Abstract

Based on the results of a fully vectorial finite-difference analysis, we identify three important regimes of field-profile and dispersion management of photonic-crystal fibers with a solid core modified by arrays of nanosize air-hole defects. In the first regime, very small air holes act as weak perturbations, slightly modifying the field profiles of fiber modes and red-shifting the wavelength of zero group-velocity dispersion (GVD). In the second regime, larger holes reduce the effective mode area, tightening the confinement of the light field in the fiber core and blue-shifting the zero-GVD wavelength. Finally, in the third regime, the nanosize air-hole defects with diameters above a critical value induce a phase-transition-type behavior of mode field profiles, dramatically reducing the localization of the field in the fiber core and increasing the radiation power in the fiber cladding. This phase transition in mode field profiles qualitatively modifies the wavelength dependence of the effective mode area and dispersion parameters of fiber modes, especially in the long-wavelength range, suggesting an attractive strategy for fiber dispersion and mode area engineering.

©2006 Optical Society of America

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Stabilized soliton self-frequency shift and 0.1-PHz sideband generation in a photonic-crystal fiber with an air-hole-modified core

Bo-Wen Liu, Ming-Lie Hu, Xiao-Hui Fang, Yan-Feng Li, Lu Chai, Ching-Yue Wang, Weijun Tong, Jie Luo, Aleksandr A. Voronin, and Aleksei M. Zheltikov
Opt. Express 16(19) 14987-14996 (2008)

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2006 (7)

K. Saitoh, N. J. Florous, and M. Koshiba, “Theoretical realization of holey fiber with flat chromatic dispersion and large mode area: an intriguing defected approach,” Opt. Lett. 31, 26–28 (2006).
[Crossref] [PubMed]

A. M. Zheltikov, “Nanomanaging dispersion, nonlinearity, and gain of photonic-crystal fibers,” Appl. Phys. B 84, 69–74 (2006).
[Crossref]

E. E. Serebryannikov and A. M. Zheltikov, “Nanomanagement of dispersion, nonlinearity, and gain of photonic-crystal fibers: qualitative arguments of the Gaussian-mode theory and nonperturbative numerical analysis,” J. Opt. Soc. Am. B 23, 1700–1707 (2006).
[Crossref]

N. Florous, K. Saitoh, and M. Koshiba, “The role of artificial defects for engineering large effective mode area, flat chromatic dispersion, and low leakage losses in photonic crystal fibers: Towards high speed reconfigurable transmission platforms,” Opt. Express 14, 901–913 (2006).
[Crossref] [PubMed]

M. H. Frosz, T. Sørensen, and O. Bang, “Nanoengineering of photonic crystal fibers for supercontinuum spectral shaping,” J. Opt. Soc. Am. B 23, 1692–1699 (2006)
[Crossref]

A. B. Fedotov, E. E. Serebryannikov, A. A. Ivanov, and A. M. Zheltikov, “Spectral transformation of femtosecond Cr:forsterite laser pulses in a flint-glass photonic-crystal fiber,” Appl. Opt. 45, 6823–6830 (2006).
[Crossref] [PubMed]

M. Szpulak, W. Urbanczyk, E. Serebryannikov, A. Zheltikov, A. Hochman, Y. Leviatan, R. Kotynski, and K. Panajotov, “Comparison of different methods for rigorous modeling of photonic crystal fibers,” Opt. Express 14, 5699–5714 (2006).
[Crossref] [PubMed]

2005 (7)

S. Wilcox, L. Botten, C. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, “Long wavelength behavior of the fundamental mode in microstructured optical fibers,” Opt. Express 13, 1978–1984 (2005).
[Crossref] [PubMed]

S. Konorov, A. Zheltikov, and M. Scalora, “Photonic-crystal fiber as a multifunctional optical sensor and sample collector,” Opt. Express 13, 3454–3459 (2005).
[Crossref] [PubMed]

