Abstract

Qualitative arguments of the Gaussian-mode theory and numerical solution of vectorial wave equations are used to demonstrate that arrays of submicrometer air holes can significantly modify the properties of guided modes in optical fibers, enabling a fine tuning of fiber dispersion, nonlinearity, and gain. Fiber dispersion nanomanagement solutions are shown to provide ultraflattened group-velocity dispersion profiles and control the fiber nonlinearity and gain.

© 2006 Optical Society of America

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2005 (5)

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. V. Yakimanskii, and A. M. Zheltikov, "Probing resonant nonlinearities in organic materials using photonic-crystal fiber frequency converters," Chem. Phys. Lett. 405, 310-313 (2005).
[CrossRef]

E. E. Serebryannikov, A. M. Zheltikov, N. Ishii, C. Y. Teisset, S. Köhler, T. Fuji, T. Metzger, F. Krausz, and A. Baltuska, "Soliton self-frequency shift of 6-fs pulses in photonic-crystal fibers," Appl. Phys. B 81, 585-588 (2005).
[CrossRef]

J. G. Rarity, J. Fulconis, J. Duligall, W. J. Wadsworth, and P. S. J. Russell, "Photonic crystal fiber source of correlated photon pairs," Opt. Express 13, 534-544 (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]

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]

2004 (6)

S. O. Konorov, E. E. Serebryannikov, A. M. Zheltikov, P. Zhou, A. P. Tarasevitch, and D. von der Linde, "Generation of femtosecond anti-Stokes pulses through phase-matched parametric four-wave mixing in a photonic crystal fiber," Opt. Lett. 29, 1545-1547 (2004).
[CrossRef] [PubMed]

A. M. Zheltikov, "Nonlinear optics of microstructure fibers," Phys. Usp. 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]

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. B. Fedotov, D. A. Sidorov-Biryukov, L. A. Mel'nikov, A. V. Shcherbakov, I. Bugar, D. Chorvat, Jr., F. Uherek, D. Chorvat, and A. M. Zheltikov, "Anti-Stokes generation in guided modes of photonic-crystal fibers modified with an array of nanoholes," Laser Phys. Lett. 1, 402-405 (2004).
[CrossRef]

H. Kano and H. Hamaguchi, "Femtosecond coherent anti-Stokes Raman scattering spectroscopy using a supercontinuum generated from a photonic crystal fiber," Appl. Phys. Lett. 85, 4298-4300 (2004).
[CrossRef]

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Cross-correlation frequency-resolved optical gating coherent anti-Stokes Raman scattering with frequency-converting photonic-crystal fibers," Phys. Rev. E 70, 057601 (2004).
[CrossRef]

2003 (10)

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]

T. Yamamoto, H. Kubota, S. Kawanishi, M. Tanaka, and S. Yamaguchi, "Supercontinuum generation at 1.55 m in a dispersion-flattened polarization-maintaining photonic crystal fiber," Opt. Express 11, 1537-1540 (2003).
[CrossRef] [PubMed]

H. N. Paulsen, K. M. Hilligsøe, J. Thøgersen, S. R. Keiding, and J. J. Larsen, "Coherent anti-Stokes Raman scattering microscopy with a photonic crystal fiber based light source," Opt. Lett. 28, 1123-1125 (2003).
[CrossRef] [PubMed]

S. O. Konorov and A. M. Zheltikov, "Frequency conversion of subnanojoule femtosecond laser pulses in a microstructure fiber for photochromism initiation," Opt. Express 11, 2440-2445 (2003).
[CrossRef] [PubMed]

D. A. Akimov, E. E. Serebryannikov, A. M. Zheltikov, M. Schmitt, R. Maksimenka, W. Kiefer, K. V. Dukel'skii, V. S. Shevandin, and Yu. N. Kondrat'ev, "Efficient anti-Stokes generation through phase-matched four-wave mixing in higher-order modes of a microstructure fiber," Opt. Lett. 28, 1948-1950 (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]

H. Kano and H. Hamaguchi, "Characterization of a supercontinuum generated from a photonic crystal fiber and its application to coherent Raman spectroscopy," Opt. Lett. 28, 2360-2362 (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]

2002 (6)

A. B. Fedotov, A. N. Naumov, I. Bugar, D. Chorvat, Jr., D. A. Sidorov-Biryukov, D. Chorvat, and A. M. Zheltikov, "Supercontinuum generation in photonic-molecule modes of microstructure fibers," IEEE J. Sel. Top. Quantum Electron. 8, 665-674 (2002).
[CrossRef]

