Abstract

We demonstrate by numerical simulation that the general features of the loss spectrum of photonic crystal fibres (PCF) with a kagome structure can be explained by simple models consisting of thin concentric hexagons or rings of glass in air. These easily analysed models provide increased understanding of the mechanism of guidance in kagome PCF, and suggest ways in which the high-loss resonances in the loss spectrum may be shifted.

© 2007 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  3. C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
    [CrossRef]
  4. B. J. Mangan, L. Farr, A. Langford, P. J. Roberts, D. P. Williams, F. County, M. Lawman, M. Mason, S. Coupland, R. Flea, and H. Sabert, "Low loss (1.7 dB/km) hollow core photonic bandgap fiber," Conf. on Optical Fiber Communications, (LA, USA, 2004), paper PDP24.
  5. F. Couny, F. Benabid, and P. S. Light, "Large-pitch kagome-structured hollow-core photonic crystal fiber," Opt. Lett. 31, 3574-3576 (2006).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  12. F. L. Teixeira, and W. C. Chew, "General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media," IEEE Microw. Guid. Wave Lett. 8, 223-225 (1998).
    [CrossRef]
  13. S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Soljacic, S. A. Jacobs, J. D. Joannopoulos, and Y. Fink, "Low-loss asymptotically single-mode propagation in large-core OmniGuide fibers," Opt. Express 9, 748-779 (2001).
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  15. P. J. Roberts, D. P. Williams, B. J. Mangan, H. Sabert, F. Couny, W. J. Wadsworth, T. A. Birks, J. C. Knight, and P. St. J. Russell "Realizing low loss air core photonic crystal fibers by exploiting an antiresonant core surround," Opt. Express 13, 8277-8285 (2005).
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2007 (1)

2006 (3)

2005 (2)

2004 (1)

A. Nicolet, S. Guenneau, C. Geuzaine, and F. Zolla, "Modelling of electromagnetic waves in periodic media with finite elements," J. Comput. Appl. Math. 168, 321-329 (2004).
[CrossRef]

2003 (2)

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

J. M. Pottage, D. M. Bird, T. D. Hedley, T. A. Birks, J. C. Knight, P. St. J. Russell, and P. J. Roberts, "Robust photonic band gaps for hollow core guidance in PCF made from high index glass," Opt. Express 11, 2854-2861 (2003).

2001 (1)

2000 (1)

1999 (1)

R. F. Cregan, B. F. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef]

1998 (1)

F. L. Teixeira, and W. C. Chew, "General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media," IEEE Microw. Guid. Wave Lett. 8, 223-225 (1998).
[CrossRef]

Allan, D. C.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

R. F. Cregan, B. F. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef]

Argyros, A.

Benabid, F.

Bird, D. M.

Birks, T. A.

Borrelli, N. F.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

Burger, S.

L. Zschiedrich, S. Burger, R. Klose, A. Schädle, and F. Schmidt, "JCMmode: an adaptive finite element solver for the computation of leaky modes," Proc. SPIE 5728, 192-202 (2005).

Chew, W. C.

F. L. Teixeira, and W. C. Chew, "General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media," IEEE Microw. Guid. Wave Lett. 8, 223-225 (1998).
[CrossRef]

Couny, F.

Cregan, R. F.

R. F. Cregan, B. F. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef]

Engeness, T. D.

Fink, Y.

Gallagher, M. T.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

Geuzaine, C.

A. Nicolet, S. Guenneau, C. Geuzaine, and F. Zolla, "Modelling of electromagnetic waves in periodic media with finite elements," J. Comput. Appl. Math. 168, 321-329 (2004).
[CrossRef]

Guenneau, S.

A. Nicolet, S. Guenneau, C. Geuzaine, and F. Zolla, "Modelling of electromagnetic waves in periodic media with finite elements," J. Comput. Appl. Math. 168, 321-329 (2004).
[CrossRef]

Hedley, T. D.

Ibanescu, M.

Jacobs, S. A.

Joannopoulos, J. D.

