. Netti , M. D. C. Charlton , M. Zoorob , and G. J. Parker , “ Visible-wavelength super-refraction in photonic crystal superprisms ,” Appl. Phys. Lett.   85 , 354 – 356 ( 2004 ).
[Crossref]

Berrier, A.

A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
[Crossref]

Birks, T. B.

P. P. St. J. Russell and T. B. Birks , “ Bloch wave optics in photonic crystals: physics and applications ,” Photonic band gap materials, C. M. Soukoulis , ed. (Kluwer 1996 ), pp. 71 – 91 .

Cabuz, A. I.

A. I. Cabuz , E. Centeno , and D. Cassagne , “ Superprism effect in bidimensional rectangular photonic crystals ,” Appl. Phys. Lett.   84 , 2031 – 2033 ( 2004 ).
[Crossref]

Cassagne, D.

A. I. Cabuz , E. Centeno , and D. Cassagne , “ Superprism effect in bidimensional rectangular photonic crystals ,” Appl. Phys. Lett.   84 , 2031 – 2033 ( 2004 ).
[Crossref]

Centeno, E.

A. I. Cabuz , E. Centeno , and D. Cassagne , “ Superprism effect in bidimensional rectangular photonic crystals ,” Appl. Phys. Lett.   84 , 2031 – 2033 ( 2004 ).
[Crossref]

Charlton, M. D. C.

J. J. Baumberg , N. M. B. Perney , M. C. Netti , M. D. C. Charlton , M. Zoorob , and G. J. Parker , “ Visible-wavelength super-refraction in photonic crystal superprisms ,” Appl. Phys. Lett.   85 , 354 – 356 ( 2004 ).
[Crossref]

Chen, C.

C. Chen , G. Jin , S. Shi , A. Sharkawy , and D. W. Prather , “ A unidirectional photonic crystal dispersion-based emitter ,” Appl. Phys. Lett.   84 , 3151 – 3153 ( 2004 ).
[Crossref]

Chung, K. B.

K. B. Chung and S. W. Hong , “ Wavelength demultiplexers based on the superprism phenomena in photonic crystals ,” Appl. Phys. Lett.   81 , 1549 – 1551 ( 2002 ).
[Crossref]

Colvin, V.

T. Prasad , V. Colvin , and D. Mittleman , “ Superprism phenomenon in three-dimensional macroporous polymer photonic crystals ,” Phys Rev. B   67 , 165103 ( 2003 ).
[Crossref]

Cubukcu, E.

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett   91 , 207401 ( 2004 ).
[Crossref]

Dickson, W.

A. V. Zayats and W. Dickson “ Polarization superprism effect in surface polaritonic crystals ,” Appl. Phys. Lett.   82 , 4438 – 4440 ( 2003 ).
[Crossref]

Echizen, M.

Fan, S.

X. Yu and S. Fan , “ Bends and splitters for self-collimated beams in photonic crystals ,” Appl. Phys. Lett.   83 , 3251 – 3253 ( 2003 ).
[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.   43 , L673 – L675 ( 2004 ).
[Crossref]

Gopalan, V.

D. Scrymgeour , N. Malkova , S. Kim , and V. Gopalan , “ Electro-optic control of the superprism effect in photonic crystals ,” Appl. Phys. Lett.   82 , 3176 – 3178 ( 2003 ).
[Crossref]

Herrmann, J.

Hong, S. W.

K. B. Chung and S. W. Hong , “ Wavelength demultiplexers based on the superprism phenomena in photonic crystals ,” Appl. Phys. Lett.   81 , 1549 – 1551 ( 2002 ).
[Crossref]

Husakou, A.

Jin, G.

C. Chen , G. Jin , S. Shi , A. Sharkawy , and D. W. Prather , “ A unidirectional photonic crystal dispersion-based emitter ,” Appl. Phys. Lett.   84 , 3151 – 3153 ( 2004 ).
[Crossref]

Joannopoulos, J. D.

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

C. Luo , S. G. Johnson , J. D. Joannopoulos , and J. B. Pendry , “ Subwavelength imaging in photonic crystals ,” Phys. Rev. B   68 , 045115 ( 2003 ).
[Crossref]

Johnson, S. G.

C. Luo , S. G. Johnson , J. D. Joannopoulos , and J. B. Pendry , “ Subwavelength imaging in photonic crystals ,” Phys. Rev. B   68 , 045115 ( 2003 ).
[Crossref]

Karle, T.