Th. Udem, R. Holzwarth, and T. W. Hänsch, "Optical frequency metrology," Nature (London) 416, 233-237 (2002).
[CrossRef]

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]

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

S. O. Konorov, A. B. Fedotov, O. A. Kolevatova, V. I. Beloglazov, N. B. Skibina, A. V. Shcherbakov, and A. M. Zheltikov, "Guided modes of hollow photonic-crystal fibers," JETP Lett. 76, 341-345 (2002).
[CrossRef]

F. Benabid, J. C. Knight, G. Antonopoulos, and P. St. J. Russell, "Stimulated Raman scattering in hydrogen-filled hollow-core photonic crystal fiber," Science 298, 399-402 (2002).
[CrossRef] [PubMed]

2001 (4)

2000 (7)

T. M. Monro, D. J. Richardson, N. G. R. Broderick, and P. J. Bennet, "Modeling large air fraction holey optical fibers," J. Lightwave Technol. 18, 50-56 (2000).
[CrossRef]

A. Ortigosa-Blanch, J. C. Knight, W. J. Wadsworth, J. Arriaga, B. J. Mangan, T. A. Birks, and P. St. J. Russell, "Highly birefringent photonic crystal fibers," Opt. Lett. 25, 1325-1327 (2000).
[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]

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]

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]

S. A. Diddams, D. J. Jones, J. Ye, S. T. Cundiff, J. L. Hall, J. K. Ranka, R. S. Windeler, R. Holzwarth, T. Udem, and T. W. Hänsch, "Direct link between microwave and optical frequencies with a 300 THz femtosecond laser comb," Phys. Rev. Lett. 84, 5102-5105 (2000).
[CrossRef] [PubMed]

1999 (1)

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

1998 (2)

J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, "Photonic bandgap guidance in optical fibers," Science 282, 1476-1478 (1998).
[CrossRef] [PubMed]

J. C. Knight, T. A. Birks, R. F. Cregan, P. St. J. Russell, and J.-P. de Sandro, "Large mode area photonic crystal fiber," Electron. Lett. 13, 1347-1348 (1998).
[CrossRef]

1997 (1)

1996 (1)

Akimov, D. A.

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. V. Yakimanskii, and A. M. Zheltikov, "Probing resonant nonlinearities in organic materials using photonic-crystal fiber frequency converters," Chem. Phys. Lett. 405, 310-313 (2005).
[CrossRef]

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. B. Fedotov, D. A. Sidorov-Biryukov, L. A. Mel'nikov, A. V. Shcherbakov, I. Bugar, D. Chorvat, Jr., F. Uherek, D. Chorvat, and A. M. Zheltikov, "Anti-Stokes generation in guided modes of photonic-crystal fibers modified with an array of nanoholes," Laser Phys. Lett. 1, 402-405 (2004).
[CrossRef]

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Cross-correlation frequency-resolved optical gating coherent anti-Stokes Raman scattering with frequency-converting photonic-crystal fibers," Phys. Rev. E 70, 057601 (2004).
[CrossRef]

D. A. Akimov, E. E. Serebryannikov, A. M. Zheltikov, M. Schmitt, R. Maksimenka, W. Kiefer, K. V. Dukel'skii, V. S. Shevandin, and Yu. N. Kondrat'ev, "Efficient anti-Stokes generation through phase-matched four-wave mixing in higher-order modes of a microstructure fiber," Opt. Lett. 28, 1948-1950 (2003).
[CrossRef] [PubMed]

Alfimov, M. V.

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. V. Yakimanskii, and A. M. Zheltikov, "Probing resonant nonlinearities in organic materials using photonic-crystal fiber frequency converters," Chem. Phys. Lett. 405, 310-313 (2005).
[CrossRef]

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Cross-correlation frequency-resolved optical gating coherent anti-Stokes Raman scattering with frequency-converting photonic-crystal fibers," Phys. Rev. E 70, 057601 (2004).
[CrossRef]

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. B. Fedotov, D. A. Sidorov-Biryukov, L. A. Mel'nikov, A. V. Shcherbakov, I. Bugar, D. Chorvat, Jr., F. Uherek, D. Chorvat, and A. M. Zheltikov, "Anti-Stokes generation in guided modes of photonic-crystal fibers modified with an array of nanoholes," Laser Phys. Lett. 1, 402-405 (2004).
[CrossRef]

Allan, D. C.

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

Andres, M. V.

Andres, P.

Antonopoulos, G.

F. Benabid, J. C. Knight, G. Antonopoulos, and P. St. J. Russell, "Stimulated Raman scattering in hydrogen-filled hollow-core photonic crystal fiber," Science 298, 399-402 (2002).
[CrossRef] [PubMed]

Arriaga, J.

