Abstract

In this paper, the properties of chirped photonic crystal fibers for guiding sub-100-fs pulses are discussed by numerical simulations and approximate analytical considerations. The nearly distortion-free guiding properties are explained by a spectral distribution of detrimental dispersive resonances. Deeper analysis reveals the geometrical properties of the innermost layer of the photonic cladding structure as a key parameter for the dispersive properties of this fiber. It is further investigated how systematic manipulation of the geometry can be exploited for influencing the guiding parameters.

© 2009 IEEE

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  31. G. Renversez, P. Boyer, A. Sagrini, "Antiresonant reflecting optical waveguide microstructured fibers revisited: A new analysis based on leaky mode coupling," Opt. Exp. 14, 5682-5687 (2006).
  32. M. Hisatomi, M. C. Parker, S. D. Walker, "Binary multi-zoned microstructured fiber: a comparative dispersion analysis of radially chirped Bragg fiber," J. Lightw. Technol. 23, 3551-3557 (2005).
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2008 (3)

J. S. Skibina, R. Iliew, J. Bethge, M. Bock, D. Fischer, V. I. Beloglasov, R. Wedell, G. Steinmeyer, "A chirped photonic crystal fibre," Nature Photon. 2, 679-683 (2008).

K. J. Rowland, S. V. Avshar, T. M. Monro, "Novel low-loss bandgaps in all-silica Bragg fibers," J. Lightw. Technol. 26, 43-51 (2008).

F. Couny, P. J. Roberts, T. A. Birks, F. Benabid, "Square-lattice large-pitch hollow-core photonic crystal fiber," Opt. Exp. 16, 20626-20636 (2008).

2007 (2)

J. Pomplun, L. Zschiedrich, R. Klose, F. Schmidt, S. Burger, "Finite element simulation of radiation losses in photonic crystal fibers," Phys. Stat. Sol. (a) 204, 3822-3837 (2007).

F. Couny, F. Benabid, P. J. Roberts, P. S. Light, P. G. Raymer, "Generation and photonic guidance of multi-octave optical-frequency combs," Science 318, 1118-1121 (2007).

2006 (3)

M. Moenster, P. Glas, R. Iliew, R. Wedell, G. Steinmeyer, "Microstructure fiber soliton laser," IEEE Photon. Technol. Lett. 18, 2502-2504 (2006).

M. Moenster, G. Steinmeyer, R. Iliew, F. Lederer, K. Petermann, "Analytical relation between effective mode field area and waveguide dispersion in microstructure fibers," Opt. Lett. 31, 3249-3251 (2006).

G. Renversez, P. Boyer, A. Sagrini, "Antiresonant reflecting optical waveguide microstructured fibers revisited: A new analysis based on leaky mode coupling," Opt. Exp. 14, 5682-5687 (2006).

2005 (1)

M. Hisatomi, M. C. Parker, S. D. Walker, "Binary multi-zoned microstructured fiber: a comparative dispersion analysis of radially chirped Bragg fiber," J. Lightw. Technol. 23, 3551-3557 (2005).

2004 (7)

R. Iliew, C. Etrich, F. Lederer, "Remote coupling in Bragg fibers," Opt. Lett. 29, 1596-1598 (2004).

G. Vienne, Y. Xu, C. Jakobsen, H. J. Deyerl, J. B. Jensen, T. Sørensen, T. P. Hansen, Y. Huang, M. Terrel, R. K. Lee, N. A. Mortensen, J. Broeng, H. Simonsen, A. Bjarklev, A. Yariv, "Ultra-large bandwidth hollow-core guiding in all-silica Bragg fibers with nano-supports," Opt. Exp. 12, 3500-3508 (2004).

F. Luan, J. C. Knight, P. S. J. Russell, S. Campbell, D. Xiao, D. T. Reid, B. J. Mangan, D. P. Williams, P. J. Roberts, "Femtosecond soliton pulse delivery at 800 nm wavelength in hollow-core photonic bandgap fibers," Opt. Exp. 12, 835-840 (2004).

P. J. Roberts, F. Couny, H. Sabert, B. J. Mangan, D. P. Williams, L. Farr, M. W. Mason, A. Tomlinson, T. A. Birks, J. C. Knight, P. S. J. Russell, "Demonstration of ultra-flattened dispersion in photonic crystal fibers," Opt. Exp. 13, 236-244 (2004).

K. Saitoh, N. A. Mortensen, M. Koshiba, "Air-core photonic band-gap fibers: The impact of surface modes," Opt. Exp. 12, 394-400 (2004).

J. A. West, C. M. Smith, N. F. Borrelli, D. C. Allan, K. W. Koch, "Surface modes in air-core photonic band-gap fibers," Opt. Exp. 12, 1485-1496 (2004).