L. Wu , M. Mazilu , T. Karle , and T. F. Krauss , “ Superprism phenomena in planar photonic crystal ,” IEEE. J. Quantum. Elecron.   38 , 915 – 918 ( 2002 ).
[Crossref]

Kawakami, S.

H. Kosaka , T. Kawashima , A. Tomita , M. Notomi , T. Tamamura , T. Sato , and S. Kawakami , “ Self-collimating phenomena in photonic crystal ,” Appl. Phys. Lett.   74 , 1212 – 1214 ( 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]

Kawashima, T.

H. Kosaka , T. Kawashima , A. Tomita , M. Notomi , T. Tamamura , T. Sato , and S. Kawakami , “ Self-collimating phenomena in photonic crystal ,” Appl. Phys. Lett.   74 , 1212 – 1214 ( 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]

Kim, S.

D. Scrymgeour , N. Malkova , S. Kim , and V. Gopalan , “ Electro-optic control of the superprism effect in photonic crystals ,” Appl. Phys. Lett.   82 , 3176 – 3178 ( 2003 ).
[Crossref]

Kosaka, H.

H. Kosaka , T. Kawashima , A. Tomita , M. Notomi , T. Tamamura , T. Sato , and S. Kawakami , “ Self-collimating phenomena in photonic crystal ,” Appl. Phys. Lett.   74 , 1212 – 1214 ( 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]

Krauss, T. F.

L. Wu , M. Mazilu , T. Karle , and T. F. Krauss , “ Superprism phenomena in planar photonic crystal ,” IEEE. J. Quantum. Elecron.   38 , 915 – 918 ( 2002 ).
[Crossref]

Loncar, M.

J. Witzens , M. Loncar , and A. Scherer , “ Self-collimation in planar photonic crystals ,” IEEE J. Select. Topics Quantum Electon.   8 , 1246 – 1257 ( 2002 ).
[Crossref]

Luo, C.

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

C. Luo , S. G. Johnson , J. D. Joannopoulos , and J. B. Pendry , “ Subwavelength imaging in photonic crystals ,” Phys. Rev. B   68 , 045115 ( 2003 ).
[Crossref]

Malkova, N.

D. Scrymgeour , N. Malkova , S. Kim , and V. Gopalan , “ Electro-optic control of the superprism effect in photonic crystals ,” Appl. Phys. Lett.   82 , 3176 – 3178 ( 2003 ).
[Crossref]

Matsumoto, T.

Mazilu, M.

L. Wu , M. Mazilu , T. Karle , and T. F. Krauss , “ Superprism phenomena in planar photonic crystal ,” IEEE. J. Quantum. Elecron.   38 , 915 – 918 ( 2002 ).
[Crossref]

Mittleman, D.

T. Prasad , V. Colvin , and D. Mittleman , “ Superprism phenomenon in three-dimensional macroporous polymer photonic crystals ,” Phys Rev. B   67 , 165103 ( 2003 ).
[Crossref]

Momeni, B.

B. Momeni and A. Adibi , “ Optimization of photonic crystal demultiplexers based on the superprism effect ,” Appl. Phys. B   77 , 555 – 560 ( 2003 ).
[Crossref]

Mulot, M.

A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
[Crossref]

Nakamura, M.

T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
[Crossref]

Netti, M. C.

J. J. Baumberg , N. M. B. Perney , M. C. Netti , M. D. C. Charlton , M. Zoorob , and G. J. Parker , “ Visible-wavelength super-refraction in photonic crystal superprisms ,” Appl. Phys. Lett.   85 , 354 – 356 ( 2004 ).
[Crossref]

Notomi, M.

M. Notomi , “ Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap ,” Phys. Rev. B   62 , 10696 – 10705 ( 2000 ).
[Crossref]

H. Kosaka , T. Kawashima , A. Tomita , M. Notomi , T. Tamamura , T. Sato , and S. Kawakami , “ Self-collimating phenomena in photonic crystal ,” Appl. Phys. Lett.   74 , 1212 – 1214 ( 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]

Ochiai, T.

T. Ochiai and J. Sanchez-Dehesa , “ Superprism effect in opal-based photonic crystals ,” Phys. Rev. B   64 , 245113 ( 2001 ).
[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.   43 , L673 – L675 ( 2004 ).
[Crossref]

Ohsaki, D.

T. Baba and D. Ohsaki , “ Interfaces of photonic crystals for high efficiency light transmission ,” Jpn. J. Appl. Phys.   40 , 5920 – 5924 ( 2001 ).
[Crossref]

Ozbay, E.