Atkin, D. M.

Baggett, J. C.

Baltuska, A.

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]

E. E. Serebryannikov, A. M. Zheltikov, N. Ishii, C. Y. Teisset, S. Köhler, T. Fuji, T. Metzger, F. Krausz, and A. Baltuska, "Soliton self-frequency shift of 6-fs pulses in photonic-crystal fibers," Appl. Phys. B 81, 585-588 (2005).
[CrossRef]

Beloglazov, V. I.

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S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. V. Yakimanskii, and A. M. Zheltikov, "Probing resonant nonlinearities in organic materials using photonic-crystal fiber frequency converters," Chem. Phys. Lett. 405, 310-313 (2005).
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S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Cross-correlation frequency-resolved optical gating coherent anti-Stokes Raman scattering with frequency-converting photonic-crystal fibers," Phys. Rev. E 70, 057601 (2004).
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H. Kano and H. Hamaguchi, "Femtosecond coherent anti-Stokes Raman scattering spectroscopy using a supercontinuum generated from a photonic crystal fiber," Appl. Phys. Lett. 85, 4298-4300 (2004).
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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).
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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).
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A. Ortigosa-Blanch, J. C. Knight, W. J. Wadsworth, J. Arriaga, B. J. Mangan, T. A. Birks, and P. St. J. Russell, "Highly birefringent photonic crystal fibers," Opt. Lett. 25, 1325-1327 (2000).
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R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic bandgap guidance of light in air," Science 285, 1537-1539 (1999).
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S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. V. Yakimanskii, and A. M. Zheltikov, "Probing resonant nonlinearities in organic materials using photonic-crystal fiber frequency converters," Chem. Phys. Lett. 405, 310-313 (2005).
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S. O. Konorov, E. E. Serebryannikov, A. M. Zheltikov, P. Zhou, A. P. Tarasevitch, and D. von der Linde, "Generation of femtosecond anti-Stokes pulses through phase-matched parametric four-wave mixing in a photonic crystal fiber," Opt. Lett. 29, 1545-1547 (2004).
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[CrossRef]

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

Ranka, J. K.

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]

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]

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]

S. A. Diddams, D. J. Jones, J. Ye, S. T. Cundiff, J. L. Hall, J. K. Ranka, R. S. Windeler, R. Holzwarth, T. Udem, and T. W. Hänsch, "Direct link between microwave and optical frequencies with a 300 THz femtosecond laser comb," Phys. Rev. Lett. 84, 5102-5105 (2000).
[CrossRef] [PubMed]

Rarity, J. G.

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.

Roberts, P. J.

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

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. 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]

F. Benabid, J. C. Knight, G. Antonopoulos, and P. St. J. Russell, "Stimulated Raman scattering in hydrogen-filled hollow-core photonic crystal fiber," Science 298, 399-402 (2002).
[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]

A. Ortigosa-Blanch, J. C. Knight, W. J. Wadsworth, J. Arriaga, B. J. Mangan, T. A. Birks, and P. St. J. Russell, "Highly birefringent photonic crystal fibers," Opt. Lett. 25, 1325-1327 (2000).
[CrossRef]

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

J. C. Knight, T. A. Birks, R. F. Cregan, P. St. J. Russell, and J.-P. de Sandro, "Large mode area photonic crystal fiber," Electron. Lett. 13, 1347-1348 (1998).
[CrossRef]

J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, "Photonic bandgap guidance in optical fibers," Science 282, 1476-1478 (1998).
[CrossRef] [PubMed]

J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, "All-silica single-mode optical fiber with photonic crystal cladding," Opt. Lett. 21, 1547-1549 (1996).
[CrossRef] [PubMed]

Saitoh, K.

Schmitt, M.

Schreiber, T.

Serebryannikov, E. E.

E. E. Serebryannikov, A. M. Zheltikov, N. Ishii, C. Y. Teisset, S. Köhler, T. Fuji, T. Metzger, F. Krausz, and A. Baltuska, "Soliton self-frequency shift of 6-fs pulses in photonic-crystal fibers," Appl. Phys. B 81, 585-588 (2005).
[CrossRef]

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Cross-correlation frequency-resolved optical gating coherent anti-Stokes Raman scattering with frequency-converting photonic-crystal fibers," Phys. Rev. E 70, 057601 (2004).
[CrossRef]