F. Poletti, V. Finazzi, T. M. Monro, N. G. R. Broderick, V. Tse, and D. J. Richardson, “Inverse design and fabrication tolerances of ultra-flattened dispersion holey fibers,” Opt. Express 13, 3728–3736 (2005).
[Crossref] [PubMed]

K. Saitoh, N. Florous, and M. Koshiba, “Ultra-flattened chromatic dispersion controllability using a defected-core photonic crystal fiber with low confinement losses,” Opt. Express 13, 8365–8371 (2005).
[Crossref] [PubMed]

C. Y. Teisset, N. Ishii, T. Fuji, T. Metzger, S. Köhler, R. Holzwarth, A. Baltuska, A. M. Zheltikov, and F. Krausz, “Soliton-based pump.seed synchronization for few-cycle OPCPA,” Opt. Express 13, 6550–6557 (2005).
[Crossref] [PubMed]

F. Di Teodoro and C. Brooks, “1.1 MW peak-power, 7 W average-power, high-spectral brightness, diffraction-limited pulses from a photonic crystal fiber amplifier,” Opt. Lett. 30, 2694–2696 (2005).
[Crossref] [PubMed]

C. Brooks and F. Di Teodoro, “1-mJ energy, 1-MW peak-power, 10-W average-power, spectrally narrow, diffraction-limited pulses from a photonic-crystal fiber amplifier,” Opt. Express 13, 8999–9002 (2005).
[Crossref] [PubMed]

2004 (5)

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, “Cross-correlation FROG CARS with frequency-converting photonic-crystal fibers,” Phys. Rev. E 70, 057601 (2004).
[Crossref]

A. M. Zheltikov, “Nonlinear optics of microstructure fibers,” Phys. Uspekhi 47, 69–98 (2004).
[Crossref]

C. J. S. de Matos, S. V. Popov, A. B. Rulkov, J. R. Taylor, J. Broeng, T. P. Hansen, and V. P. Gapontsev, “All-Fiber Format Compression of Frequency Chirped Pulses in Air-Guiding Photonic Crystal Fibers,” Phys. Rev. Lett. 93, 103901 (2004).
[Crossref] [PubMed]

H. Lim and F. Wise, “Control of dispersion in a femtosecond ytterbium laser by use of hollow-core photonic bandgap fiber,” Opt. Express 12, 2231–2235 (2004)
[Crossref] [PubMed]

J. B. Jensen, L. H. Pedersen, P. E. Hoiby, L. B. Nielsen, T. P. Hansen, J. R. Folkenberg, J. Riishede, D. Noordegraaf, K. Nielsen, A. Carlsen, and A. Bjarklev, “Photonic crystal fiber based evanescent-wave sensor for detection of biomolecules in aqueous solutions,” Opt. Lett. 29, 1974–1976 (2004).
[Crossref] [PubMed]

2003 (8)

M. T. Myaing, J. Y. Ye, T. B. Norris, T. Thomas, J. R. Baker, W. J. Wadsworth, G. Bouwmans, J. C. Knight, and P. S. J. Russell, “Enhanced two-phot on biosensing with double-clad photonic crystal fibers,” Opt. Lett. 28, 1224–1226 (2003).
[Crossref] [PubMed]

T. Südmeyer, F. Brunner, E. Innerhofer, R. Paschotta, K. Furusawa, J. C. Baggett, T. M. Monro, D. J. Richardson, and U. Keller, “Nonlinear femtosecond pulse compression at high average power levels by use of a large-mode-area holey fiber,” Opt. Lett. 28, 1951–1953 (2003).
[Crossref] [PubMed]

P. St. J. Russell, “Photonic crystal fibers,” Science 299, 358–362 (2003).
[Crossref] [PubMed]

J. C. Knight, “Photonic crystal fibers,” Nature 424, 847–851 (2003).
[Crossref] [PubMed]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, and A. Tünnermann,“All fiber chirped-pulse amplification system based on compression in air-guiding photonic bandgap fiber,” Opt. Express 11, 3332–3337 (2003).
[Crossref] [PubMed]