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett   91 , 207401 ( 2004 ).
[Crossref]

Parker, G. J.

J. J. Baumberg , N. M. B. Perney , M. C. Netti , M. D. C. Charlton , M. Zoorob , and G. J. Parker , “ Visible-wavelength super-refraction in photonic crystal superprisms ,” Appl. Phys. Lett.   85 , 354 – 356 ( 2004 ).
[Crossref]

Pendry, J. B.

C. Luo , S. G. Johnson , J. D. Joannopoulos , and J. B. Pendry , “ Subwavelength imaging in photonic crystals ,” Phys. Rev. B   68 , 045115 ( 2003 ).
[Crossref]

Perney, N. M. B.

J. J. Baumberg , N. M. B. Perney , M. C. Netti , M. D. C. Charlton , M. Zoorob , and G. J. Parker , “ Visible-wavelength super-refraction in photonic crystal superprisms ,” Appl. Phys. Lett.   85 , 354 – 356 ( 2004 ).
[Crossref]

Prasad, T.

T. Prasad , V. Colvin , and D. Mittleman , “ Superprism phenomenon in three-dimensional macroporous polymer photonic crystals ,” Phys Rev. B   67 , 165103 ( 2003 ).
[Crossref]

Prather, D. W.

C. Chen , G. Jin , S. Shi , A. Sharkawy , and D. W. Prather , “ A unidirectional photonic crystal dispersion-based emitter ,” Appl. Phys. Lett.   84 , 3151 – 3153 ( 2004 ).
[Crossref]

Qiu, M.

A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
[Crossref]

Russell, P. P. St. J.

P. P. St. J. Russell and T. B. Birks , “ Bloch wave optics in photonic crystals: physics and applications ,” Photonic band gap materials, C. M. Soukoulis , ed. (Kluwer 1996 ), pp. 71 – 91 .

Sanchez-Dehesa, J.

T. Ochiai and J. Sanchez-Dehesa , “ Superprism effect in opal-based photonic crystals ,” Phys. Rev. B   64 , 245113 ( 2001 ).
[Crossref]

Sato, T.

H. Kosaka , T. Kawashima , A. Tomita , M. Notomi , T. Tamamura , T. Sato , and S. Kawakami , “ Self-collimating phenomena in photonic crystal ,” Appl. Phys. Lett.   74 , 1212 – 1214 ( 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]

Scherer, A.

J. Witzens , T. Baehr-Jones , and A. Scherer , “ Hybrid superprism with low insertion losses and suppressed crosstalk ,” Phys. Rev. E   71 , 026604 ( 2005 ).
[Crossref]

J. Witzens , M. Loncar , and A. Scherer , “ Self-collimation in planar photonic crystals ,” IEEE J. Select. Topics Quantum Electon.   8 , 1246 – 1257 ( 2002 ).
[Crossref]

Scrymgeour, D.

D. Scrymgeour , N. Malkova , S. Kim , and V. Gopalan , “ Electro-optic control of the superprism effect in photonic crystals ,” Appl. Phys. Lett.   82 , 3176 – 3178 ( 2003 ).
[Crossref]

Sharkawy, A.

C. Chen , G. Jin , S. Shi , A. Sharkawy , and D. W. Prather , “ A unidirectional photonic crystal dispersion-based emitter ,” Appl. Phys. Lett.   84 , 3151 – 3153 ( 2004 ).
[Crossref]

Shi, S.

C. Chen , G. Jin , S. Shi , A. Sharkawy , and D. W. Prather , “ A unidirectional photonic crystal dispersion-based emitter ,” Appl. Phys. Lett.   84 , 3151 – 3153 ( 2004 ).
[Crossref]

Soljacic, M.

Swillo, M.

A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
[Crossref]

Talneau, A.

A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
[Crossref]

Tamamura, T.

H. Kosaka , T. Kawashima , A. Tomita , M. Notomi , T. Tamamura , T. Sato , and S. Kawakami , “ Self-collimating phenomena in photonic crystal ,” Appl. Phys. Lett.   74 , 1212 – 1214 ( 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]

Thylen, L.

A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
[Crossref]

Tomita, A.

H. Kosaka , T. Kawashima , A. Tomita , M. Notomi , T. Tamamura , T. Sato , and S. Kawakami , “ Self-collimating phenomena in photonic crystal ,” Appl. Phys. Lett.   74 , 1212 – 1214 ( 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]

Witzens, J.

