Abstract

In this paper, the dispersion and the confinement loss properties of polygonal tube fibers are investigated. Fano resonances between the hollow core modes and the high order dielectric modes are found inside transmission bands. A theoretical model based on the approximation of the polygonal tube as a perturbed circular one is proposed. The model is able to predict number and spectral position of the Fano resonances. It is shown that there always is a lower bound condition on the number of sides of the polygonal fiber which guarantees the absence of Fano resonances in a given frequency range. Numerical results are given in order to support the model.

© 2011 IEEE

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  1. F. Couny, F. Benabid, P. J. Roberts, P. S. Light, M. G. Raymer, "Generation and photonic guidance of multi-octave optical-frequency combs," Science 318, (2007).
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  3. J. P. A. Argyros, S. G. Leon-Saval, A. Docherty, "Antiresonant reflection and inhibited coupling in hollow-core square lattice optical fibres," Opt. Exp. 16, 5642-5648 (2008).
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  5. J. Lu, C. Yu, H. Chen, C. P. Y. Li, C. Sun, "Terahertz air-core microstructured fiber," Appl. Phys. Lett. 31, 064105 (2008).
  6. P. Russel, "Photonic crystal fibers," Science 299, 358-362 (2003).
  7. A. D. Pryamikov, A. S. Biriukov, A. F. Kosolapov, V. G. Plotnichenko, S. L. Semjonov, E. M. Dianov, "Demonstration of a waveguide regime for a silica hollow-core microstructured optical fiber with a negative curvature of the core boundary in the spectral region ${>}3.5 \mu$m," Opt. Exp. 19, 1441-1448 (2011).
  8. L. Vincetti, V. Setti, "Waveguiding mechanism in tube lattice fibers," Opt. Exp. 18, 23133-23146 (2010).
  9. G. J. Pearce, G. S. Wiederhecker, C. G. Poulton, S. Burger, P. S. J. Russel, "Models for guidance in kagome-structured hollow-core photonic crystal fibres," Opt. Exp. 15, 12680-12685 (2007).
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  11. T. Grujic, B. T. Kuhlmey, A. Argyros, S. Coen, M. de Sterke, "Solid-core fiber with ultra-wide bandwidth transmission window due to inhibited coupling," Opt. Exp. 18, 25556-25566 (2010).
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  13. L. Vincetti, V. Setti, M. Zoboli, "Confinement loss of tube lattice and kagome fibers," Specialty Optical Fibers (SOF) (2011).
  14. L. Vincetti, V. Setti, "Confinement loss in kagome and tube lattice fibers: Comparison and analysis," J. Lightw. Technol. Submitted to.
  15. P. J. Roberts, F. Benabid, F. Couny, P. S. Light, "Dispersion properties of kagome hollow-core fibers," Proc. CLEO (2008).
  16. U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 24, 1866-1878 (1961).
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  19. S. Fan, W. Suh, J. D. Joannopoulos, "Temporal coupled-mode theory for the fano resonance in optical resonators," J. Opt. Soc. Amer. A 20, 569-572 (2002).
  20. S. Fan, J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, (2002).
  21. S. L. Chuang, "A coupled mode formulation by reciprocity and a variational principle," J. Lightw. Technol. 5, 5-15 (1987).
  22. W. Huang, J. Mu, "Complex coupled-mode theory for optical waveguides," Opt. Exp. 17, 19134-19152 (2009).
  23. S. Selleri, L. Vincetti, A. Cucinotta, M. Zoboli, "Complex fem modal solver of optical waveguides with pml boundary conditions," Opt. Quantum Electron. 33, 359-371 (2001).
  24. A. B. Manenkov, "Quasi optics of waveguides with selective reflecting dielectric walls," Proc. 5th Colloquim Microw. Commun. (1974).
  25. P. Yeh, A. Yariv, E. Marom, "Theory of Bragg fiber," J. Opt. Soc. Amer. 68, 1196-1201 (1978).
  26. S. Henry, R. C. L. M. Zurk, P. Hanaway, "Measurement and modeling of dielectric tube waveguides for terahertz pulses," Proc. SPIE (2009).
  27. M. M. Z. Kharadly, J. E. Lewis, "Properties of dielectric-tube waveguides," Proc. IEEE 116, (1969).
  28. K. J. Rowland, S. A. V. , T. M. Monro, "Bandgaps and antiresonances in integrated-arrows and Bragg fibers; a simple model," Opt. Exp. 16, 17935-17951 (2008).
  29. 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).
  30. M. Skorobogatiy, M. Ibanescu, S. G. Johnson, O. Wiesberg, T. D. Engeness, M. Soljacic, S. A. Jacobs, Y. Fink, "Analysis of general geometric scaling perturbations in a transmitting waveguide: Fundamental connection between polarization-mode dispersion and grou-velocity dispersion," J. Opt. Soc. Amer. B 19, 2867-2875 (2002).

