Abstract

Raman-shifted solitons in a photonic-crystal fiber can serve as a pump field for phase-matched third-harmonic generation in a higher-order guided mode of the same fiber. Phase matching for this soliton–dispersive-wave mixing process differs in its physics and in its formal notation from the conventional phase matching for third-harmonic generation with a dispersive pump.

© 2006 Optical Society of America

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    [CrossRef]

2005

A. Efimov and A. J. Taylor, "Spectral-temporal dynamics of ultrashort Raman solitons and their role in third-harmonic generation in photonic crystal fibers," Appl. Phys. B 80, 721-725 (2005).
[CrossRef]

D. V. Skryabin and A. V. Yulin, "Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers," Phys. Rev. E 72, 016619 (2005).
[CrossRef]

S. O. Konorov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Polarization-sensitive non-3omega third-harmonic generation by femtosecond Cr: forsterite laser pulses in birefringent microchannel waveguides of photonic-crystal fibers," Appl. Phys. B 81, 219-223 (2005).
[CrossRef]

2004

2003

A. Efimov, A. Taylor, F. Omenetto, J. Knight, W. Wadsworth, and P. Russell, "Phase-matched third harmonic generation in microstructured fibers," Opt. Express 11, 2567-2576 (2003).
[CrossRef] [PubMed]

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

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]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancellation in photonic crystal fibers," Science 301, 1705-1708 (2003).
[CrossRef] [PubMed]

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

L. A. Golovan, L. P. Kuznetsova, A. B. Fedotov, S. O. Konorov, D. A. Sidorov-Biryukov, V. Y. Timoshenko, A. M. Zheltikov, and P. K. Kashkarov, "Nanocrystal-size-sensitive third-harmonic generation in nanostructured silicon," Appl. Phys. B 76, 429-433 (2003).
[CrossRef]

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

R. Guobin,W. Zhi, L. Shuqin, and J. Shuisheng, "Mode classification and degeneracy in photonic crystal fibers," Opt. Express 11, 1310-1321 (2003).
[CrossRef] [PubMed]

2002

2000

1999

1998

J. Squier, M. Muller, G. Brakenhoff, and K. R. Wilson, "Third harmonic generation microscopy," Opt. Express 3, 315-324 (1998).
[CrossRef] [PubMed]

A. Rundquist, C. G. Durfee III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, "Phase-matched generation of coherent soft x-rays," Science 280, 1412-1415 (1998).
[CrossRef] [PubMed]

1995

N. Akhmediev and M. Karlsson, "Cherenkov radiation emitted by solitons in optical fibers," Phys. Rev. A 51, 2602-2607 (1995).
[CrossRef] [PubMed]

1986

1985

E. M. Dianov, A. Y. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel'makh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).

1973

R. B. Miles and S. E. Harris, "Optical third-harmonic generation in alkali metal vapors," IEEE J. Quantum Electron. 9, 470-484 (1973).
[CrossRef]

1970

N. Bloembergen and A. J. Sievers, "Nonlinear optical properties of periodic laminar structures," Appl. Phys. Lett. 17, 483-486 (1970).
[CrossRef]

Agrawal, G. P.

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

Ahmad, F. R.

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

Akhmediev, N.

N. Akhmediev and M. Karlsson, "Cherenkov radiation emitted by solitons in optical fibers," Phys. Rev. A 51, 2602-2607 (1995).
[CrossRef] [PubMed]

Akimov, D. A.

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

Alfimov, M. V.

S. O. Konorov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Polarization-sensitive non-3omega third-harmonic generation by femtosecond Cr: forsterite laser pulses in birefringent microchannel waveguides of photonic-crystal fibers," Appl. Phys. B 81, 219-223 (2005).
[CrossRef]

A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Femtosecond pulses in nanophotonics," Phys. Usp. 47, 687-704 (2004).
[CrossRef]

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

Backus, S.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

A. Rundquist, C. G. Durfee III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, "Phase-matched generation of coherent soft x-rays," Science 280, 1412-1415 (1998).
[CrossRef] [PubMed]

Bartels, R. A.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

Beloglazov, V. I.