W. Wadsworth, R. Percival, G. Bouwmans, J. Knight, and P. Russell, “High power air-clad photonic crystal fibre laser,” Opt. Express 11, 48–53 (2003)
[Crossref] [PubMed]

J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, T. Tunnermann, R. Iliew, F. Lederer, J. Broeng, G. Vienne, A. Petersson, and C. Jakobsen, “High-power air-clad large-mode-area photonic crystal fiber laser,” Opt. Express 11, 818–823 (2003).
[Crossref] [PubMed]

2002 (6)

2001 (2)

2000 (4)

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000).
[Crossref] [PubMed]

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[Crossref] [PubMed]

J. K. Ranka, R. S. Windeler, and A. J. Stentz, “Visible continuum generation in air-silica microstructure optical fibers with anomalous dispersion at 800 nm,” Opt. Lett. 25, 25–27 (2000).
[Crossref]

A. Ferrando, E. Silvestre, J. J. Miret, and P. Andres, “Nearly zero ultraflattened dispersion in photonic crystal fibers,” Opt. Lett. 25, 790–792 (2000).
[Crossref]

1993 (1)

W. P. Huang and C. L. Xu, “Simulation of three-dimensional optical waveguides by a full-vector beam propagation method,” IEEE J. Quantum Electron. 29, 2639–2649 (1993).
[Crossref]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 2001).

Akimov, D. A.

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, “Cross-correlation FROG CARS with frequency-converting photonic-crystal fibers,” Phys. Rev. E 70, 057601 (2004).
[Crossref]

Alfimov, M. V.

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, “Cross-correlation FROG CARS with frequency-converting photonic-crystal fibers,” Phys. Rev. E 70, 057601 (2004).
[Crossref]

Andres, P.

Baggett, J. C.

Baker, J. R.

Baltuska, A.

Bang, O.

Biancalana, F.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

Birks, T. A.

Bjarklev, A.

Botten, L.

Bouwmans, G.

Broderick, N. G. R.

Broeng, J.

C. J. S. de Matos, S. V. Popov, A. B. Rulkov, J. R. Taylor, J. Broeng, T. P. Hansen, and V. P. Gapontsev, “All-Fiber Format Compression of Frequency Chirped Pulses in Air-Guiding Photonic Crystal Fibers,” Phys. Rev. Lett. 93, 103901 (2004).
[Crossref] [PubMed]

J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, T. Tunnermann, R. Iliew, F. Lederer, J. Broeng, G. Vienne, A. Petersson, and C. Jakobsen, “High-power air-clad large-mode-area photonic crystal fiber laser,” Opt. Express 11, 818–823 (2003).
[Crossref] [PubMed]

Brooks, C.

Brown, T.

Brunner, F.

Carlsen, A.

Chudoba, C.

Cundiff, S. T.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[Crossref] [PubMed]

de Matos, C. J. S.

C. J. S. de Matos, S. V. Popov, A. B. Rulkov, J. R. Taylor, J. Broeng, T. P. Hansen, and V. P. Gapontsev, “All-Fiber Format Compression of Frequency Chirped Pulses in Air-Guiding Photonic Crystal Fibers,” Phys. Rev. Lett. 93, 103901 (2004).
[Crossref] [PubMed]

de Sterke, C.

Di Teodoro, F.

Diddams, S. A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[Crossref] [PubMed]

Efimov, A.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

Fedotov, A. B.

Ferrando, A.

Finazzi, V.

Florous, N.

Florous, N. J.

Folkenberg, J. R.

Frosz, M. H.

Fuji, T.

Fujimoto, J. G.

Furusawa, K.

Fussell, D.

Gapontsev, V. P.