2011 (3)

A. D. Pryamikov, A. S. Biriukov, A. F. Kosolapov, V. G. Plotnichenko, S. L. Semjonov, E. M. Dianov, "Demonstration of a waveguide regime for a silica hollow-core microstructured optical fiber with a negative curvature of the core boundary in the spectral region ${>}3.5 \mu$m," Opt. Exp. 19, 1441-1448 (2011).

Y. Y. Wang, N. V. Wheeler, F. Couny, P. J. Roberts, F. Benabid, "Low loss broadband transmission in hypocycloid-core kagome hollow-core photonic crystal fiber," Opt. Lett. 36, 669-671 (2011).

L. Vincetti, V. Setti, M. Zoboli, "Confinement loss of tube lattice and kagome fibers," Specialty Optical Fibers (SOF) (2011).

2010 (3)

L. Vincetti, V. Setti, "Waveguiding mechanism in tube lattice fibers," Opt. Exp. 18, 23133-23146 (2010).

S. Février, B. Beaudou, P. Viale, "Understanding origin of loss in large pitch hollow-core photonics crystal fibres and their design simplification," Opt. Exp. 18, 5142-5150 (2010).

T. Grujic, B. T. Kuhlmey, A. Argyros, S. Coen, M. de Sterke, "Solid-core fiber with ultra-wide bandwidth transmission window due to inhibited coupling," Opt. Exp. 18, 25556-25566 (2010).

2009 (3)

S. Février, F. Gérôme, A. Labruyère, B. Beaudou, G. Humbert, J. Auguste, "Ultraviolet guiding hollow-core photonic crystal fiber," Opt. Lett. 34, 2888-2890 (2009).

C. H. Lai, B. You, J. Y. Lu, T. A. Liu, J. L. Peng, C. K. Sun, H. C. Chang, "Modal characteristics of antiresonant reflecting pipe waveguides for terahertz waveguiding," Opt. Exp. 18, 309-322 (2009).

W. Huang, J. Mu, "Complex coupled-mode theory for optical waveguides," Opt. Exp. 17, 19134-19152 (2009).

2008 (3)

J. Lu, C. Yu, H. Chen, C. P. Y. Li, C. Sun, "Terahertz air-core microstructured fiber," Appl. Phys. Lett. 31, 064105 (2008).

J. P. A. Argyros, S. G. Leon-Saval, A. Docherty, "Antiresonant reflection and inhibited coupling in hollow-core square lattice optical fibres," Opt. Exp. 16, 5642-5648 (2008).

K. J. Rowland, S. A. V. , T. M. Monro, "Bandgaps and antiresonances in integrated-arrows and Bragg fibers; a simple model," Opt. Exp. 16, 17935-17951 (2008).

2007 (2)

F. Couny, F. Benabid, P. J. Roberts, P. S. Light, M. G. Raymer, "Generation and photonic guidance of multi-octave optical-frequency combs," Science 318, (2007).