G. Humbert, J. Knight, G. Bouwmans, P. Russell, D. Williams, P. Roberts, B. Mangan, "Hollow core photonic crystal fibers for beam delivery," Opt. Exp. 12, 1477-1484 (2004).

2003 (3)

D. G. Ouzounov, F. R. Ahmad, D. Müller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, A. L. Gaeta, "Generation of megawatt optical solitons in hollow-core photonic band-gap fibers," Science 301, 1702-1704 (2003).

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

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

2002 (1)

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, (2002) 173901.

2001 (2)

J. Marcou, F. Brechet, P. Roy, "Design of weakly guiding Bragg fibres for chromatic dispersion shifting towards short wavelengths," J. Opt. A: Pure Appl. Opt. 3, S144-S153 (2001).

S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Soljačić, S. A. Jacobs, J. D. Joannopoulos, Y. Fink, "Low-loss asymptotically single-mode propagation in large-core omniguide fibers," Opt. Exp. 9, 748-779 (2001).

2000 (1)

1999 (3)

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

N. Matuschek, F. X. Kärtner, U. Keller, "Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics," IEEE J. Quantum Electron. 35, 129-137 (1999).

J. A. Harrington, C. Rabii, D. Gibson, "Transmission properties of hollow glass waveguides for the delivery of CO$_{2}$ surgical laser power," IEEE J. Sel. Topics Quantum Electron. 5, 948-953 (1999).

1998 (2)

Y. S. Chan, C. T. Chan, Z. Y. Liu, "Photonic band gaps in two dimensional photonic quasicrystals," Phys. Rev. Lett. 80, 956-959 (1998).

J. Knight, J. Broeng, T. Birks, P. S. J. Russell, "Photonic band gap guidance in optical fibres," Science 282, 1476-1478 (1998).

1994 (1)

1993 (1)

J.-L. Archambaut, R. J. Black, S. Lacroix, J. Bures, "Loss calculations for antiresonant waveguides," J. Lightw. Technol. 11, 416-423 (1993).

1987 (1)

1982 (1)

K. Morishita, Y. Obata, N. Kumagai, "An exact analysis of group velocity for propagation modes in optical fibers," IEEE Trans. Microw. Theory Tech. 30, 1821-1826 (1982).

1978 (1)

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

1964 (1)

E. A. J. Marcatili, R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783-1809 (1964).

Bell Syst. Tech. J. (1)

E. A. J. Marcatili, R. A. Schmeltzer, "Hollow metallic and dielectric waveguides for long distance optical transmission and lasers," Bell Syst. Tech. J. 43, 1783-1809 (1964).

IEEE Photon. Technol. Lett. (1)

M. Moenster, P. Glas, R. Iliew, R. Wedell, G. Steinmeyer, "Microstructure fiber soliton laser," IEEE Photon. Technol. Lett. 18, 2502-2504 (2006).

IEEE J. Quantum Electron. (1)

N. Matuschek, F. X. Kärtner, U. Keller, "Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics," IEEE J. Quantum Electron. 35, 129-137 (1999).

IEEE J. Sel. Topics Quantum Electron. (1)

J. A. Harrington, C. Rabii, D. Gibson, "Transmission properties of hollow glass waveguides for the delivery of CO$_{2}$ surgical laser power," IEEE J. Sel. Topics Quantum Electron. 5, 948-953 (1999).

IEEE Trans. Microw. Theory Tech. (1)

K. Morishita, Y. Obata, N. Kumagai, "An exact analysis of group velocity for propagation modes in optical fibers," IEEE Trans. Microw. Theory Tech. 30, 1821-1826 (1982).

J. Opt. Soc. Amer. (1)

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

J. Lightw. Technol. (3)

J.-L. Archambaut, R. J. Black, S. Lacroix, J. Bures, "Loss calculations for antiresonant waveguides," J. Lightw. Technol. 11, 416-423 (1993).

K. J. Rowland, S. V. Avshar, T. M. Monro, "Novel low-loss bandgaps in all-silica Bragg fibers," J. Lightw. Technol. 26, 43-51 (2008).

M. Hisatomi, M. C. Parker, S. D. Walker, "Binary multi-zoned microstructured fiber: a comparative dispersion analysis of radially chirped Bragg fiber," J. Lightw. Technol. 23, 3551-3557 (2005).

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

J. Marcou, F. Brechet, P. Roy, "Design of weakly guiding Bragg fibres for chromatic dispersion shifting towards short wavelengths," J. Opt. A: Pure Appl. Opt. 3, S144-S153 (2001).