C. J. S. de Matos, S. V. Popov, A. B. Rulkov, J. R. Taylor, J. Broeng, T. P. Hansen, and V. P. Gapontsev, “All-Fiber Format Compression of Frequency Chirped Pulses in Air-Guiding Photonic Crystal Fibers,” Phys. Rev. Lett. 93, 103901 (2004).
[Crossref] [PubMed]

Hall, J. L.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[Crossref] [PubMed]

Hänsch, T. W.

Th. Udem, R. Holzwarth, and T. W. Hänsch, “Optical Frequency Metrology,” Nature 416, 233–237 (2002).
[Crossref] [PubMed]

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000).
[Crossref] [PubMed]

Hansen, T. P.

C. J. S. de Matos, S. V. Popov, A. B. Rulkov, J. R. Taylor, J. Broeng, T. P. Hansen, and V. P. Gapontsev, “All-Fiber Format Compression of Frequency Chirped Pulses in Air-Guiding Photonic Crystal Fibers,” Phys. Rev. Lett. 93, 103901 (2004).
[Crossref] [PubMed]

J. B. Jensen, L. H. Pedersen, P. E. Hoiby, L. B. Nielsen, T. P. Hansen, J. R. Folkenberg, J. Riishede, D. Noordegraaf, K. Nielsen, A. Carlsen, and A. Bjarklev, “Photonic crystal fiber based evanescent-wave sensor for detection of biomolecules in aqueous solutions,” Opt. Lett. 29, 1974–1976 (2004).
[Crossref] [PubMed]

Hartl, I.

Hochman, A.

Hoiby, P. E.

Holzwarth, R.

C. Y. Teisset, N. Ishii, T. Fuji, T. Metzger, S. Köhler, R. Holzwarth, A. Baltuska, A. M. Zheltikov, and F. Krausz, “Soliton-based pump.seed synchronization for few-cycle OPCPA,” Opt. Express 13, 6550–6557 (2005).
[Crossref] [PubMed]

Th. Udem, R. Holzwarth, and T. W. Hänsch, “Optical Frequency Metrology,” Nature 416, 233–237 (2002).
[Crossref] [PubMed]

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000).
[Crossref] [PubMed]

Huang, W. P.

W. P. Huang and C. L. Xu, “Simulation of three-dimensional optical waveguides by a full-vector beam propagation method,” IEEE J. Quantum Electron. 29, 2639–2649 (1993).
[Crossref]

Ilday, F.

Iliew, R.

Innerhofer, E.

Ishii, N.

Ivanov, A. A.

A. B. Fedotov, E. E. Serebryannikov, A. A. Ivanov, and A. M. Zheltikov, “Spectral transformation of femtosecond Cr:forsterite laser pulses in a flint-glass photonic-crystal fiber,” Appl. Opt. 45, 6823–6830 (2006).
[Crossref] [PubMed]

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, “Cross-correlation FROG CARS with frequency-converting photonic-crystal fibers,” Phys. Rev. E 70, 057601 (2004).
[Crossref]

Jakobsen, C.

Jensen, J. B.

Jones, D. J.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[Crossref] [PubMed]

Keller, U.

Knight, J.

Knight, J. C.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

J. C. Knight, “Photonic crystal fibers,” Nature 424, 847–851 (2003).
[Crossref] [PubMed]

M. T. Myaing, J. Y. Ye, T. B. Norris, T. Thomas, J. R. Baker, W. J. Wadsworth, G. Bouwmans, J. C. Knight, and P. S. J. Russell, “Enhanced two-phot on biosensing with double-clad photonic crystal fibers,” Opt. Lett. 28, 1224–1226 (2003).
[Crossref] [PubMed]

W. J. Wadsworth, A. Ortigosa-Blanch, J. C. Knight, T. A. Birks, T. P. M. Mann, and P. St. J. Russell, “Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source,” J. Opt. Soc. Am. B 19, 2148–2155 (2002).
[Crossref]

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000).
[Crossref] [PubMed]

Ko, T. H.

Kobayashi, T.

Köhler, S.

Konorov, S.

Konorov, S. O.