Bennet, P. J.

Biancalana, F.

A. Efimov, A. Taylor, F. Omenetto, A. Yulin, N. Joly, F. Biancalana, D. Skryabin, J. Knight, and P. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).
[CrossRef] [PubMed]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).
[CrossRef]

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.

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

Bloembergen, N.

N. Bloembergen and A. J. Sievers, "Nonlinear optical properties of periodic laminar structures," Appl. Phys. Lett. 17, 483-486 (1970).
[CrossRef]

N. Bloembergen, Nonlinear Optics (Benjamin, 1965).

Brakenhoff, G.

Broderick, N. G. R.

Campbell, S.

Chang, Z.

A. Rundquist, C. G. Durfee III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, "Phase-matched generation of coherent soft x-rays," Science 280, 1412-1415 (1998).
[CrossRef] [PubMed]

Christov, I. P.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

Dianov, E. M.

E. M. Dianov, A. Y. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel'makh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).

Durfee, C. G.

A. Rundquist, C. G. Durfee III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, "Phase-matched generation of coherent soft x-rays," Science 280, 1412-1415 (1998).
[CrossRef] [PubMed]

Efimov, A.

A. Efimov and A. J. Taylor, "Spectral-temporal dynamics of ultrashort Raman solitons and their role in third-harmonic generation in photonic crystal fibers," Appl. Phys. B 80, 721-725 (2005).
[CrossRef]

A. Efimov, A. Taylor, F. Omenetto, A. Yulin, N. Joly, F. Biancalana, D. Skryabin, J. Knight, and P. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).
[CrossRef] [PubMed]

A. Efimov, A. Taylor, F. Omenetto, J. Knight, W. Wadsworth, and P. Russell, "Phase-matched third harmonic generation in microstructured fibers," Opt. Express 11, 2567-2576 (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]

Fedotov, A. B.

Fomichev, A. A.

E. M. Dianov, A. Y. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel'makh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).

Gaeta, A. L.

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

Gallagher, M. T.

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

Golovan, L. A.

L. A. Golovan, L. P. Kuznetsova, A. B. Fedotov, S. O. Konorov, D. A. Sidorov-Biryukov, V. Y. Timoshenko, A. M. Zheltikov, and P. K. Kashkarov, "Nanocrystal-size-sensitive third-harmonic generation in nanostructured silicon," Appl. Phys. B 76, 429-433 (2003).
[CrossRef]

Gordon, J. P.

Grabchak, E. P.

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

Green, H.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

Guobin, R.

Harris, S. E.

R. B. Miles and S. E. Harris, "Optical third-harmonic generation in alkali metal vapors," IEEE J. Quantum Electron. 9, 470-484 (1973).
[CrossRef]

Herne, C.

A. Rundquist, C. G. Durfee III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, "Phase-matched generation of coherent soft x-rays," Science 280, 1412-1415 (1998).
[CrossRef] [PubMed]

Ivanov, A. A.

S. O. Konorov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Polarization-sensitive non-3omega third-harmonic generation by femtosecond Cr: forsterite laser pulses in birefringent microchannel waveguides of photonic-crystal fibers," Appl. Phys. B 81, 219-223 (2005).
[CrossRef]

A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Femtosecond pulses in nanophotonics," Phys. Usp. 47, 687-704 (2004).
[CrossRef]

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

Joly, N.

Kapteyn, H. C.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

A. Rundquist, C. G. Durfee III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, "Phase-matched generation of coherent soft x-rays," Science 280, 1412-1415 (1998).
[CrossRef] [PubMed]

Karasik, A. Y.

E. M. Dianov, A. Y. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel'makh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).

Karlsson, M.

N. Akhmediev and M. Karlsson, "Cherenkov radiation emitted by solitons in optical fibers," Phys. Rev. A 51, 2602-2607 (1995).
[CrossRef] [PubMed]

Kashkarov, P. K.