S. O. Konorov, E. E. Serebryannikov, A. M. Zheltikov, P. Zhou, A. P. Tarasevitch, and D. von der Linde, "Generation of femtosecond anti-Stokes pulses through phase-matched parametric four-wave mixing in a photonic crystal fiber," Opt. Lett. 29, 1545-1547 (2004).
[CrossRef] [PubMed]

D. A. Akimov, E. E. Serebryannikov, A. M. Zheltikov, M. Schmitt, R. Maksimenka, W. Kiefer, K. V. Dukel'skii, V. S. Shevandin, and Yu. N. Kondrat'ev, "Efficient anti-Stokes generation through phase-matched four-wave mixing in higher-order modes of a microstructure fiber," Opt. Lett. 28, 1948-1950 (2003).
[CrossRef] [PubMed]

Shcherbakov, A. V.

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. B. Fedotov, D. A. Sidorov-Biryukov, L. A. Mel'nikov, A. V. Shcherbakov, I. Bugar, D. Chorvat, Jr., F. Uherek, D. Chorvat, and A. M. Zheltikov, "Anti-Stokes generation in guided modes of photonic-crystal fibers modified with an array of nanoholes," Laser Phys. Lett. 1, 402-405 (2004).
[CrossRef]

S. O. Konorov, A. B. Fedotov, O. A. Kolevatova, V. I. Beloglazov, N. B. Skibina, A. V. Shcherbakov, and A. M. Zheltikov, "Guided modes of hollow photonic-crystal fibers," JETP Lett. 76, 341-345 (2002).
[CrossRef]

Shevandin, V. S.

Sidorov-Biryukov, D. A.

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. B. Fedotov, D. A. Sidorov-Biryukov, L. A. Mel'nikov, A. V. Shcherbakov, I. Bugar, D. Chorvat, Jr., F. Uherek, D. Chorvat, and A. M. Zheltikov, "Anti-Stokes generation in guided modes of photonic-crystal fibers modified with an array of nanoholes," Laser Phys. Lett. 1, 402-405 (2004).
[CrossRef]

A. B. Fedotov, A. N. Naumov, I. Bugar, D. Chorvat, Jr., D. A. Sidorov-Biryukov, D. Chorvat, and A. M. Zheltikov, "Supercontinuum generation in photonic-molecule modes of microstructure fibers," IEEE J. Sel. Top. Quantum Electron. 8, 665-674 (2002).
[CrossRef]

Silvestre, E.

Skibina, N. B.

S. O. Konorov, A. B. Fedotov, O. A. Kolevatova, V. I. Beloglazov, N. B. Skibina, A. V. Shcherbakov, and A. M. Zheltikov, "Guided modes of hollow photonic-crystal fibers," JETP Lett. 76, 341-345 (2002).
[CrossRef]

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]

Snyder, A. W.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, 1983).

Steel, M. J.

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.

Tanaka, M.

Tarasevitch, A. P.

S. O. Konorov, E. E. Serebryannikov, A. M. Zheltikov, P. Zhou, A. P. Tarasevitch, and D. von der Linde, "Generation of femtosecond anti-Stokes pulses through phase-matched parametric four-wave mixing in a photonic crystal fiber," Opt. Lett. 29, 1545-1547 (2004).
[CrossRef] [PubMed]

A. B. Fedotov, A. M. Zheltikov, A. P. Tarasevitch, and D. von der Linde, "Enhanced spectral broadening of short laser pulses in high-numerical-aperture holey fibers," Appl. Phys. B 73, 181-184 (2001).
[CrossRef]

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.

E. E. Serebryannikov, A. M. Zheltikov, N. Ishii, C. Y. Teisset, S. Köhler, T. Fuji, T. Metzger, F. Krausz, and A. Baltuska, "Soliton self-frequency shift of 6-fs pulses in photonic-crystal fibers," Appl. Phys. B 81, 585-588 (2005).
[CrossRef]

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]

Thøgersen, J.

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]

S. A. Diddams, D. J. Jones, J. Ye, S. T. Cundiff, J. L. Hall, J. K. Ranka, R. S. Windeler, R. Holzwarth, T. Udem, and T. W. Hänsch, "Direct link between microwave and optical frequencies with a 300 THz femtosecond laser comb," Phys. Rev. Lett. 84, 5102-5105 (2000).
[CrossRef] [PubMed]

Udem, Th.

Th. Udem, R. Holzwarth, and T. W. Hänsch, "Optical frequency metrology," Nature (London) 416, 233-237 (2002).
[CrossRef]

Uherek, F.