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, “Cross-correlation FROG CARS with frequency-converting photonic-crystal fibers,” Phys. Rev. E 70, 057601 (2004).
[Crossref]

Koshiba, M.

Kotynski, R.

Krausz, F.

Kuhlmey, B.

Lederer, F.

Leviatan, Y.

Li, X. D.

Lim, H.

Limpert, J.

Malinowski, A.

Mann, T. P. M.

McPhedran, R.

Metzger, T.

Miret, J. J.

Monro, T. M.

Myaing, M. T.

Nielsen, K.

Nielsen, L. B.

Nilsson, J.

Nolte, S.

Noordegraaf, D.

Norris, T. B.

Omenetto, F. G.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

Ortigosa-Blanch, A.

Panajotov, K.

Paschotta, R.

Pedersen, L. H.

Percival, R.

Petersson, A.

Poletti, F.

Popov, S. V.

C. J. S. de Matos, S. V. Popov, A. B. Rulkov, J. R. Taylor, J. Broeng, T. P. Hansen, and V. P. Gapontsev, “All-Fiber Format Compression of Frequency Chirped Pulses in Air-Guiding Photonic Crystal Fibers,” Phys. Rev. Lett. 93, 103901 (2004).
[Crossref] [PubMed]

Price, J. H. V.

Ranka, J. K.

Reeves, W.

Reeves, W. H.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

Rhanta, R. K.

Richardson, D. J.

Riishede, J.

Roberts, P.

Rulkov, A. B.

C. J. S. de Matos, S. V. Popov, A. B. Rulkov, J. R. Taylor, J. Broeng, T. P. Hansen, and V. P. Gapontsev, “All-Fiber Format Compression of Frequency Chirped Pulses in Air-Guiding Photonic Crystal Fibers,” Phys. Rev. Lett. 93, 103901 (2004).
[Crossref] [PubMed]

Russell, P.

Russell, P. S. J.

Russell, P. St. J.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

P. St. J. Russell, “Photonic crystal fibers,” Science 299, 358–362 (2003).
[Crossref] [PubMed]

W. J. Wadsworth, A. Ortigosa-Blanch, J. C. Knight, T. A. Birks, T. P. M. Mann, and P. St. J. Russell, “Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source,” J. Opt. Soc. Am. B 19, 2148–2155 (2002).
[Crossref]

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000).
[Crossref] [PubMed]

Sahu, J. K.

Saitoh, K.

Scalora, M.

Schreiber, T.

Serebryannikov, E.

Serebryannikov, E. E.

Silvestre, E.

Skryabin, D. V.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

Sørensen, T.

Stentz, A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[Crossref] [PubMed]

Stentz, A. J.

Südmeyer, T.

Szpulak, M.

Taylor, A. J.

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

Taylor, J. R.

C. J. S. de Matos, S. V. Popov, A. B. Rulkov, J. R. Taylor, J. Broeng, T. P. Hansen, and V. P. Gapontsev, “All-Fiber Format Compression of Frequency Chirped Pulses in Air-Guiding Photonic Crystal Fibers,” Phys. Rev. Lett. 93, 103901 (2004).
[Crossref] [PubMed]

Teisset, C. Y.

Thomas, T.

Tomljenovic-Hanic, S.

Tse, V.

Tunnermann, T.

Tünnermann, A.

Udem, T.

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000).
[Crossref] [PubMed]

Udem, Th.

Th. Udem, R. Holzwarth, and T. W. Hänsch, “Optical Frequency Metrology,” Nature 416, 233–237 (2002).
[Crossref] [PubMed]

Urbanczyk, W.

Vienne, G.

Wadsworth, W.

Wadsworth, W. J.

Wilcox, S.

Windeler, R. S.

Wise, F.

Xu, C. L.

W. P. Huang and C. L. Xu, “Simulation of three-dimensional optical waveguides by a full-vector beam propagation method,” IEEE J. Quantum Electron. 29, 2639–2649 (1993).
[Crossref]

Ye, J. Y.

