Abstract

A two-dimensional photonic crystal (PhC) super-prism integrated with one-dimensional photonic crystal microcavity filters has been designed using the plane wave expansion (PWE) and 2-D Finite Difference Time Domain (FDTD) methods based on Silicon-on-Insulator (SOI) technology. The super-prism operates as a coarse spatial filter with an average response bandwidth of 60 nm, while the 1-D PhC microcavity filters operate as narrow band-pass transmission filters with an average filter response line-width of 10 nm. This work demonstrates the simultaneous operation of two photonic devices for de-multiplexing applications on a single platform that could be useful in future Photonic Crystal Integrated Circuits (PCICs).

© 2006 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
  3. B. Momeni and A. Adibi, "Optimization of photonic crystal demultiplexers based on the superprism effect," Appl. Phys. B 77, 555-560 (2003).
    [CrossRef]
  4. L. Wu, M. Mazilu, J. -F. Gallet and T. F. Krauss, "Square lattice photonic-crystal collimator," Photonics and Nanostructures - Fundamentals and Applications, 31-36 (2003).
  5. 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]
  6. L. Wu, M. Mazilu, T. Karle and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Opt. 38, 915-918 (2002).
  7. 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]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  11. L. Wu, M. Mazilu, J.-F. Gallet and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys Lett. 86, 211106 (2005).
    [CrossRef]
  12. A. S. Jugessur, P. Pottier and R. M. De La Rue, "One dimensional periodic photonic crystals microcavity filters with transition mode-matching features, embedded in ridge waveguides," Electron. Lett. 39, 367-368 (2003).
    [CrossRef]
  13. A. S. Jugessur, P. Pottier, and R. M. De La Rue, "Engineering the filter response of photonic crystals microcavity filters," Opt. Express 12, 1304-1312 (2004).
    [CrossRef] [PubMed]
  14. T. Baba and D. Ohsaki, "Interfaces of photonic crystals for high efficiency light transmission," Jpn. J.Appl. Phys. 40, 5920-5924 (2001).
    [CrossRef]
  15. J. Witzens, M. Hochberg, T. Baehr-Jones and A. Scherer, "Mode-matching interface for efficient coupling of light into planar photonic crystals," Phys. Rev. E 69, 046609 (2004).
    [CrossRef]

2005 (1)

L. Wu, M. Mazilu, J.-F. Gallet and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys Lett. 86, 211106 (2005).
[CrossRef]

2004 (4)

2003 (4)

B. Song, S. Noda and T. Asano, "Photonic Devices Based on In-plane Hetero Photonic Crystals," Science 300, 1537 (2003).
[CrossRef] [PubMed]

B. Momeni and A. Adibi, "Optimization of photonic crystal demultiplexers based on the superprism effect," Appl. Phys. B 77, 555-560 (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]

A. S. Jugessur, P. Pottier and R. M. De La Rue, "One dimensional periodic photonic crystals microcavity filters with transition mode-matching features, embedded in ridge waveguides," Electron. Lett. 39, 367-368 (2003).
[CrossRef]

2002 (1)

L. Wu, M. Mazilu, T. Karle and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Opt. 38, 915-918 (2002).

2001 (2)

A. Sharkawy, S. Shi and D. W. Prather, "Multichannel wavelength division multiplexing with photonic crystals," Appl. Opt. 40, 2247-2252 (2001).
[CrossRef]

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

1998 (1)

H. Hosaka, 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]

1996 (1)

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]

Asano, T.

B. Song, S. Noda and T. Asano, "Photonic Devices Based on In-plane Hetero Photonic Crystals," Science 300, 1537 (2003).
[CrossRef] [PubMed]

Baba, T.

T. Matsumoto and T. Baba, "Photonic Crystal k-Vector Superprism," J. Lightwave Technol. 22, 917-922 (2004).
[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, M. Hochberg, T. Baehr-Jones and A. Scherer, "Mode-matching interface for efficient coupling of light into planar photonic crystals," Phys. Rev. E 69, 046609 (2004).
[CrossRef]

De La Rue, R. M.

Gallet, J.-F.

L. Wu, M. Mazilu, J.-F. Gallet and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys Lett. 86, 211106 (2005).
[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]

Hietala, V. M.

Hochberg, M.

J. Witzens, M. Hochberg, T. Baehr-Jones and A. Scherer, "Mode-matching interface for efficient coupling of light into planar photonic crystals," Phys. Rev. E 69, 046609 (2004).
[CrossRef]

Hosaka, H.

H. Hosaka, 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]

Jones, E. D.

Jugessur, A.

Jugessur, A. S.

A. S. Jugessur, P. Pottier, and R. M. De La Rue, "Engineering the filter response of photonic crystals microcavity filters," Opt. Express 12, 1304-1312 (2004).
[CrossRef] [PubMed]

A. S. Jugessur, P. Pottier and R. M. De La Rue, "One dimensional periodic photonic crystals microcavity filters with transition mode-matching features, embedded in ridge waveguides," Electron. Lett. 39, 367-368 (2003).
[CrossRef]

Karle, T.

L. Wu, M. Mazilu, T. Karle and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Opt. 38, 915-918 (2002).

Kawakami, S.

H. Hosaka, 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. Hosaka, 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]

Krauss, T. F.

L. Wu, M. Mazilu, J.-F. Gallet and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys Lett. 86, 211106 (2005).
[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]

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]

L. Wu, M. Mazilu, T. Karle and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Opt. 38, 915-918 (2002).

Lin, S. Y.