J. Witzens , T. Baehr-Jones , and A. Scherer , “ Hybrid superprism with low insertion losses and suppressed crosstalk ,” Phys. Rev. E   71 , 026604 ( 2005 ).
[Crossref]

J. Witzens , M. Loncar , and A. Scherer , “ Self-collimation in planar photonic crystals ,” IEEE J. Select. Topics Quantum Electon.   8 , 1246 – 1257 ( 2002 ).
[Crossref]

Wu, L.

L. Wu , M. Mazilu , T. Karle , and T. F. Krauss , “ Superprism phenomena in planar photonic crystal ,” IEEE. J. Quantum. Elecron.   38 , 915 – 918 ( 2002 ).
[Crossref]

Yu, X.

X. Yu and S. Fan , “ Bends and splitters for self-collimated beams in photonic crystals ,” Appl. Phys. Lett.   83 , 3251 – 3253 ( 2003 ).
[Crossref]

Zayats, A. V.

A. V. Zayats and W. Dickson “ Polarization superprism effect in surface polaritonic crystals ,” Appl. Phys. Lett.   82 , 4438 – 4440 ( 2003 ).
[Crossref]

Zoorob, M.

J. J. Baumberg , N. M. B. Perney , M. C. Netti , M. D. C. Charlton , M. Zoorob , and G. J. Parker , “ Visible-wavelength super-refraction in photonic crystal superprisms ,” Appl. Phys. Lett.   85 , 354 – 356 ( 2004 ).
[Crossref]

Appl. Phys. B (1)

B. Momeni and A. Adibi , “ Optimization of photonic crystal demultiplexers based on the superprism effect ,” Appl. Phys. B   77 , 555 – 560 ( 2003 ).
[Crossref]

Appl. Phys. Lett. (9)

D. Scrymgeour , N. Malkova , S. Kim , and V. Gopalan , “ Electro-optic control of the superprism effect in photonic crystals ,” Appl. Phys. Lett.   82 , 3176 – 3178 ( 2003 ).
[Crossref]

A. V. Zayats and W. Dickson “ Polarization superprism effect in surface polaritonic crystals ,” Appl. Phys. Lett.   82 , 4438 – 4440 ( 2003 ).
[Crossref]

A. I. Cabuz , E. Centeno , and D. Cassagne , “ Superprism effect in bidimensional rectangular photonic crystals ,” Appl. Phys. Lett.   84 , 2031 – 2033 ( 2004 ).
[Crossref]

K. B. Chung and S. W. Hong , “ Wavelength demultiplexers based on the superprism phenomena in photonic crystals ,” Appl. Phys. Lett.   81 , 1549 – 1551 ( 2002 ).
[Crossref]

T. Baba and T. Matsumoto , “ Resolution of photonic crystal superprism ,” Appl. Phys. Lett.   81 , 2325 – 2327 ( 2002 ).
[Crossref]

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

X. Yu and S. Fan , “ Bends and splitters for self-collimated beams in photonic crystals ,” Appl. Phys. Lett.   83 , 3251 – 3253 ( 2003 ).
[Crossref]

C. Chen , G. Jin , S. Shi , A. Sharkawy , and D. W. Prather , “ A unidirectional photonic crystal dispersion-based emitter ,” Appl. Phys. Lett.   84 , 3151 – 3153 ( 2004 ).
[Crossref]

J. J. Baumberg , N. M. B. Perney , M. C. Netti , M. D. C. Charlton , M. Zoorob , and G. J. Parker , “ Visible-wavelength super-refraction in photonic crystal superprisms ,” Appl. Phys. Lett.   85 , 354 – 356 ( 2004 ).
[Crossref]

IEEE J. Quantum Electron. (1)

T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
[Crossref]

IEEE J. Select. Topics Quantum Electon. (1)

J. Witzens , M. Loncar , and A. Scherer , “ Self-collimation in planar photonic crystals ,” IEEE J. Select. Topics Quantum Electon.   8 , 1246 – 1257 ( 2002 ).
[Crossref]

IEEE. J. Quantum. Elecron. (1)

L. Wu , M. Mazilu , T. Karle , and T. F. Krauss , “ Superprism phenomena in planar photonic crystal ,” IEEE. J. Quantum. Elecron.   38 , 915 – 918 ( 2002 ).
[Crossref]

J. Lightwave Technol. (1)

Jpn. J. Appl. Phys. (2)