L. A. Golovan, L. P. Kuznetsova, A. B. Fedotov, S. O. Konorov, D. A. Sidorov-Biryukov, V. Y. Timoshenko, A. M. Zheltikov, and P. K. Kashkarov, "Nanocrystal-size-sensitive third-harmonic generation in nanostructured silicon," Appl. Phys. B 76, 429-433 (2003).
[CrossRef]

Knight, J.

Knight, J. C.

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancellation in photonic crystal fibers," Science 301, 1705-1708 (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. C. Knight, "Photonic crystal fibers," Nature 424, 847-851 (2003).
[CrossRef] [PubMed]

Koch, K. W.

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

Kolevatova, O. A.

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

Konorov, S. O.

S. O. Konorov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Polarization-sensitive non-3omega third-harmonic generation by femtosecond Cr: forsterite laser pulses in birefringent microchannel waveguides of photonic-crystal fibers," Appl. Phys. B 81, 219-223 (2005).
[CrossRef]

S. O. Konorov, A. B. Fedotov, V. P. Mitrokhin, V. I. Beloglazov, N. B. Skibina, A. V. Shcherbakov, E. Wintner, M. Scalora, and A. M. Zheltikov, "Laser ablation of dental tissues with picosecond pulses of 1.06-μm radiation transmitted through a hollow-core photonic-crystal fiber," Appl. Opt. 43, 2251-2256 (2004).
[CrossRef] [PubMed]

L. A. Golovan, L. P. Kuznetsova, A. B. Fedotov, S. O. Konorov, D. A. Sidorov-Biryukov, V. Y. Timoshenko, A. M. Zheltikov, and P. K. Kashkarov, "Nanocrystal-size-sensitive third-harmonic generation in nanostructured silicon," Appl. Phys. B 76, 429-433 (2003).
[CrossRef]

Kuznetsova, L. P.

L. A. Golovan, L. P. Kuznetsova, A. B. Fedotov, S. O. Konorov, D. A. Sidorov-Biryukov, V. Y. Timoshenko, A. M. Zheltikov, and P. K. Kashkarov, "Nanocrystal-size-sensitive third-harmonic generation in nanostructured silicon," Appl. Phys. B 76, 429-433 (2003).
[CrossRef]

Luan, F.

Mamyshev, P. V.

E. M. Dianov, A. Y. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel'makh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).

Mangan, B.

Mel'nikov, L. A.

Miles, R. B.

R. B. Miles and S. E. Harris, "Optical third-harmonic generation in alkali metal vapors," IEEE J. Quantum Electron. 9, 470-484 (1973).
[CrossRef]

Mitrokhin, V. P.

Mitschke, F. M.

Mollenauer, L. F.

Monro, T. M.

Muller, D.

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

Muller, M.

Murnane, M. M.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

A. Rundquist, C. G. Durfee III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, "Phase-matched generation of coherent soft x-rays," Science 280, 1412-1415 (1998).
[CrossRef] [PubMed]

Naumov, A. N.

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

A. N. Naumov, A. B. Fedotov, A. M. Zheltikov, V. V. Yakovlev, L. A. Mel'nikov, V. I. Beloglazov, N. B. Skibina, and A. V. Shcherbakov, "Enhanced chi(3) interactions of unamplified femtosecond Cr:forsterite laser pulses in photonic-crystal fibers," J. Opt. Soc. Am. B 19, 2183-2191 (2002).
[CrossRef]

Omenetto, F.

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]

Ouzounov, D. G.

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

Paul, A.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

Petrov, A. N.

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

Podshivalov, A. A.

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

Prokhorov, A. M.

E. M. Dianov, A. Y. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel'makh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).

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]

Reid, D.

Richardson, D. J.

Roberts, P.

Rundquist, A.

A. Rundquist, C. G. Durfee III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, "Phase-matched generation of coherent soft x-rays," Science 280, 1412-1415 (1998).
[CrossRef] [PubMed]

Russell, P.