G. J. Pearce, G. S. Wiederhecker, C. G. Poulton, S. Burger, P. S. J. Russel, "Models for guidance in kagome-structured hollow-core photonic crystal fibres," Opt. Exp. 15, 12680-12685 (2007).

2003 (2)

P. Russel, "Photonic crystal fibers," Science 299, 358-362 (2003).

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).

2002 (3)

M. Skorobogatiy, M. Ibanescu, S. G. Johnson, O. Wiesberg, T. D. Engeness, M. Soljacic, S. A. Jacobs, Y. Fink, "Analysis of general geometric scaling perturbations in a transmitting waveguide: Fundamental connection between polarization-mode dispersion and grou-velocity dispersion," J. Opt. Soc. Amer. B 19, 2867-2875 (2002).

S. Fan, W. Suh, J. D. Joannopoulos, "Temporal coupled-mode theory for the fano resonance in optical resonators," J. Opt. Soc. Amer. A 20, 569-572 (2002).

S. Fan, J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, (2002).

2001 (1)

S. Selleri, L. Vincetti, A. Cucinotta, M. Zoboli, "Complex fem modal solver of optical waveguides with pml boundary conditions," Opt. Quantum Electron. 33, 359-371 (2001).

1998 (1)

S. Glasberg, A. Sharon, D. Rosenblatt, A. A. Friesem, "Spectral shifts and line-shapes asymmetries in the resonant response of grating waveguide structures," Opt. Commun. 145, 291-299 (1998).

1990 (1)

S. S. Wang, R. Magnusson, J. Bagby, M. G. Moharam, "Guided-mode resonances in planar dielectric-layer diffraction gratings," J. Opt. Soc. Amer. A 7, 1470-1474 (1990).

1987 (1)

S. L. Chuang, "A coupled mode formulation by reciprocity and a variational principle," J. Lightw. Technol. 5, 5-15 (1987).

1978 (1)

P. Yeh, A. Yariv, E. Marom, "Theory of Bragg fiber," J. Opt. Soc. Amer. 68, 1196-1201 (1978).

1969 (1)

M. M. Z. Kharadly, J. E. Lewis, "Properties of dielectric-tube waveguides," Proc. IEEE 116, (1969).

1961 (1)

U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 24, 1866-1878 (1961).

Appl. Phys. Lett. (1)

J. Lu, C. Yu, H. Chen, C. P. Y. Li, C. Sun, "Terahertz air-core microstructured fiber," Appl. Phys. Lett. 31, 064105 (2008).

J. Lightw. Technol. (2)

L. Vincetti, V. Setti, "Confinement loss in kagome and tube lattice fibers: Comparison and analysis," J. Lightw. Technol. Submitted to.

S. L. Chuang, "A coupled mode formulation by reciprocity and a variational principle," J. Lightw. Technol. 5, 5-15 (1987).

J. Opt. Soc. Amer. (1)

P. Yeh, A. Yariv, E. Marom, "Theory of Bragg fiber," J. Opt. Soc. Amer. 68, 1196-1201 (1978).

J. Opt. Soc. Amer. A (2)

S. S. Wang, R. Magnusson, J. Bagby, M. G. Moharam, "Guided-mode resonances in planar dielectric-layer diffraction gratings," J. Opt. Soc. Amer. A 7, 1470-1474 (1990).

S. Fan, W. Suh, J. D. Joannopoulos, "Temporal coupled-mode theory for the fano resonance in optical resonators," J. Opt. Soc. Amer. A 20, 569-572 (2002).

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

M. Skorobogatiy, M. Ibanescu, S. G. Johnson, O. Wiesberg, T. D. Engeness, M. Soljacic, S. A. Jacobs, Y. Fink, "Analysis of general geometric scaling perturbations in a transmitting waveguide: Fundamental connection between polarization-mode dispersion and grou-velocity dispersion," J. Opt. Soc. Amer. B 19, 2867-2875 (2002).