T. Baba and D. Ohsaki , “ Interfaces of photonic crystals for high efficiency light transmission ,” Jpn. J. Appl. Phys.   40 , 5920 – 5924 ( 2001 ).
[Crossref]

T. Fukazawa , F. Ohno , and T. Baba , “ Very compact arrayed-waveguide-grating demultiplexer using Si photonic wire waveguides ,” Jpn. J. Appl. Phys.   43 , L673 – L675 ( 2004 ).
[Crossref]

Opt. Express (2)

Opt. Lett. (1)

Phys Rev. B (1)

T. Prasad , V. Colvin , and D. Mittleman , “ Superprism phenomenon in three-dimensional macroporous polymer photonic crystals ,” Phys Rev. B   67 , 165103 ( 2003 ).
[Crossref]

Phys. Rev. B (4)

C. Luo , S. G. Johnson , J. D. Joannopoulos , and J. B. Pendry , “ Subwavelength imaging in photonic crystals ,” Phys. Rev. B   68 , 045115 ( 2003 ).
[Crossref]

M. Notomi , “ Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap ,” Phys. Rev. B   62 , 10696 – 10705 ( 2000 ).
[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]

T. Ochiai and J. Sanchez-Dehesa , “ Superprism effect in opal-based photonic crystals ,” Phys. Rev. B   64 , 245113 ( 2001 ).
[Crossref]

Phys. Rev. E (1)

J. Witzens , T. Baehr-Jones , and A. Scherer , “ Hybrid superprism with low insertion losses and suppressed crosstalk ,” Phys. Rev. E   71 , 026604 ( 2005 ).
[Crossref]

Phys. Rev. Lett (1)

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett   91 , 207401 ( 2004 ).
[Crossref]

Phys. Rev. Lett. (1)

A. Berrier , M. Mulot , M. Swillo , M. Qiu , L. Thylen , A. Talneau , and S. Anand , “ Negative refraction at infrared wavelengths in a two-dimensional photonic crystal ,” Phys. Rev. Lett.   93 , 073920 ( 2004 ).
[Crossref]

Other (1)

P. P. St. J. Russell and T. B. Birks , “ Bloch wave optics in photonic crystals: physics and applications ,” Photonic band gap materials, C. M. Soukoulis , ed. (Kluwer 1996 ), pp. 71 – 91 .

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Figures (8)

Fig. 1.
Fig. 1.

Schematic of the wavelength demultiplexer consisting of the superprism and focusing lens. (a) Superprism and refractive lens. (b) Superprism and superlens.

Fig. 2.
Fig. 2.

Calculation model (left) and dispersion surface (right) of the superprism. Black region in the dispersion surface shows the air light cone. In the magnified fig., vertical lines are equi-incident-angle curves and gray lines are equi-frequency curves.

Fig. 3.
Fig. 3.

Shaded drawings of two characteristic parameters for the dispersion surface of Fig. 2. (a) Wavelength sensitivity parameter q. (b) Beam collimation parameter 1/p.

Fig. 4.
Fig. 4.

Simulated intensity distribution of light propagation in the superprism with optimized I/O ends.

Fig. 5.
Fig. 5.

Calculation model (left) and dispersion surface (right) of the superlens. Black region shows the air light cone. In the magnified fig., gray lines are equi-frequency curves. The thick one is for a 1/λ = 0.306.

Fig. 6.
Fig. 6.

Light propagation and focused spot profiles simulated in the superlens with optimized input end. Four different 2w 0 are assumed. Disordered pattern between the excitation point and the input end of the superlens is caused by the reflected wave.

Fig. 7.
Fig. 7.

Calculated light intensity distribution in the wavelength demultiplexer. (a) Total view. (b) Magnified view of the square region in (a).

Fig. 8.
Fig. 8.

Performance of the demultiplexer. (a) Normalized wavelength resolution estimated with wavelength sensitivity parameter q. (b) Device area estimated with the normalized frequency.

Equations (4)

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

Δλ / λ = ( 2 w / qL ) ( a / λ ) cos 2 θ p
2 w = α [ cos Δ θ k / cos Δ θ in ] 2 w 0 α ( 2 w 0 )
A L 2 tan ( θ p + p Δ θ in ) + { tan ( θ p + p Δ θ in ) tan ( θ p p Δ θ in ) } 2 L 2 Δ θ in / 2
+ { tan ( θ p + p Δ θ in ) tan ( θ p p Δ θ in ) } 2 L 2 / 2 tan Δ θ l

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