Russell, P. St. J.

A. Yulin, D. V. Skryabin, and P. St. J. Russell, "Four-wave mixing of linear waves and solitons in fibers with higher-order dispersion," Opt. Lett. 29, 2411-2413 (2004).
[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]

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

P. St. J. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
[CrossRef] [PubMed]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancellation in photonic crystal fibers," Science 301, 1705-1708 (2003).
[CrossRef] [PubMed]

Scalora, M.

Serkin, V. N.

E. M. Dianov, A. Y. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel'makh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).

Shcherbakov, A. V.

Shen, Y. R.

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, 1984).

Shtykova, A. A.

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

Shuisheng, J.

Shuqin, L.

Sidorov-Biryukov, D. A.

L. A. Golovan, L. P. Kuznetsova, A. B. Fedotov, S. O. Konorov, D. A. Sidorov-Biryukov, V. Y. Timoshenko, A. M. Zheltikov, and P. K. Kashkarov, "Nanocrystal-size-sensitive third-harmonic generation in nanostructured silicon," Appl. Phys. B 76, 429-433 (2003).
[CrossRef]

Sievers, A. J.

N. Bloembergen and A. J. Sievers, "Nonlinear optical properties of periodic laminar structures," Appl. Phys. Lett. 17, 483-486 (1970).
[CrossRef]

Silberberg, Y.

Silcox, J.

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

Skibina, N. B.

Skryabin, D.

Skryabin, D. V.

D. V. Skryabin and A. V. Yulin, "Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers," Phys. Rev. E 72, 016619 (2005).
[CrossRef]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).
[CrossRef]

A. Yulin, D. V. Skryabin, and P. St. J. Russell, "Four-wave mixing of linear waves and solitons in fibers with higher-order dispersion," Opt. Lett. 29, 2411-2413 (2004).
[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]

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancellation in photonic crystal fibers," Science 301, 1705-1708 (2003).
[CrossRef] [PubMed]

Squier, J.

Stel'makh, M. F.

E. M. Dianov, A. Y. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel'makh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).

Taylor, A.

Taylor, A. J.

A. Efimov and A. J. Taylor, "Spectral-temporal dynamics of ultrashort Raman solitons and their role in third-harmonic generation in photonic crystal fibers," Appl. Phys. B 80, 721-725 (2005).
[CrossRef]

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]

Thomas, M. G.

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

Timoshenko, V. Y.

L. A. Golovan, L. P. Kuznetsova, A. B. Fedotov, S. O. Konorov, D. A. Sidorov-Biryukov, V. Y. Timoshenko, A. M. Zheltikov, and P. K. Kashkarov, "Nanocrystal-size-sensitive third-harmonic generation in nanostructured silicon," Appl. Phys. B 76, 429-433 (2003).
[CrossRef]

Tobey, R.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

Venkataraman, N.

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

Wadsworth, W.

Wadsworth, W. J.

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

Weiman, S.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (2003).
[CrossRef] [PubMed]

Williams, D.

Wilson, K. R.

Wintner, E.

Xiao, D.

Yakovlev, V. V.

Yelin, D.

Yulin, A.

Yulin, A. V.

D. V. Skryabin and A. V. Yulin, "Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers," Phys. Rev. E 72, 016619 (2005).
[CrossRef]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).
[CrossRef]

Zheltikov, A. M.