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. B. Fedotov, D. A. Sidorov-Biryukov, L. A. Mel'nikov, A. V. Shcherbakov, I. Bugar, D. Chorvat, Jr., F. Uherek, D. Chorvat, and A. M. Zheltikov, "Anti-Stokes generation in guided modes of photonic-crystal fibers modified with an array of nanoholes," Laser Phys. Lett. 1, 402-405 (2004).
[CrossRef]

von der Linde, D.

S. O. Konorov, E. E. Serebryannikov, A. M. Zheltikov, P. Zhou, A. P. Tarasevitch, and D. von der Linde, "Generation of femtosecond anti-Stokes pulses through phase-matched parametric four-wave mixing in a photonic crystal fiber," Opt. Lett. 29, 1545-1547 (2004).
[CrossRef] [PubMed]

A. B. Fedotov, A. M. Zheltikov, A. P. Tarasevitch, and D. von der Linde, "Enhanced spectral broadening of short laser pulses in high-numerical-aperture holey fibers," Appl. Phys. B 73, 181-184 (2001).
[CrossRef]

Wadsworth, W. J.

Windeler, R. S.

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]

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]

S. A. Diddams, D. J. Jones, J. Ye, S. T. Cundiff, J. L. Hall, J. K. Ranka, R. S. Windeler, R. Holzwarth, T. Udem, and T. W. Hänsch, "Direct link between microwave and optical frequencies with a 300 THz femtosecond laser comb," Phys. Rev. Lett. 84, 5102-5105 (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]

Wise, F. W.

Yakimanskii, A. V.

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. V. Yakimanskii, and A. M. Zheltikov, "Probing resonant nonlinearities in organic materials using photonic-crystal fiber frequency converters," Chem. Phys. Lett. 405, 310-313 (2005).
[CrossRef]

Yamaguchi, S.

Yamamoto, T.

Ye, J.

S. A. Diddams, D. J. Jones, J. Ye, S. T. Cundiff, J. L. Hall, J. K. Ranka, R. S. Windeler, R. Holzwarth, T. Udem, and T. W. Hänsch, "Direct link between microwave and optical frequencies with a 300 THz femtosecond laser comb," Phys. Rev. Lett. 84, 5102-5105 (2000).
[CrossRef] [PubMed]

Zellmer, H.

Zheltikov, A. M.

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. V. Yakimanskii, and A. M. Zheltikov, "Probing resonant nonlinearities in organic materials using photonic-crystal fiber frequency converters," Chem. Phys. Lett. 405, 310-313 (2005).
[CrossRef]

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]

E. E. Serebryannikov, A. M. Zheltikov, N. Ishii, C. Y. Teisset, S. Köhler, T. Fuji, T. Metzger, F. Krausz, and A. Baltuska, "Soliton self-frequency shift of 6-fs pulses in photonic-crystal fibers," Appl. Phys. B 81, 585-588 (2005).
[CrossRef]

A. M. Zheltikov, "Nonlinear optics of microstructure fibers," Phys. Usp. 47, 69-98 (2004).
[CrossRef]

S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Cross-correlation frequency-resolved optical gating coherent anti-Stokes Raman scattering with frequency-converting photonic-crystal fibers," Phys. Rev. E 70, 057601 (2004).
[CrossRef]

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. B. Fedotov, D. A. Sidorov-Biryukov, L. A. Mel'nikov, A. V. Shcherbakov, I. Bugar, D. Chorvat, Jr., F. Uherek, D. Chorvat, and A. M. Zheltikov, "Anti-Stokes generation in guided modes of photonic-crystal fibers modified with an array of nanoholes," Laser Phys. Lett. 1, 402-405 (2004).
[CrossRef]

S. O. Konorov, E. E. Serebryannikov, A. M. Zheltikov, P. Zhou, A. P. Tarasevitch, and D. von der Linde, "Generation of femtosecond anti-Stokes pulses through phase-matched parametric four-wave mixing in a photonic crystal fiber," Opt. Lett. 29, 1545-1547 (2004).
[CrossRef] [PubMed]

D. A. Akimov, E. E. Serebryannikov, A. M. Zheltikov, M. Schmitt, R. Maksimenka, W. Kiefer, K. V. Dukel'skii, V. S. Shevandin, and Yu. N. Kondrat'ev, "Efficient anti-Stokes generation through phase-matched four-wave mixing in higher-order modes of a microstructure fiber," Opt. Lett. 28, 1948-1950 (2003).
[CrossRef] [PubMed]

S. O. Konorov and A. M. Zheltikov, "Frequency conversion of subnanojoule femtosecond laser pulses in a microstructure fiber for photochromism initiation," Opt. Express 11, 2440-2445 (2003).
[CrossRef] [PubMed]