Matsumoto, T.

Mazilu, M.

L. Wu, M. Mazilu, J.-F. Gallet and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys Lett. 86, 211106 (2005).
[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]

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]

L. Wu, M. Mazilu, T. Karle and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Opt. 38, 915-918 (2002).

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]

Noda, S.

B. Song, S. Noda and T. Asano, "Photonic Devices Based on In-plane Hetero Photonic Crystals," Science 300, 1537 (2003).
[CrossRef] [PubMed]

Notomi, M.

H. Hosaka, 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]

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]

Pottier, P.

A. S. Jugessur, P. Pottier, and R. M. De La Rue, "Engineering the filter response of photonic crystals microcavity filters," Opt. Express 12, 1304-1312 (2004).
[CrossRef] [PubMed]

A. S. Jugessur, P. Pottier and R. M. De La Rue, "One dimensional periodic photonic crystals microcavity filters with transition mode-matching features, embedded in ridge waveguides," Electron. Lett. 39, 367-368 (2003).
[CrossRef]

Prather, D. W.

Sato, T.

H. Hosaka, 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, M. Hochberg, T. Baehr-Jones and A. Scherer, "Mode-matching interface for efficient coupling of light into planar photonic crystals," Phys. Rev. E 69, 046609 (2004).
[CrossRef]

Sharkawy, A.

Shi, S.

Song, B.

B. Song, S. Noda and T. Asano, "Photonic Devices Based on In-plane Hetero Photonic Crystals," Science 300, 1537 (2003).
[CrossRef] [PubMed]

Tamamura, T.

H. Hosaka, 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. Hosaka, 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]

Wang, L.

Witzens, J.

J. Witzens, M. Hochberg, T. Baehr-Jones and A. Scherer, "Mode-matching interface for efficient coupling of light into planar photonic crystals," Phys. Rev. E 69, 046609 (2004).
[CrossRef]

Wu, L.

L. Wu, M. Mazilu, J.-F. Gallet and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys Lett. 86, 211106 (2005).
[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]

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]

L. Wu, M. Mazilu, T. Karle and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Opt. 38, 915-918 (2002).

Appl. Opt. (1)

Appl. Phys Lett. (1)

L. Wu, M. Mazilu, J.-F. Gallet and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys Lett. 86, 211106 (2005).
[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]

Electron. Lett. (1)

A. S. Jugessur, P. Pottier and R. M. De La Rue, "One dimensional periodic photonic crystals microcavity filters with transition mode-matching features, embedded in ridge waveguides," Electron. Lett. 39, 367-368 (2003).
[CrossRef]

IEEE J. Quantum Opt. (1)

L. Wu, M. Mazilu, T. Karle and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Opt. 38, 915-918 (2002).

J. Lightwave Technol. (2)

Jpn. J.Appl. Phys. (1)

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

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. B (1)

H. Hosaka, 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, M. Hochberg, T. Baehr-Jones and A. Scherer, "Mode-matching interface for efficient coupling of light into planar photonic crystals," Phys. Rev. E 69, 046609 (2004).
[CrossRef]

Science (1)

B. Song, S. Noda and T. Asano, "Photonic Devices Based on In-plane Hetero Photonic Crystals," Science 300, 1537 (2003).
[CrossRef] [PubMed]

Other (1)

L. Wu, M. Mazilu, J. -F. Gallet and T. F. Krauss, "Square lattice photonic-crystal collimator," Photonics and Nanostructures - Fundamentals and Applications, 31-36 (2003).

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Figures (8)

Fig. 1.
Fig. 1.

Schematic (not to scale) of the combined photonic system of a 2-D PhC super-prism integrated with 1-D PhC filters.

Fig. 2.
Fig. 2.

The band edge map of the slab 2-D photonic crystal based on 3-D modelling and the best fit 2-D model.

Fig. 3.
Fig. 3.

Normalized equi-frequency band diagram near the band edge at the wavelength of interest (nz kz /k 0 and nx kx /k 0) (a) without rotation (b) with a rotation of 28°.

Fig. 4.
Fig. 4.

Steering angle versus wavelength based on 2-D best fit model when the PhC structure is rotated by 28°.

Fig. 5.
Fig. 5.

The beam deviation angle versus input waveguide width, using 2-D FDTD modelling, based on a 2-D best fit.

Fig. 6.
Fig. 6.

Transmission spectra of the 2-D PhC super-prism at the output waveguides.

Fig. 7.
Fig. 7.

Transmission band gap of a 1-D PhC filter showing a peak resonance at 1360 nm with a schematic of the device in the inset.

Fig. 8.
Fig. 8.

Transmission spectra of the combined photonic system of super-prism and filter.

Tables (1)

Tables Icon

Table 1. Parameters of 1-D PhC filters designed for specific wavelengths

Equations (6)

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E ( n slab , n hole ) = λ 1 λ 2 [ n x 2 D ( λ , n slab , n hole ) n x 3 D ( λ ) ] 2
n x 2 D ( λ , n slab , n hole ) = effective index at band-edge of 2-D model
n x 3 D ( λ ) = effective index at band-edge of 3-D model
n slab = 2.85 and n hole = 1.94
θ 1 ( min ) = tan 1 ( 1.2 2.51 ) 25 °
θ 1 = tan 1 ( 1.2 x 1.1 2.52 ) 28 °

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