Nature Photon. (1)

J. S. Skibina, R. Iliew, J. Bethge, M. Bock, D. Fischer, V. I. Beloglasov, R. Wedell, G. Steinmeyer, "A chirped photonic crystal fibre," Nature Photon. 2, 679-683 (2008).

Nature (1)

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

Opt. Exp. (1)

F. Luan, J. C. Knight, P. S. J. Russell, S. Campbell, D. Xiao, D. T. Reid, B. J. Mangan, D. P. Williams, P. J. Roberts, "Femtosecond soliton pulse delivery at 800 nm wavelength in hollow-core photonic bandgap fibers," Opt. Exp. 12, 835-840 (2004).

Opt. Exp. (8)

P. J. Roberts, F. Couny, H. Sabert, B. J. Mangan, D. P. Williams, L. Farr, M. W. Mason, A. Tomlinson, T. A. Birks, J. C. Knight, P. S. J. Russell, "Demonstration of ultra-flattened dispersion in photonic crystal fibers," Opt. Exp. 13, 236-244 (2004).

K. Saitoh, N. A. Mortensen, M. Koshiba, "Air-core photonic band-gap fibers: The impact of surface modes," Opt. Exp. 12, 394-400 (2004).

J. A. West, C. M. Smith, N. F. Borrelli, D. C. Allan, K. W. Koch, "Surface modes in air-core photonic band-gap fibers," Opt. Exp. 12, 1485-1496 (2004).

G. Humbert, J. Knight, G. Bouwmans, P. Russell, D. Williams, P. Roberts, B. Mangan, "Hollow core photonic crystal fibers for beam delivery," Opt. Exp. 12, 1477-1484 (2004).

G. Vienne, Y. Xu, C. Jakobsen, H. J. Deyerl, J. B. Jensen, T. Sørensen, T. P. Hansen, Y. Huang, M. Terrel, R. K. Lee, N. A. Mortensen, J. Broeng, H. Simonsen, A. Bjarklev, A. Yariv, "Ultra-large bandwidth hollow-core guiding in all-silica Bragg fibers with nano-supports," Opt. Exp. 12, 3500-3508 (2004).

S. G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T. D. Engeness, M. Soljačić, S. A. Jacobs, J. D. Joannopoulos, Y. Fink, "Low-loss asymptotically single-mode propagation in large-core omniguide fibers," Opt. Exp. 9, 748-779 (2001).

G. Renversez, P. Boyer, A. Sagrini, "Antiresonant reflecting optical waveguide microstructured fibers revisited: A new analysis based on leaky mode coupling," Opt. Exp. 14, 5682-5687 (2006).

F. Couny, P. J. Roberts, T. A. Birks, F. Benabid, "Square-lattice large-pitch hollow-core photonic crystal fiber," Opt. Exp. 16, 20626-20636 (2008).

Opt. Lett. (5)

Phys. Rev. Lett. (2)

Y. S. Chan, C. T. Chan, Z. Y. Liu, "Photonic band gaps in two dimensional photonic quasicrystals," Phys. Rev. Lett. 80, 956-959 (1998).

J. Herrmann, U. Griebner, N. Zhavoronkov, A. Husakou, D. Nickel, J. C. Knight, W. J. Wadsworth, P. S. J. Russell, G. Korn, "Experimental evidence for supercontinuum generation by fission of higher-order solitons in photonic fibers," Phys. Rev. Lett. 88, (2002) 173901.

Phys. Stat. Sol. (a) (1)

J. Pomplun, L. Zschiedrich, R. Klose, F. Schmidt, S. Burger, "Finite element simulation of radiation losses in photonic crystal fibers," Phys. Stat. Sol. (a) 204, 3822-3837 (2007).

Science (5)

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

J. Knight, J. Broeng, T. Birks, P. S. J. Russell, "Photonic band gap guidance in optical fibres," Science 282, 1476-1478 (1998).

F. Couny, F. Benabid, P. J. Roberts, P. S. Light, P. G. Raymer, "Generation and photonic guidance of multi-octave optical-frequency combs," Science 318, 1118-1121 (2007).

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

D. G. Ouzounov, F. R. Ahmad, D. Müller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, A. L. Gaeta, "Generation of megawatt optical solitons in hollow-core photonic band-gap fibers," Science 301, 1702-1704 (2003).

Other (2)

A. Bjarklev, J. Broeng, A. S. Bjarklev, Photonic Crystal Fibres (Kluwer, 2003).

S. Burger, L. Zschiedrich, J. Pomplun, F. Schmidt, "JCMsuite: An adaptive FEM solver or precise simulations in nano-optics," Integrated Photon. Nanophoton. Res. Appl. Conf. BostonMA (2008) paper ITuE4.

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