Abstract

The rate of decay of the fundamental guided mode into the surrounding cladding in all-solid photonic bandgap fibers is investigated. Both a simple 1-D model and numerical calculations of realistic fibers show that the decay rate varies asymmetrically across the bandgaps, with larger values near the upper edge of the bandgap. The implications for modeling bend loss in these fibers are discussed.

© 2010 IEEE

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  1. J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).
  2. F. Luan, A. K. George, T. D. Hedley, G. J. Pearce, D. M. Bird, J. C. Knight, P. St. J. Russell, "All-solid photonic bandgap fiber," Opt. Lett. 29, 2369-2371 (2004).
  3. A. Argyros, T. A. Birks, S. G. Leon-Saval, C. M. B. Cordeiro, F. Luan, P. St. J. Russell, "Photonic bandgap with an index step of one percent," Opt. Exp 13, 309-314 (2005).
  4. G. Bouwmans, L. Bigot, Y. Quiquempois, F. Lopez, L. Provino, M. Douay, "Fabrication and characterization of an all-solid 2-D photonic bandgap fiber with a low-loss region (${<}20$ dB/km) around 1550 nm," Opt. Exp. 13, 8452-8459 (2005).
  5. J. C. Knight, F. Luan, G. J. Pearce, A. Wang, T. A. Birks, D. M. Bird, "Solid photonic bandgap fibers and applications," Jpn. J. Appl. Phys. 45, 6059-6063 (2006).
  6. A. Isomäki, O. G. Okhotnikov, "Femtosecond soliton mode-locked laser based on ytterbium-doped photonic bandgap fiber," Opt. Exp. 14, 9238-9243 (2006).
  7. G. Ren, P. Shum, L. Zhang, X. Yu, W. Tong, J. Luo, "Low-loss all-solid photonic bandgap fiber," Opt. Lett. 32, 1023-1025 (2007).
  8. T. P. White, R. C. McPhedran, C. M. de Sterke, N. M. Litchinitser, B. J. Eggleton, "Resonance and scattering in microstructured optical fibers," Opt. Lett. 27, 1977-1979 (2002).
  9. N. M. Litchinitser, S. C. Dunn, B. Usner, B. J. Eggleton, T. P. White, R. C. McPhedran, C. M. de Sterke, "Resonances in microstructured optical waveguides," Opt. Exp. 11, 1243-1251 (2003).
  10. J. Lægsgaard, "Gap formation and guided modes in photonic bandgap fibres with high-index rods," J. Opt. A: Pure Appl. Opt. 6, 798-804 (2004).
  11. T. A. Birks, F. Luan, G. J. Pearce, A. Wang, J. C. Knight, D. M. Bird, "Bend loss in all-solid bandgap fibres," Opt. Exp. 14, 5688-5698 (2006).
  12. J. M. Stone, G. J. Pearce, F. Luan, T. A. Birks, J. C. Knight, A. K. George, D. M. Bird, "An improved photonic bandgap fiber based on an array of rings," Opt. Exp. 14, 6291-6296 (2006).
  13. T. A. Birks, G. J. Pearce, D. M. Bird, "Approximate band structure calculation for photonic bandgap fibres," Opt. Exp. 14, 9483-9490 (2006).
  14. T. Murao, K. Saitoh, M. Koshiba, "Detailed theoretical investigation of bending properties in solid-core photonic bandgap fibers," Opt. Exp. 17, 7615-7629 (2009).
  15. J. D. Love, "Application of a low-loss criterion to optical waveguides and devices," IEE Proc. J. 136, 225-228 (1989).
  16. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1983).
  17. T. A. Birks, Y. W. Li, C. D. Hussey, "Waveguides with delta function layers," Opt. Commun. 83, 203-209 (1991).
  18. G. J. Pearce, T. D. Hedley, D. M. Bird, "Adaptive curvilinear coordinates in a plane-wave solution of Maxwell's equations in photonic crystals," Phys. Rev. B 71, 195108 (2005).
  19. P. St. J. Russell, T. A. Birks, F. D. Lloyd-Lucas, Confined Electrons and Photons (Plenum, 1995) pp. 585-633.

2009 (1)

T. Murao, K. Saitoh, M. Koshiba, "Detailed theoretical investigation of bending properties in solid-core photonic bandgap fibers," Opt. Exp. 17, 7615-7629 (2009).

2007 (1)

2006 (5)

J. C. Knight, F. Luan, G. J. Pearce, A. Wang, T. A. Birks, D. M. Bird, "Solid photonic bandgap fibers and applications," Jpn. J. Appl. Phys. 45, 6059-6063 (2006).

A. Isomäki, O. G. Okhotnikov, "Femtosecond soliton mode-locked laser based on ytterbium-doped photonic bandgap fiber," Opt. Exp. 14, 9238-9243 (2006).

T. A. Birks, F. Luan, G. J. Pearce, A. Wang, J. C. Knight, D. M. Bird, "Bend loss in all-solid bandgap fibres," Opt. Exp. 14, 5688-5698 (2006).

J. M. Stone, G. J. Pearce, F. Luan, T. A. Birks, J. C. Knight, A. K. George, D. M. Bird, "An improved photonic bandgap fiber based on an array of rings," Opt. Exp. 14, 6291-6296 (2006).