S. O. Konorov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Polarization-sensitive non-3omega third-harmonic generation by femtosecond Cr: forsterite laser pulses in birefringent microchannel waveguides of photonic-crystal fibers," Appl. Phys. B 81, 219-223 (2005).
[CrossRef]

S. O. Konorov, A. B. Fedotov, V. P. Mitrokhin, V. I. Beloglazov, N. B. Skibina, A. V. Shcherbakov, E. Wintner, M. Scalora, and A. M. Zheltikov, "Laser ablation of dental tissues with picosecond pulses of 1.06-μm radiation transmitted through a hollow-core photonic-crystal fiber," Appl. Opt. 43, 2251-2256 (2004).
[CrossRef] [PubMed]

A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Femtosecond pulses in nanophotonics," Phys. Usp. 47, 687-704 (2004).
[CrossRef]

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

L. A. Golovan, L. P. Kuznetsova, A. B. Fedotov, S. O. Konorov, D. A. Sidorov-Biryukov, V. Y. Timoshenko, A. M. Zheltikov, and P. K. Kashkarov, "Nanocrystal-size-sensitive third-harmonic generation in nanostructured silicon," Appl. Phys. B 76, 429-433 (2003).
[CrossRef]

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

A. N. Naumov, A. B. Fedotov, A. M. Zheltikov, V. V. Yakovlev, L. A. Mel'nikov, V. I. Beloglazov, N. B. Skibina, and A. V. Shcherbakov, "Enhanced chi(3) interactions of unamplified femtosecond Cr:forsterite laser pulses in photonic-crystal fibers," J. Opt. Soc. Am. B 19, 2183-2191 (2002).
[CrossRef]

Zhi, W.

Appl. Opt.

Appl. Phys. B

S. O. Konorov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Polarization-sensitive non-3omega third-harmonic generation by femtosecond Cr: forsterite laser pulses in birefringent microchannel waveguides of photonic-crystal fibers," Appl. Phys. B 81, 219-223 (2005).
[CrossRef]

A. Efimov and A. J. Taylor, "Spectral-temporal dynamics of ultrashort Raman solitons and their role in third-harmonic generation in photonic crystal fibers," Appl. Phys. B 80, 721-725 (2005).
[CrossRef]

L. A. Golovan, L. P. Kuznetsova, A. B. Fedotov, S. O. Konorov, D. A. Sidorov-Biryukov, V. Y. Timoshenko, A. M. Zheltikov, and P. K. Kashkarov, "Nanocrystal-size-sensitive third-harmonic generation in nanostructured silicon," Appl. Phys. B 76, 429-433 (2003).
[CrossRef]

D. A. Akimov, A. A. Ivanov, A. N. Naumov, O. A. Kolevatova, M. V. Alfimov, T. A. Birks, W. J. Wadsworth, P. St. J. Russell, A. A. Podshivalov, and A. M. Zheltikov, "Generation of a spectrally asymmetric third harmonic with unamplified 30-fs Cr:forsterite laser pulses in a tapered fiber," Appl. Phys. B 76, 515-519 (2003).
[CrossRef]

Appl. Phys. Lett.

N. Bloembergen and A. J. Sievers, "Nonlinear optical properties of periodic laminar structures," Appl. Phys. Lett. 17, 483-486 (1970).
[CrossRef]

IEEE J. Quantum Electron.

R. B. Miles and S. E. Harris, "Optical third-harmonic generation in alkali metal vapors," IEEE J. Quantum Electron. 9, 470-484 (1973).
[CrossRef]

J. Lightwave Technol.

J. Opt. Soc. Am. B

J. Raman Spectrosc.

D. A. Akimov, A. A. Ivanov, M. V. Alfimov, E. P. Grabchak, A. A. Shtykova, A. N. Petrov, A. A. Podshivalov, and A. M. Zheltikov, "J-aggregation visualized with two-photon-resonant third-harmonic generation," J. Raman Spectrosc. 34, 1007-1012 (2003).
[CrossRef]

JETP Lett.

E. M. Dianov, A. Y. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel'makh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).

Nature

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, "Quasi-phase-matched generation of coherent extreme-ultraviolet light," Nature 421, 51-52 (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]

Opt. Express

Opt. Lett.

Phys. Rev. A

N. Akhmediev and M. Karlsson, "Cherenkov radiation emitted by solitons in optical fibers," Phys. Rev. A 51, 2602-2607 (1995).
[CrossRef] [PubMed]

Phys. Rev. E

D. V. Skryabin and A. V. Yulin, "Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers," Phys. Rev. E 72, 016619 (2005).
[CrossRef]

F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).
[CrossRef]

Phys. Usp.

