Abstract

By using a multipole moment approach, we analyze the loss of an air-core photonic crystal fiber and demonstrate that it is possible reduce the transmission loss that is due to photon radiation leakage through the photonic crystal cladding to a level below 0.01 dB/km, with eight rings of air holes. An analogy is drawn between air-core photonic crystal fiber modes and Bragg fiber modes. The influence of material absorption in the silica glass is discussed.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. Yeh, A. Yariv, and E. Marom, J. Opt. Soc. Am. 68, 1196 (1978).
  2. R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
    [CrossRef] [PubMed]
  3. J. Broeng, S. E. Barkou, T. Søndergaard, and A. Bjarklev, Opt. Lett. 25, 96 (2000).
    [CrossRef]
  4. T. P. White, R. C. McPhedran, L. C. Botten, G. H. Smith, and C. M. de Sterke, Opt. Express 9, 721 (2001), http://www.opticsexpress.com.
    [CrossRef] [PubMed]
  5. N. Venkataraman, M. T. Gallagher, D. Müller, C. M. Smith, J. A. West, K. W. Koch, and J. C. Fajardo, presented at the European Conference on Optical Communications, Copenhagen, Denmark, September 12–18, 2002.
  6. Y. Xu, R. K. Lee, and A. Yariv, Opt. Lett. 25, 1756 (2000).
    [CrossRef]
  7. S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
    [CrossRef] [PubMed]
  8. Y. Xu, A. Yariv, J. G. Fleming, and S.-Y. Lin, Opt. Express 11, 1039 (2003), http://www.opticsexpress.com.
    [CrossRef] [PubMed]
  9. T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
    [CrossRef]
  10. P. R. McIssac, IEEE Trans. Microwave Theory Tech. MTT-23, 421 (1975).
    [CrossRef]
  11. G. H. Smith, L. C. Botten, R. C. McPhedran, and N. A. Nicorovici, Phys. Rev. E 66, 056604 (2002).
    [CrossRef]

2003 (1)

2002 (3)

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

G. H. Smith, L. C. Botten, R. C. McPhedran, and N. A. Nicorovici, Phys. Rev. E 66, 056604 (2002).
[CrossRef]

2001 (1)

2000 (2)

1999 (1)

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

1978 (1)

1975 (1)

P. R. McIssac, IEEE Trans. Microwave Theory Tech. MTT-23, 421 (1975).
[CrossRef]

Allan, D. C.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Barkou, S. E.

Birks, T. A.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Bjarklev, A.

Botten, L. C.

Broeng, J.

Cregan, R. F.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

de Sterke, C. M.

Fajardo, J. C.

N. Venkataraman, M. T. Gallagher, D. Müller, C. M. Smith, J. A. West, K. W. Koch, and J. C. Fajardo, presented at the European Conference on Optical Communications, Copenhagen, Denmark, September 12–18, 2002.

Fink, Y.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Fleming, J. G.

Gallagher, M. T.

N. Venkataraman, M. T. Gallagher, D. Müller, C. M. Smith, J. A. West, K. W. Koch, and J. C. Fajardo, presented at the European Conference on Optical Communications, Copenhagen, Denmark, September 12–18, 2002.

Hart, S. D.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Joannopoulos, J. D.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Knight, J. C.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Koch, K. W.

N. Venkataraman, M. T. Gallagher, D. Müller, C. M. Smith, J. A. West, K. W. Koch, and J. C. Fajardo, presented at the European Conference on Optical Communications, Copenhagen, Denmark, September 12–18, 2002.

Kuhlmey, B. T.

Lee, R. K.

Lin, S.-Y.

Mangan, B. J.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Marom, E.

Maskaly, G. R.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Maystre, D.

McIssac, P. R.

P. R. McIssac, IEEE Trans. Microwave Theory Tech. MTT-23, 421 (1975).
[CrossRef]

McPhedran, R. C.

Müller, D.

N. Venkataraman, M. T. Gallagher, D. Müller, C. M. Smith, J. A. West, K. W. Koch, and J. C. Fajardo, presented at the European Conference on Optical Communications, Copenhagen, Denmark, September 12–18, 2002.

Nicorovici, N. A.

G. H. Smith, L. C. Botten, R. C. McPhedran, and N. A. Nicorovici, Phys. Rev. E 66, 056604 (2002).
[CrossRef]

Prideaux, P. H.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Renversez, G.

Roberts, P. J.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Russell, P. St. J.

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

Smith, C. M.

N. Venkataraman, M. T. Gallagher, D. Müller, C. M. Smith, J. A. West, K. W. Koch, and J. C. Fajardo, presented at the European Conference on Optical Communications, Copenhagen, Denmark, September 12–18, 2002.

Smith, G. H.

Søndergaard, T.

Temelkuran, B.

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Venkataraman, N.

N. Venkataraman, M. T. Gallagher, D. Müller, C. M. Smith, J. A. West, K. W. Koch, and J. C. Fajardo, presented at the European Conference on Optical Communications, Copenhagen, Denmark, September 12–18, 2002.

West, J. A.

N. Venkataraman, M. T. Gallagher, D. Müller, C. M. Smith, J. A. West, K. W. Koch, and J. C. Fajardo, presented at the European Conference on Optical Communications, Copenhagen, Denmark, September 12–18, 2002.

White, T. P.

Xu, Y.

Yariv, A.

Yeh, P.

IEEE Trans. Microwave Theory Tech. (1)

P. R. McIssac, IEEE Trans. Microwave Theory Tech. MTT-23, 421 (1975).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (1)

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. E (1)

G. H. Smith, L. C. Botten, R. C. McPhedran, and N. A. Nicorovici, Phys. Rev. E 66, 056604 (2002).
[CrossRef]

Science (2)

R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, Science 285, 1537 (1999).
[CrossRef] [PubMed]

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, Science 296, 510 (2002).
[CrossRef] [PubMed]

Other (1)

N. Venkataraman, M. T. Gallagher, D. Müller, C. M. Smith, J. A. West, K. W. Koch, and J. C. Fajardo, presented at the European Conference on Optical Communications, Copenhagen, Denmark, September 12–18, 2002.

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 (4)

Fig. 1
Fig. 1

(a) Cross section of an air-core photonic crystal fiber. The dashed line denotes a ring of air cylinders. (b) ΓM finger diagram of the triangular lattice cladding (with the color density proportional to the number of propagating states) and dispersions of the guided modes with different symmetry. The straight line is the light line, which is given by β=ω/c.

Fig. 2
Fig. 2

Distribution of the z component of the Poynting vector.

Fig. 3
Fig. 3

(a)–(c) Propagation loss of the modes with symmetry classes 1–4. Dashed lines are fits assuming an exponential dependence. (d) Imaginary part of the modal effective index of the class 3 mode as a function of the imaginary part of the silica refractive index.

Fig. 4
Fig. 4

(a) Wave zigzagging between two photonic crystal stacks. (b) Modal loss of the class 1 mode (TM-like) with five rings of air holes: circles, numerical results from the multipole expansion calculations; triangles were obtained from Eq. (1).

Equations (1)

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

α=2.14×109rcoT1-βcω21/2dB/km,

Metrics