T. A. Birks, G. J. Pearce, D. M. Bird, "Approximate band structure calculation for photonic bandgap fibres," Opt. Exp. 14, 9483-9490 (2006).

2005 (3)

G. J. Pearce, T. D. Hedley, D. M. Bird, "Adaptive curvilinear coordinates in a plane-wave solution of Maxwell's equations in photonic crystals," Phys. Rev. B 71, 195108 (2005).

A. Argyros, T. A. Birks, S. G. Leon-Saval, C. M. B. Cordeiro, F. Luan, P. St. J. Russell, "Photonic bandgap with an index step of one percent," Opt. Exp 13, 309-314 (2005).

G. Bouwmans, L. Bigot, Y. Quiquempois, F. Lopez, L. Provino, M. Douay, "Fabrication and characterization of an all-solid 2-D photonic bandgap fiber with a low-loss region (${<}20$ dB/km) around 1550 nm," Opt. Exp. 13, 8452-8459 (2005).

2004 (2)

F. Luan, A. K. George, T. D. Hedley, G. J. Pearce, D. M. Bird, J. C. Knight, P. St. J. Russell, "All-solid photonic bandgap fiber," Opt. Lett. 29, 2369-2371 (2004).

J. Lægsgaard, "Gap formation and guided modes in photonic bandgap fibres with high-index rods," J. Opt. A: Pure Appl. Opt. 6, 798-804 (2004).

2003 (2)

N. M. Litchinitser, S. C. Dunn, B. Usner, B. J. Eggleton, T. P. White, R. C. McPhedran, C. M. de Sterke, "Resonances in microstructured optical waveguides," Opt. Exp. 11, 1243-1251 (2003).

J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).

2002 (1)

1991 (1)

T. A. Birks, Y. W. Li, C. D. Hussey, "Waveguides with delta function layers," Opt. Commun. 83, 203-209 (1991).

1989 (1)

J. D. Love, "Application of a low-loss criterion to optical waveguides and devices," IEE Proc. J. 136, 225-228 (1989).

IEE Proc. J. (1)

J. D. Love, "Application of a low-loss criterion to optical waveguides and devices," IEE Proc. J. 136, 225-228 (1989).

J. Opt. A: Pure Appl. Opt. (1)

J. Lægsgaard, "Gap formation and guided modes in photonic bandgap fibres with high-index rods," J. Opt. A: Pure Appl. Opt. 6, 798-804 (2004).

Jpn. J. Appl. Phys. (1)

J. C. Knight, F. Luan, G. J. Pearce, A. Wang, T. A. Birks, D. M. Bird, "Solid photonic bandgap fibers and applications," Jpn. J. Appl. Phys. 45, 6059-6063 (2006).

Nature (1)

J. C. Knight, "Photonic crystal fibres," Nature 424, 847-851 (2003).

Opt. Commun. (1)

T. A. Birks, Y. W. Li, C. D. Hussey, "Waveguides with delta function layers," Opt. Commun. 83, 203-209 (1991).

Opt. Exp (1)

A. Argyros, T. A. Birks, S. G. Leon-Saval, C. M. B. Cordeiro, F. Luan, P. St. J. Russell, "Photonic bandgap with an index step of one percent," Opt. Exp 13, 309-314 (2005).

Opt. Exp. (7)

G. Bouwmans, L. Bigot, Y. Quiquempois, F. Lopez, L. Provino, M. Douay, "Fabrication and characterization of an all-solid 2-D photonic bandgap fiber with a low-loss region (${<}20$ dB/km) around 1550 nm," Opt. Exp. 13, 8452-8459 (2005).

A. Isomäki, O. G. Okhotnikov, "Femtosecond soliton mode-locked laser based on ytterbium-doped photonic bandgap fiber," Opt. Exp. 14, 9238-9243 (2006).

T. A. Birks, F. Luan, G. J. Pearce, A. Wang, J. C. Knight, D. M. Bird, "Bend loss in all-solid bandgap fibres," Opt. Exp. 14, 5688-5698 (2006).

J. M. Stone, G. J. Pearce, F. Luan, T. A. Birks, J. C. Knight, A. K. George, D. M. Bird, "An improved photonic bandgap fiber based on an array of rings," Opt. Exp. 14, 6291-6296 (2006).

T. A. Birks, G. J. Pearce, D. M. Bird, "Approximate band structure calculation for photonic bandgap fibres," Opt. Exp. 14, 9483-9490 (2006).

T. Murao, K. Saitoh, M. Koshiba, "Detailed theoretical investigation of bending properties in solid-core photonic bandgap fibers," Opt. Exp. 17, 7615-7629 (2009).

N. M. Litchinitser, S. C. Dunn, B. Usner, B. J. Eggleton, T. P. White, R. C. McPhedran, C. M. de Sterke, "Resonances in microstructured optical waveguides," Opt. Exp. 11, 1243-1251 (2003).

Opt. Lett. (3)

Phys. Rev. B (1)

G. J. Pearce, T. D. Hedley, D. M. Bird, "Adaptive curvilinear coordinates in a plane-wave solution of Maxwell's equations in photonic crystals," Phys. Rev. B 71, 195108 (2005).

Other (2)

P. St. J. Russell, T. A. Birks, F. D. Lloyd-Lucas, Confined Electrons and Photons (Plenum, 1995) pp. 585-633.

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1983).

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