S. O. Konorov, A. B. Fedotov, O. A. Kolevatova, V. I. Beloglazov, N. B. Skibina, A. V. Shcherbakov, and A. M. Zheltikov, "Guided modes of hollow photonic-crystal fibers," JETP Lett. 76, 341-345 (2002).
[CrossRef]

A. B. Fedotov, A. N. Naumov, I. Bugar, D. Chorvat, Jr., D. A. Sidorov-Biryukov, D. Chorvat, and A. M. Zheltikov, "Supercontinuum generation in photonic-molecule modes of microstructure fibers," IEEE J. Sel. Top. Quantum Electron. 8, 665-674 (2002).
[CrossRef]

A. B. Fedotov, A. M. Zheltikov, A. P. Tarasevitch, and D. von der Linde, "Enhanced spectral broadening of short laser pulses in high-numerical-aperture holey fibers," Appl. Phys. B 73, 181-184 (2001).
[CrossRef]

Zhou, P.

Appl. Phys. B (2)

E. E. Serebryannikov, A. M. Zheltikov, N. Ishii, C. Y. Teisset, S. Köhler, T. Fuji, T. Metzger, F. Krausz, and A. Baltuska, "Soliton self-frequency shift of 6-fs pulses in photonic-crystal fibers," Appl. Phys. B 81, 585-588 (2005).
[CrossRef]

A. B. Fedotov, A. M. Zheltikov, A. P. Tarasevitch, and D. von der Linde, "Enhanced spectral broadening of short laser pulses in high-numerical-aperture holey fibers," Appl. Phys. B 73, 181-184 (2001).
[CrossRef]

Appl. Phys. Lett. (1)

H. Kano and H. Hamaguchi, "Femtosecond coherent anti-Stokes Raman scattering spectroscopy using a supercontinuum generated from a photonic crystal fiber," Appl. Phys. Lett. 85, 4298-4300 (2004).
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Chem. Phys. Lett. (1)

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. V. Yakimanskii, and A. M. Zheltikov, "Probing resonant nonlinearities in organic materials using photonic-crystal fiber frequency converters," Chem. Phys. Lett. 405, 310-313 (2005).
[CrossRef]

Electron. Lett. (1)

J. C. Knight, T. A. Birks, R. F. Cregan, P. St. J. Russell, and J.-P. de Sandro, "Large mode area photonic crystal fiber," Electron. Lett. 13, 1347-1348 (1998).
[CrossRef]

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

A. B. Fedotov, A. N. Naumov, I. Bugar, D. Chorvat, Jr., D. A. Sidorov-Biryukov, D. Chorvat, and A. M. Zheltikov, "Supercontinuum generation in photonic-molecule modes of microstructure fibers," IEEE J. Sel. Top. Quantum Electron. 8, 665-674 (2002).
[CrossRef]

J. Lightwave Technol. (1)

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

JETP Lett. (1)

S. O. Konorov, A. B. Fedotov, O. A. Kolevatova, V. I. Beloglazov, N. B. Skibina, A. V. Shcherbakov, and A. M. Zheltikov, "Guided modes of hollow photonic-crystal fibers," JETP Lett. 76, 341-345 (2002).
[CrossRef]

Laser Phys. Lett. (1)

S. O. Konorov, D. A. Akimov, A. A. Ivanov, M. V. Alfimov, A. B. Fedotov, D. A. Sidorov-Biryukov, L. A. Mel'nikov, A. V. Shcherbakov, I. Bugar, D. Chorvat, Jr., F. Uherek, D. Chorvat, and A. M. Zheltikov, "Anti-Stokes generation in guided modes of photonic-crystal fibers modified with an array of nanoholes," Laser Phys. Lett. 1, 402-405 (2004).
[CrossRef]

Nature (2)

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]

Nature (London) (1)

Th. Udem, R. Holzwarth, and T. W. Hänsch, "Optical frequency metrology," Nature (London) 416, 233-237 (2002).
[CrossRef]

Opt. Express (8)

A. Ferrando, E. Silvestre, P. Andres, J. J. Miret, and M. V. Andres, "Designing the properties of dispersion-flattened photonic crystal fibers," Opt. Express 9, 687-697 (2001).
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H. Lim, F. Ö. Ilday, and F. W. Wise, "Femtosecond ytterbium fiber laser with photonic crystal fiber for dispersion control," Opt. Express 10, 1497-1502 (2002).
[PubMed]

T. Yamamoto, H. Kubota, S. Kawanishi, M. Tanaka, and S. Yamaguchi, "Supercontinuum generation at 1.55 m in a dispersion-flattened polarization-maintaining photonic crystal fiber," Opt. Express 11, 1537-1540 (2003).
[CrossRef] [PubMed]