Zellmer, H.

Zheltikov, A.

Zheltikov, A. M.

Zhu, Z.

Appl. Opt. (1)

Appl. Phys. B (1)

A. M. Zheltikov, “Nanomanaging dispersion, nonlinearity, and gain of photonic-crystal fibers,” Appl. Phys. B 84, 69–74 (2006).
[Crossref]

IEEE J. Quantum Electron. (1)

W. P. Huang and C. L. Xu, “Simulation of three-dimensional optical waveguides by a full-vector beam propagation method,” IEEE J. Quantum Electron. 29, 2639–2649 (1993).
[Crossref]

J. Opt. Soc. Am. B (3)

Nature (3)

Th. Udem, R. Holzwarth, and T. W. Hänsch, “Optical Frequency Metrology,” Nature 416, 233–237 (2002).
[Crossref] [PubMed]

J. C. Knight, “Photonic crystal fibers,” Nature 424, 847–851 (2003).
[Crossref] [PubMed]

W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, “Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres,” Nature 424, 511–515 (2003).
[Crossref] [PubMed]

Opt. Express (16)

K. Furusawa, A. Malinowski, J. H. V. Price, T. M. Monro, J. K. Sahu, J. Nilsson, and D. J. Richardson, “Cladding pumped Ytterbium-doped fiber laser with holey inner and outer cladding,” Opt. Express 9, 714–720 (2001).
[Crossref] [PubMed]

W. Reeves, J. Knight, P. Russell, and P. Roberts, “Demonstration of ultra-flattened dispersion in photonic crystal fibers,” Opt. Express 10, 609–613 (2002).
[PubMed]

Z. Zhu and T. Brown, “Full-vectorial finite-difference analysis of microstructured optical fibers,” Opt. Express 10, 853–864 (2002).
[PubMed]

N. Florous, K. Saitoh, and M. Koshiba, “The role of artificial defects for engineering large effective mode area, flat chromatic dispersion, and low leakage losses in photonic crystal fibers: Towards high speed reconfigurable transmission platforms,” Opt. Express 14, 901–913 (2006).
[Crossref] [PubMed]

M. Szpulak, W. Urbanczyk, E. Serebryannikov, A. Zheltikov, A. Hochman, Y. Leviatan, R. Kotynski, and K. Panajotov, “Comparison of different methods for rigorous modeling of photonic crystal fibers,” Opt. Express 14, 5699–5714 (2006).
[Crossref] [PubMed]

J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, and A. Tünnermann,“All fiber chirped-pulse amplification system based on compression in air-guiding photonic bandgap fiber,” Opt. Express 11, 3332–3337 (2003).
[Crossref] [PubMed]

H. Lim and F. Wise, “Control of dispersion in a femtosecond ytterbium laser by use of hollow-core photonic bandgap fiber,” Opt. Express 12, 2231–2235 (2004)
[Crossref] [PubMed]

K. Saitoh, N. Florous, and M. Koshiba, “Ultra-flattened chromatic dispersion controllability using a defected-core photonic crystal fiber with low confinement losses,” Opt. Express 13, 8365–8371 (2005).
[Crossref] [PubMed]

C. Brooks and F. Di Teodoro, “1-mJ energy, 1-MW peak-power, 10-W average-power, spectrally narrow, diffraction-limited pulses from a photonic-crystal fiber amplifier,” Opt. Express 13, 8999–9002 (2005).
[Crossref] [PubMed]

H. Lim, F. Ilday, and F. Wise, “Femtosecond ytterbium fiber laser with photonic crystal fiber for dispersion control,” Opt. Express 10, 1497–1502 (2002)
[PubMed]

W. Wadsworth, R. Percival, G. Bouwmans, J. Knight, and P. Russell, “High power air-clad photonic crystal fibre laser,” Opt. Express 11, 48–53 (2003)
[Crossref] [PubMed]

