Abstract

A golden spiral photonic crystal fiber (GS-PCF) design is presented in which air holes are arranged in a spiral pattern governed by the golden ratio, where the design has been inspired by the optimal arrangement of seeds found in nature. The birefringence and polarization properties of this fiber are analyzed using a vectorial finite-element method. The fiber that is investigated shows a large modal birefringence peak value of 0.016 at an operating wavelength of 1.55μm and exhibits highly tuneable dispersion with multiple zero dispersion wavelengths and also large normal dispersion. The GS-PCF design has identical circular air holes that potentially simplify fabrication. In light of its properties, the GS-PCF could have application as a highly birefringent fiber and in nonlinear optics, and moreover the 2D chiral nature of the pattern could yield exotic properties.

© 2008 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
    [CrossRef]
  2. M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
    [CrossRef]
  3. K. Suzuki, H. Kubota, S. Kawanishi, M. Tanaka, and M. Fujita, Opt. Express 9, 676 (2001).
    [CrossRef] [PubMed]
  4. D. Chen and L. Shen, IEEE Photon. Technol. Lett. 19, 185 (2007).
    [CrossRef]
  5. M. J. Steel and R. M. Osgood, Jr., Opt. Lett. 26, 229 (2001).
    [CrossRef]
  6. Y. Yue, G. Kai, Z. Wang, T. Sun, L. Jim, Y. Lu, C. Zhang, J. Liu, Y. Li, Y. Liu, S. Yuan, and X. Dong, Opt. Lett. 32, 469 (2007).
    [CrossRef] [PubMed]
  7. D. Chen and L. Shen, J. Lightwave Technol. 25, 2700 (2007).
    [CrossRef]
  8. Mesophotonics Limited, “Photonic crystal waveguide,” U.S. patent 6,775,448 (August 10, 2004).
  9. J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
    [CrossRef]
  10. L. P. Shen, W.-P. Huang, G. X. Chen, and S. S. Jian, IEEE Photon. Technol. Lett. 15, 540 (2003).
    [CrossRef]
  11. N. Kejalakshmy, B. M. A. Rahman, A. Agrawal, T. Wongcharoen, and K. T. V. Grattan, Appl. Phys. B 93, 223 (2008).
    [CrossRef]
  12. W. Zhang, A. Potts, A. Papakostas, and D. M. Bagnall, Appl. Phys. Lett. 86, 231905 (2005).
    [CrossRef]
  13. V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
    [CrossRef] [PubMed]

2008 (1)

N. Kejalakshmy, B. M. A. Rahman, A. Agrawal, T. Wongcharoen, and K. T. V. Grattan, Appl. Phys. B 93, 223 (2008).
[CrossRef]

2007 (3)

2006 (2)

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

2005 (2)

W. Zhang, A. Potts, A. Papakostas, and D. M. Bagnall, Appl. Phys. Lett. 86, 231905 (2005).
[CrossRef]

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

2003 (1)

L. P. Shen, W.-P. Huang, G. X. Chen, and S. S. Jian, IEEE Photon. Technol. Lett. 15, 540 (2003).
[CrossRef]

2001 (3)

K. Suzuki, H. Kubota, S. Kawanishi, M. Tanaka, and M. Fujita, Opt. Express 9, 676 (2001).
[CrossRef] [PubMed]

M. J. Steel and R. M. Osgood, Jr., Opt. Lett. 26, 229 (2001).
[CrossRef]

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Agrawal, A.

N. Kejalakshmy, B. M. A. Rahman, A. Agrawal, T. Wongcharoen, and K. T. V. Grattan, Appl. Phys. B 93, 223 (2008).
[CrossRef]

Antkowiak, M.

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

Bagnall, D. M.

W. Zhang, A. Potts, A. Papakostas, and D. M. Bagnall, Appl. Phys. Lett. 86, 231905 (2005).
[CrossRef]

Berghmans, F.

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

Bjarklev, A.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Broeng, J.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Chen, D.

D. Chen and L. Shen, IEEE Photon. Technol. Lett. 19, 185 (2007).
[CrossRef]

D. Chen and L. Shen, J. Lightwave Technol. 25, 2700 (2007).
[CrossRef]

Chen, G. X.

L. P. Shen, W.-P. Huang, G. X. Chen, and S. S. Jian, IEEE Photon. Technol. Lett. 15, 540 (2003).
[CrossRef]

Chen, Y.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Coen, S.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Dong, X.

Dudley, J. M.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Fedotov, V. A.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Fujita, M.

Genty, G.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Grattan, K. T. V.