Opt. Commun. (1)

S. Glasberg, A. Sharon, D. Rosenblatt, A. A. Friesem, "Spectral shifts and line-shapes asymmetries in the resonant response of grating waveguide structures," Opt. Commun. 145, 291-299 (1998).

Opt. Exp. (10)

J. P. A. Argyros, S. G. Leon-Saval, A. Docherty, "Antiresonant reflection and inhibited coupling in hollow-core square lattice optical fibres," Opt. Exp. 16, 5642-5648 (2008).

C. H. Lai, B. You, J. Y. Lu, T. A. Liu, J. L. Peng, C. K. Sun, H. C. Chang, "Modal characteristics of antiresonant reflecting pipe waveguides for terahertz waveguiding," Opt. Exp. 18, 309-322 (2009).

A. D. Pryamikov, A. S. Biriukov, A. F. Kosolapov, V. G. Plotnichenko, S. L. Semjonov, E. M. Dianov, "Demonstration of a waveguide regime for a silica hollow-core microstructured optical fiber with a negative curvature of the core boundary in the spectral region ${>}3.5 \mu$m," Opt. Exp. 19, 1441-1448 (2011).

L. Vincetti, V. Setti, "Waveguiding mechanism in tube lattice fibers," Opt. Exp. 18, 23133-23146 (2010).

G. J. Pearce, G. S. Wiederhecker, C. G. Poulton, S. Burger, P. S. J. Russel, "Models for guidance in kagome-structured hollow-core photonic crystal fibres," Opt. Exp. 15, 12680-12685 (2007).

S. Février, B. Beaudou, P. Viale, "Understanding origin of loss in large pitch hollow-core photonics crystal fibres and their design simplification," Opt. Exp. 18, 5142-5150 (2010).

T. Grujic, B. T. Kuhlmey, A. Argyros, S. Coen, M. de Sterke, "Solid-core fiber with ultra-wide bandwidth transmission window due to inhibited coupling," Opt. Exp. 18, 25556-25566 (2010).

K. J. Rowland, S. A. V. , T. M. Monro, "Bandgaps and antiresonances in integrated-arrows and Bragg fibers; a simple model," Opt. Exp. 16, 17935-17951 (2008).

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).

W. Huang, J. Mu, "Complex coupled-mode theory for optical waveguides," Opt. Exp. 17, 19134-19152 (2009).

Opt. Lett. (2)

Opt. Quantum Electron. (1)

S. Selleri, L. Vincetti, A. Cucinotta, M. Zoboli, "Complex fem modal solver of optical waveguides with pml boundary conditions," Opt. Quantum Electron. 33, 359-371 (2001).

Phys. Rev. (1)

U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 24, 1866-1878 (1961).

Phys. Rev. B (1)

S. Fan, J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, (2002).

Proc. IEEE (1)

M. M. Z. Kharadly, J. E. Lewis, "Properties of dielectric-tube waveguides," Proc. IEEE 116, (1969).

Science (2)

P. Russel, "Photonic crystal fibers," Science 299, 358-362 (2003).

F. Couny, F. Benabid, P. J. Roberts, P. S. Light, M. G. Raymer, "Generation and photonic guidance of multi-octave optical-frequency combs," Science 318, (2007).

Specialty Optical Fibers (SOF) (1)

L. Vincetti, V. Setti, M. Zoboli, "Confinement loss of tube lattice and kagome fibers," Specialty Optical Fibers (SOF) (2011).

Other (3)

P. J. Roberts, F. Benabid, F. Couny, P. S. Light, "Dispersion properties of kagome hollow-core fibers," Proc. CLEO (2008).

A. B. Manenkov, "Quasi optics of waveguides with selective reflecting dielectric walls," Proc. 5th Colloquim Microw. Commun. (1974).

S. Henry, R. C. L. M. Zurk, P. Hanaway, "Measurement and modeling of dielectric tube waveguides for terahertz pulses," Proc. SPIE (2009).

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