J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, T. Tunnermann, R. Iliew, F. Lederer, J. Broeng, G. Vienne, A. Petersson, and C. Jakobsen, “High-power air-clad large-mode-area photonic crystal fiber laser,” Opt. Express 11, 818–823 (2003).
[Crossref] [PubMed]

S. Wilcox, L. Botten, C. de Sterke, B. Kuhlmey, R. McPhedran, D. Fussell, and S. Tomljenovic-Hanic, “Long wavelength behavior of the fundamental mode in microstructured optical fibers,” Opt. Express 13, 1978–1984 (2005).
[Crossref] [PubMed]

S. Konorov, A. Zheltikov, and M. Scalora, “Photonic-crystal fiber as a multifunctional optical sensor and sample collector,” Opt. Express 13, 3454–3459 (2005).
[Crossref] [PubMed]

F. Poletti, V. Finazzi, T. M. Monro, N. G. R. Broderick, V. Tse, and D. J. Richardson, “Inverse design and fabrication tolerances of ultra-flattened dispersion holey fibers,” Opt. Express 13, 3728–3736 (2005).
[Crossref] [PubMed]

C. Y. Teisset, N. Ishii, T. Fuji, T. Metzger, S. Köhler, R. Holzwarth, A. Baltuska, A. M. Zheltikov, and F. Krausz, “Soliton-based pump.seed synchronization for few-cycle OPCPA,” Opt. Express 13, 6550–6557 (2005).
[Crossref] [PubMed]

Opt. Lett. (9)

F. Di Teodoro and C. Brooks, “1.1 MW peak-power, 7 W average-power, high-spectral brightness, diffraction-limited pulses from a photonic crystal fiber amplifier,” Opt. Lett. 30, 2694–2696 (2005).
[Crossref] [PubMed]

M. T. Myaing, J. Y. Ye, T. B. Norris, T. Thomas, J. R. Baker, W. J. Wadsworth, G. Bouwmans, J. C. Knight, and P. S. J. Russell, “Enhanced two-phot on biosensing with double-clad photonic crystal fibers,” Opt. Lett. 28, 1224–1226 (2003).
[Crossref] [PubMed]

T. Südmeyer, F. Brunner, E. Innerhofer, R. Paschotta, K. Furusawa, J. C. Baggett, T. M. Monro, D. J. Richardson, and U. Keller, “Nonlinear femtosecond pulse compression at high average power levels by use of a large-mode-area holey fiber,” Opt. Lett. 28, 1951–1953 (2003).
[Crossref] [PubMed]

K. Saitoh, N. J. Florous, and M. Koshiba, “Theoretical realization of holey fiber with flat chromatic dispersion and large mode area: an intriguing defected approach,” Opt. Lett. 31, 26–28 (2006).
[Crossref] [PubMed]

J. B. Jensen, L. H. Pedersen, P. E. Hoiby, L. B. Nielsen, T. P. Hansen, J. R. Folkenberg, J. Riishede, D. Noordegraaf, K. Nielsen, A. Carlsen, and A. Bjarklev, “Photonic crystal fiber based evanescent-wave sensor for detection of biomolecules in aqueous solutions,” Opt. Lett. 29, 1974–1976 (2004).
[Crossref] [PubMed]

A. Baltuska, T. Fuji, and T. Kobayashi, “Self-referencing of the carrier-envelope slip in a 6-fs visible parametric amplifier,” Opt. Lett. 27, 1241–1243 (2002).
[Crossref]

J. K. Ranka, R. S. Windeler, and A. J. Stentz, “Visible continuum generation in air-silica microstructure optical fibers with anomalous dispersion at 800 nm,” Opt. Lett. 25, 25–27 (2000).
[Crossref]

A. Ferrando, E. Silvestre, J. J. Miret, and P. Andres, “Nearly zero ultraflattened dispersion in photonic crystal fibers,” Opt. Lett. 25, 790–792 (2000).
[Crossref]