S. O. Konorov and A. M. Zheltikov, "Frequency conversion of subnanojoule femtosecond laser pulses in a microstructure fiber for photochromism initiation," Opt. Express 11, 2440-2445 (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).
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J. G. Rarity, J. Fulconis, J. Duligall, W. J. Wadsworth, and P. S. J. Russell, "Photonic crystal fiber source of correlated photon pairs," Opt. Express 13, 534-544 (2005).
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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]

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]

Opt. Lett. (12)

S. O. Konorov, E. E. Serebryannikov, A. M. Zheltikov, P. Zhou, A. P. Tarasevitch, and D. von der Linde, "Generation of femtosecond anti-Stokes pulses through phase-matched parametric four-wave mixing in a photonic crystal fiber," Opt. Lett. 29, 1545-1547 (2004).
[CrossRef] [PubMed]

D. A. Akimov, E. E. Serebryannikov, A. M. Zheltikov, M. Schmitt, R. Maksimenka, W. Kiefer, K. V. Dukel'skii, V. S. Shevandin, and Yu. N. Kondrat'ev, "Efficient anti-Stokes generation through phase-matched four-wave mixing in higher-order modes of a microstructure fiber," Opt. Lett. 28, 1948-1950 (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]

H. Kano and H. Hamaguchi, "Characterization of a supercontinuum generated from a photonic crystal fiber and its application to coherent Raman spectroscopy," Opt. Lett. 28, 2360-2362 (2003).
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H. N. Paulsen, K. M. Hilligsøe, J. Thøgersen, S. R. Keiding, and J. J. Larsen, "Coherent anti-Stokes Raman scattering microscopy with a photonic crystal fiber based light source," Opt. Lett. 28, 1123-1125 (2003).
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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]

T. A. Birks, J. C. Knight, and P. S. J. Russell, "Endlessly single-mode photonic crystal fiber," Opt. Lett. 22, 961-963 (1997).
[CrossRef] [PubMed]

J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, "All-silica single-mode optical fiber with photonic crystal cladding," Opt. Lett. 21, 1547-1549 (1996).
[CrossRef] [PubMed]

A. Ortigosa-Blanch, J. C. Knight, W. J. Wadsworth, J. Arriaga, B. J. Mangan, T. A. Birks, and P. St. J. Russell, "Highly birefringent photonic crystal fibers," Opt. Lett. 25, 1325-1327 (2000).
[CrossRef]

M. J. Steel and J. R. M. Osgood, "Elliptical-hole photonic crystal fibers," Opt. Lett. 26, 229-231 (2001).
[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 frequency-resolved optical gating coherent anti-Stokes Raman scattering with frequency-converting photonic-crystal fibers," Phys. Rev. E 70, 057601 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

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]

S. A. Diddams, D. J. Jones, J. Ye, S. T. Cundiff, J. L. Hall, J. K. Ranka, R. S. Windeler, R. Holzwarth, T. Udem, and T. W. Hänsch, "Direct link between microwave and optical frequencies with a 300 THz femtosecond laser comb," Phys. Rev. Lett. 84, 5102-5105 (2000).
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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. Usp. (1)

A. M. Zheltikov, "Nonlinear optics of microstructure fibers," Phys. Usp. 47, 69-98 (2004).
[CrossRef]

Science (5)

F. Benabid, J. C. Knight, G. Antonopoulos, and P. St. J. Russell, "Stimulated Raman scattering in hydrogen-filled hollow-core photonic crystal fiber," Science 298, 399-402 (2002).
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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).
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R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, "Single-mode photonic bandgap guidance of light in air," Science 285, 1537-1539 (1999).
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P. St. J. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
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Other (4)

A. Bjarklev, J. Broeng, and A. S. Bjarklev, Photonic Crystal Fibers (Kluwer Academic, 2003).
[CrossRef]

A.M.Zheltikov, ed., special issue on supercontinuum generation, Appl. Phys. B 77, 143-376 (2003).

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, 1983).

J. Hecht, The Laser Guidebook (McGraw-Hill, 1992).

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Figures (7)

Fig. 1
Fig. 1

(a) (c) (e) (g) PCF structures and (b) (d) (f) (h) their fundamental modes calculated by numerically solving the vectorial wave equations for light field components using the method of localized functions. (a) In an unperturbed fiber structure the period of air holes in the cladding is Λ = 2.25 μ m , and the diameter of air holes in the cladding is D = 0.59 Λ . The PCF and (b) its fundamental mode are modified with an array of six air holes located at a distance of 0.83 μ m from the fiber core. The diameter of air holes in the fiber core is (c),(d) 0.05 Λ ; (e),(f) 0.10 Λ ; and (g),(h) 0.15 Λ .