Johnson, S. G.

Klose, R.

L. Zschiedrich, S. Burger, R. Klose, A. Schädle, and F. Schmidt, "JCMmode: an adaptive finite element solver for the computation of leaky modes," Proc. SPIE 5728, 192-202 (2005).

Knight, J. C.

Koch, K. W.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

Koshiba, M.

Light, P. S.

Luan, F.

Mangan, B. F.

R. F. Cregan, B. F. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef]

Mangan, B. J.

Müller, D.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

Nicolet, A.

A. Nicolet, S. Guenneau, C. Geuzaine, and F. Zolla, "Modelling of electromagnetic waves in periodic media with finite elements," J. Comput. Appl. Math. 168, 321-329 (2004).
[CrossRef]

Pearce, G. J.

Pla, J.

Pottage, J. M.

Roberts, P. J.

Russell, P. St. J.

Sabert, H.

Schädle, A.

L. Zschiedrich, S. Burger, R. Klose, A. Schädle, and F. Schmidt, "JCMmode: an adaptive finite element solver for the computation of leaky modes," Proc. SPIE 5728, 192-202 (2005).

Schmidt, F.

L. Zschiedrich, S. Burger, R. Klose, A. Schädle, and F. Schmidt, "JCMmode: an adaptive finite element solver for the computation of leaky modes," Proc. SPIE 5728, 192-202 (2005).

Skorobogatiy, M.

Smith, C. M.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

Soljacic, M.

Teixeira, F. L.

F. L. Teixeira, and W. C. Chew, "General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media," IEEE Microw. Guid. Wave Lett. 8, 223-225 (1998).
[CrossRef]

Tsuji, Y.

Venkataraman, N.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

Wadsworth, W. J.

Wang, A.

Weisberg, O.

West, J. A.

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

Williams, D. P.

Zolla, F.

A. Nicolet, S. Guenneau, C. Geuzaine, and F. Zolla, "Modelling of electromagnetic waves in periodic media with finite elements," J. Comput. Appl. Math. 168, 321-329 (2004).
[CrossRef]

Zschiedrich, L.

L. Zschiedrich, S. Burger, R. Klose, A. Schädle, and F. Schmidt, "JCMmode: an adaptive finite element solver for the computation of leaky modes," Proc. SPIE 5728, 192-202 (2005).

IEEE Microw. Guid. Wave Lett. (1)

F. L. Teixeira, and W. C. Chew, "General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media," IEEE Microw. Guid. Wave Lett. 8, 223-225 (1998).
[CrossRef]

J. Comput. Appl. Math. (1)

A. Nicolet, S. Guenneau, C. Geuzaine, and F. Zolla, "Modelling of electromagnetic waves in periodic media with finite elements," J. Comput. Appl. Math. 168, 321-329 (2004).
[CrossRef]

J. Lightwave Technol. (2)

Nature (1)

C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fibre," Nature 424, 657-659 (2003).
[CrossRef]

Opt. Express (5)

Opt. Lett. (1)

Proc. SPIE (1)

L. Zschiedrich, S. Burger, R. Klose, A. Schädle, and F. Schmidt, "JCMmode: an adaptive finite element solver for the computation of leaky modes," Proc. SPIE 5728, 192-202 (2005).

Science (1)

R. F. Cregan, B. F. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic band gap guidance of light in air," Science 285, 1537-1539 (1999).
[CrossRef]

Other (2)

B. J. Mangan, L. Farr, A. Langford, P. J. Roberts, D. P. Williams, F. County, M. Lawman, M. Mason, S. Coupland, R. Flea, and H. Sabert, "Low loss (1.7 dB/km) hollow core photonic bandgap fiber," Conf. on Optical Fiber Communications, (LA, USA, 2004), paper PDP24.

T. D. Hedley, D. M. Bird, F. Benabid, J. C. Knight, P. St. J. Russell, "Modelling of a novel hollow-core photonic crystal fibre," paper QTuL4 in Proc. QELS, Baltimore MA (June 1-6, 2003)

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