I. Hartl, X. D. Li, C. Chudoba, R. K. Rhanta, T. H. Ko, J. G. Fujimoto, J. K. Ranka, and R. S. Windeler, “Ultrahigh-resolution optical coherence tomography using continuum generation in an air-silica microstructure optical fiber,” Opt. Lett. 26, 608–610 (2001).
[Crossref]

Phys. Rev. E (1)

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, “Cross-correlation FROG CARS with frequency-converting photonic-crystal fibers,” Phys. Rev. E 70, 057601 (2004).
[Crossref]

Phys. Rev. Lett. (2)

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000).
[Crossref] [PubMed]

C. J. S. de Matos, S. V. Popov, A. B. Rulkov, J. R. Taylor, J. Broeng, T. P. Hansen, and V. P. Gapontsev, “All-Fiber Format Compression of Frequency Chirped Pulses in Air-Guiding Photonic Crystal Fibers,” Phys. Rev. Lett. 93, 103901 (2004).
[Crossref] [PubMed]

Phys. Uspekhi (1)

A. M. Zheltikov, “Nonlinear optics of microstructure fibers,” Phys. Uspekhi 47, 69–98 (2004).
[Crossref]

Science (2)

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science 288, 635–639 (2000).
[Crossref] [PubMed]

P. St. J. Russell, “Photonic crystal fibers,” Science 299, 358–362 (2003).
[Crossref] [PubMed]

Other (2)

Photonic Crystals, Special issue of Applied Physics B 81, nos. 2/3 (2005), ed. by A.M. Zheltikov.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 2001).

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Figures (6)

Fig. 1.
Fig. 1. Sketch of a photonic-crystal fiber with a solid core modified by a ring of six nanosize hole defects: d is the diameter of air holes in the PCF cladding, Λ is the distance between the centers of air holes in the PCF cladding, d a is the diameter of nanohole defects, and R is the distance of the center of nanoholes from the center of the fiber core. The circle shows the effective size of the modified fiber core.
Fig. 2.
Fig. 2. Field-intensity profiles of 1.5-μm radiation in (a) a PCF without air-hole defects in the fiber core and NAHD-modified PCFs with (b - f) R = 1.3 μm and (g - k) and R = 1.5 μm. The diameter of NAHDs is (b, g) 200 nm, (c, h) 400 nm, (d, i) 500 nm, (e, j) 550 nm, (f, k) 600 nm. The pitch of the PCF cladding is Λ = 2.3 μm. The diameter of air holes in the cladding is d = 2.3 μm.
Fig. 3.
Fig. 3. Wavelength dependences of the group-velocity dispersion for the fundamental guided mode of 1.5-μm radiation in NAHD-modified PCFs with (a) R = 1.3 μm and (b) R = 1.5 μm and the diameter of NAHDs ranging from 0 to 550 nm. The pitch of the PCF cladding is Λ = 2.3 μm.
Fig. 4.
Fig. 4. Wavelength dependences of the effective mode area for the fundamental guided mode of 1.5-μm radiation in NAHD-modified PCFs with (a) R = 1.3 μm and (b) R = 1.5 μm and the diameter of NAHDs ranging from 0 to 550 nm. The pitch of the PCF cladding is Λ = 2.3 μm.
Fig. 5.
Fig. 5. Wavelength dependences of (1) the material GVD of fused silica, D m, and (2–4) the waveguide GVD component D w, and (5–7) the total GVD D = D m + D w for an NAHD-modified PCF with (a) R = 1.3 μm and (b) R = 1.5 μm and d a = 300 nm (2, 5), 400 nm (3, 6), and 500 nm (4, 7).
Fig. 6.
Fig. 6. Wavelength dependences of the refractive index of fused silica (PCF material), the fundamental space-filling mode in the cladding of the considered type of PCF, and effective mode indices in the NAHD-modified PCF with (a) R = 1.3 μm and (b) R = 1.5 μm and the air-hole diameter d a ranging from 200 to 500 nm.

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