Fig. 2
Fig. 2

Optical waveguide modified by an array of holes: (a) a scanning electron microscopy image (the scale bar corresponds to 1 μ m ) and (b) a sketch of the generic PCF with an array of nanoholes in the core.

Fig. 3
Fig. 3

Factor F 1 shown as a function of the waveguide V parameter for σ ρ = 0.1 and different values of the ρ 0 ρ ratio: from top to bottom, ρ 0 ρ = 0.3 , 0.5, 0.7, and 0.9.

Fig. 4
Fig. 4

GVD as a function of the wavelength for (1) an unperturbed PCF and PCFs modified by an array of six air holes with diameters (2) 0.05 Λ , (3) 0.10 Λ , and (4) 0.15 Λ . The period of the structure in the PCF cladding is Λ = 2.25 μ m , and the diameter of air holes in the PCF cladding is D = 0.59 Λ . The centers of air holes are located at a distance of 0.83 μ m from the center of the PCF.

Fig. 5
Fig. 5

GVD as a function of the wavelength for (1) an unperturbed PCF (inset 1) and PCFs modified by an air hole located at the center of the fiber core (insets 2–4) with hole diameters (2) 0.20 Λ , (3) 0.27 Λ , and (4) 0.40 Λ . The period of the structure in the PCF cladding is Λ = 2.25 μ m , and the diameter of air holes in the PCF cladding is D = 0.9 Λ .

Fig. 6
Fig. 6

Factor F 2 shown as a function of the waveguide V parameter for σ ρ = 0.1 and different values of the ρ 0 ρ ratio: from top to bottom, ρ 0 ρ = 0.3 , 0.5, 0.7, and 0.9.

Fig. 7
Fig. 7

Factor F 3 as a function of the waveguide V parameter for σ ρ = 0.1 and different values of the ρ 0 ρ ratio: from top to bottom, ρ 0 ρ = 0.3 , 0.5, 0.7, and 0.9.

Equations (20)

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( Δ t + k 2 n 2 β 2 ) ψ = 0 ,
β β ¯ + k Σ ( n n ¯ ) ψ ¯ 2 d Σ Σ ψ ¯ 2 d Σ .
E ( x , y , z ) = E 0 F ( x , y ) e ( x , y ) exp ( i β ¯ z ) ,
H ( x , y , z ) = H 0 F ( x , y ) h ( x , y ) exp ( i β ¯ z ) ,
F ( r ) = F ( x , y ) = exp [ 1 2 ( r r 0 ) 2 ] ,
n 2 ( r ) = n 2 ( x , y ) = n core 2 [ 1 2 Δ f ( r ) ] ,
f ( r ) = { 0 , r a 1 , r > a } ,
r 0 = ρ ( 2 ln V ) 1 2 ,
V = k ρ n core ( 2 Δ ) 1 2
δ β = β β ¯ 24 π λ σ 2 ρ 2 δ n V 2 ρ 0 2 ρ 2 ln V .
δ β δ n ( 2 Δ ) 1 2 ρ n core F 1 ( σ ρ , ρ 0 ρ , V ) ,
F 1 ( σ ρ , ρ 0 ρ , V ) = 12 σ 2 ρ 2 V 1 2 ρ 0 2 ρ 2 ln V .
G g 0 i = 1 N θ i ψ ¯ 2 ( ρ i ) 2 Σ ψ ¯ 2 d Σ .
G g 0 F 2 ( σ ρ , ρ 0 ρ , V ) ,
F 2 ( σ ρ , ρ 0 ρ , V ) = 6 σ 2 ρ 2 V 2 ρ 0 2 r 2 ln V
γ = 2 π λ Σ n 2 ( x , y ) F ( x , y ) 4 d x d y [ Σ F ( x , y ) 2 d x d y ] 2 .
γ 0 k n ¯ 2 π ρ 2 ( 1 V ¯ 4 ) ln V .
δ γ 48 δ n 2 λ σ 2 ρ 4 ( ln V ) 2 V 4 ρ 0 2 ρ 2 ,
δ γ γ 0 δ n 2 n ¯ 2 F 3 ( σ ρ , ρ 0 ρ , V ) ,
F 3 ( σ ρ , ρ 0 ρ , V ) = 24 σ 2 ρ 2 ln V 1 V 4 V 4 r 0 2 ρ 2 .

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