N. Kejalakshmy, B. M. A. Rahman, A. Agrawal, T. Wongcharoen, and K. T. V. Grattan, Appl. Phys. B 93, 223 (2008).
[CrossRef]

Hansen, T. P.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Huang, W.-P.

L. P. Shen, W.-P. Huang, G. X. Chen, and S. S. Jian, IEEE Photon. Technol. Lett. 15, 540 (2003).
[CrossRef]

Jensen, J. R.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Jian, S. S.

L. P. Shen, W.-P. Huang, G. X. Chen, and S. S. Jian, IEEE Photon. Technol. Lett. 15, 540 (2003).
[CrossRef]

Jim, L.

Kai, G.

Kawanishi, S.

Kejalakshmy, N.

N. Kejalakshmy, B. M. A. Rahman, A. Agrawal, T. Wongcharoen, and K. T. V. Grattan, Appl. Phys. B 93, 223 (2008).
[CrossRef]

Knudsen, E.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Kotynski, R.

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

Kubota, H.

Lesiak, P.

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

Li, Y.

Libori, S. E. B.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Liu, J.

Liu, Y.

Lu, Y.

Mladyonov, P. L.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Nasilowski, T.

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

Osgood, R. M.

Papakostas, A.

W. Zhang, A. Potts, A. Papakostas, and D. M. Bagnall, Appl. Phys. Lett. 86, 231905 (2005).
[CrossRef]

Potts, A.

W. Zhang, A. Potts, A. Papakostas, and D. M. Bagnall, Appl. Phys. Lett. 86, 231905 (2005).
[CrossRef]

Prosvirnin, S. L.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Rahman, B. M. A.

N. Kejalakshmy, B. M. A. Rahman, A. Agrawal, T. Wongcharoen, and K. T. V. Grattan, Appl. Phys. B 93, 223 (2008).
[CrossRef]

Rogacheva, A. V.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Shen, L.

D. Chen and L. Shen, IEEE Photon. Technol. Lett. 19, 185 (2007).
[CrossRef]

D. Chen and L. Shen, J. Lightwave Technol. 25, 2700 (2007).
[CrossRef]

Shen, L. P.

L. P. Shen, W.-P. Huang, G. X. Chen, and S. S. Jian, IEEE Photon. Technol. Lett. 15, 540 (2003).
[CrossRef]

Simonsen, H.

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

Steel, M. J.

Sun, T.

Suzuki, K.

Tanaka, M.

Thienpont, H.

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

Urbanczyk, W.

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

Wang, Z.

Wojcik, J.

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

Wongcharoen, T.

N. Kejalakshmy, B. M. A. Rahman, A. Agrawal, T. Wongcharoen, and K. T. V. Grattan, Appl. Phys. B 93, 223 (2008).
[CrossRef]

Yuan, S.

Yue, Y.

Zhang, C.

Zhang, W.

W. Zhang, A. Potts, A. Papakostas, and D. M. Bagnall, Appl. Phys. Lett. 86, 231905 (2005).
[CrossRef]

Zheludev, N. I.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Appl. Phys. B (1)

N. Kejalakshmy, B. M. A. Rahman, A. Agrawal, T. Wongcharoen, and K. T. V. Grattan, Appl. Phys. B 93, 223 (2008).
[CrossRef]

Appl. Phys. Lett. (1)

W. Zhang, A. Potts, A. Papakostas, and D. M. Bagnall, Appl. Phys. Lett. 86, 231905 (2005).
[CrossRef]

IEEE Photon. Technol. Lett. (3)

T. P. Hansen, J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, IEEE Photon. Technol. Lett. 13, 588 (2001).
[CrossRef]

D. Chen and L. Shen, IEEE Photon. Technol. Lett. 19, 185 (2007).
[CrossRef]

L. P. Shen, W.-P. Huang, G. X. Chen, and S. S. Jian, IEEE Photon. Technol. Lett. 15, 540 (2003).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. A (1)

M. Antkowiak, R. Kotynski, T. Nasilowski, P. Lesiak, J. Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, J. Opt. A 7, 763 (2005).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. Lett. (1)

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Other (1)

Mesophotonics Limited, “Photonic crystal waveguide,” U.S. patent 6,775,448 (August 10, 2004).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Distribution of air holes in the GS-PCF.

Fig. 2
Fig. 2

Change in birefringence with the number of the air holes.

Fig. 3
Fig. 3

Birefringence as a function of wavelength for fixed spiral radius and changing air-hole radius.

Fig. 4
Fig. 4

Dispersion variation of the two orthogonal polarizations with wavelength.

Fig. 5
Fig. 5

Dispersion as a function of wavelength for an air-filling fraction 0.8.

Metrics