A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Femtosecond pulses in nanophotonics," Phys. Usp. 47, 687-704 (2004).
[CrossRef]

Science

D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancellation in photonic crystal fibers," Science 301, 1705-1708 (2003).
[CrossRef] [PubMed]

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

A. Rundquist, C. G. Durfee III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, "Phase-matched generation of coherent soft x-rays," Science 280, 1412-1415 (1998).
[CrossRef] [PubMed]

P. St. J. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
[CrossRef] [PubMed]

Other

C.M.Bowden and A.M.Zheltikov, eds., "Nonlinear optics of photonic crystals," feature issue of J. Opt. Soc. Am. B 19, 2042-2296 (2002).

A.M.Zheltikov, ed., "Supercontinuum generation," special issue of Appl. Phys. B 77, 143-376 (2003).

N. Bloembergen, Nonlinear Optics (Benjamin, 1965).

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, 1984).

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

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Figures (7)

Fig. 1
Fig. 1

Scanning electron microscopy image of the PCF.

Fig. 2
Fig. 2

Field intensity profiles in the guided modes of the PCF referred to, by analogy with standard fibers, as (a) HE 11 ; (b) TE 01 , TM 01 , and HE 21 ; (c) HE 311 , HE 312 , and EH 11 ; (d) HE 12 ; and (e) EH 21 modes.

Fig. 3
Fig. 3

Group-velocity dispersion (GVD) (curve 1) and the nonlinearity coefficient γ (curve 2) calculated as a function of the wavelength for the fundamental mode of the PCF shown in Fig. 1.

Fig. 4
Fig. 4

Phase-matching diagram for the generation of the dispersive-wave third harmonic in the EH 21 -type mode (the field intensity profile is shown in the inset) by a dispersive-wave (line 1) and soliton (lines 2–4) pump field propagating in the fundamental mode. Lines 2–4 represent the parameter n m ( 3 ω ) [ n sol ( ω ) q k ] as a function of the third-harmonic wavelength for three different central wavelengths of the soliton field, 1500 nm (line 2), 1535 nm (line 3), and 1570 nm (line 4). Also shown are the dashed lines representing different levels of the ratio q k with q = 0 , 50, and 100 cm 1 . The dotted vertical line corresponds to a pump wavelength of 1590 nm .

Fig. 5
Fig. 5

Diagram showing that the amplitude of the third harmonic (lower panel) increases as the frequency where the soliton pump (with the spectrum shown in the upper panel) is phase matched with the dispersive-wave third harmonic approaches the central frequency of the soliton spectrum f s = ω s 2 π . The frequencies where phase matching is achieved are shown with filled circles in the middle panel and are denoted by f 1 and f 2 for the examples 1 and 2, respectively. The inset shows the transverse field intensity profile in the third-harmonic signal measured at the output of the PCF.

Fig. 6
Fig. 6

Infrared parts of radiation spectra measured at the output of a 12 cm piece of PCF with different energies of Cr:forsterite laser pulses at the input of the fiber: (a) 14 nJ , (b), 16 nJ , and (c) 18 nJ .

Fig. 7
Fig. 7

Visible parts of radiation spectra measured at the output of a 12 cm piece of PCF with different energies of Cr:forsterite laser pulses at the input of the fiber: (a) 14 nJ , (b), 16 nJ , and (c) 18 nJ .

Equations (5)

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A = F ( ξ ) exp { i ω s t + i [ β n ( ω s ) + q ] z } ,
A = F ̃ ( ω ) exp { i ( ω s ω ) t + i [ β n ( ω s ) + q ω s ω v g ] z } d ω ,
β sol ( ω ) = β n ( ω s ) + q + ω ω s v g .
β TH ( 3 ω ) = β m ( 3 ω ) .
n m ( 3 ω ) = n sol ( ω ) ,

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