Abstract

The influence of cross-phase modulation on third-harmonic generation is theoretically studied. Generalized phase-matching conditions for third-harmonic generation including pump-intensity-dependent phase shifts related to self- and cross-phase modulation effects are discussed. The phase mismatch between the pump and third-harmonic pulses is shown to vary from the leading edge of the pump pulse to its trailing edge, resulting in an asymmetric spectral broadening of the third harmonic.

© 2002 Optical Society of America

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References

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  1. P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge Univ. Press, Cambridge,1990).
    [Crossref]
  2. G. P. Agrawal, Nonlinear Fiber Optics, 3rd edition (Academic, San Diego,2001).
  3. N. I. Koroteev and A. M. Zheltikov, “Chirp control in third-harmonic generation due to cross-phase modulation,” Appl. Phys. B 67, 53–57 (1998).
    [Crossref]
  4. A. M. Zheltikov, N. I. Koroteev, and A. N. Naumov, “Self-and cross-phase modulation accompanying third-harmonic generation in a hollow waveguide,” JETP 88, 857–867 (1999).
    [Crossref]
  5. S. P. Le Blanc and R. Sauerbrey, “Spectral, temporal, and spatial characteristics of plasma-induced spectral blue shifting and its application to femtosecond pulse measurement,” J. Opt. Soc. Am. B 13, 72–88 (1996).
    [Crossref]
  6. A. N. Naumov and A. M. Zheltikov, “Cross-Phase Modulation in Short Light Pulses as a Probe for Gas Ionization Dynamics: The Influence of Group-Delay Walk-off Effects,” Laser Phys. 10, 923–926 (2000).
  7. Y. Wang and R. Dragila, “Efficient conversion of picosecond laser pulses into second-harmonic frequency using group-velocity dispersion,” Phys. Rev. A 41, 5645–5649 (1990)
    [Crossref] [PubMed]
  8. Y. Wang, B. Luther-Davies, Y.-H. Chuang, R. S. Craxton, and D. D. Meyerhofer, “Highly efficient conversion of picosecond Nd laser pulses with the use of group-velocity-mismatched frequency doubling in KDP,” Opt. Lett. 17, 1862–1864 (1991).
    [Crossref]
  9. Y. Wang and B. Luther-Davies, “Frequency-doubling pulse compressor for picosecond high-power neodymium laser pulses,” Opt. Lett. 17, 1459–1461 (1992).
    [Crossref] [PubMed]
  10. C. Y. Chien, G. Korn, J. S. Coe, J. Squier, and G. Mourou, “Highly efficient second-harmonic generation of ultraintense Nd:glass laser pulses,” Opt. Lett. 20, 353–355 (1995).
    [Crossref] [PubMed]
  11. X. D. Cao and C. J. McKinstrie, “Solitary-wave stability in birefringent optical fibers,” J. Opt. Soc. Am. B 10, 1202–1207 (1993).
    [Crossref]
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    [Crossref] [PubMed]
  13. 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 guidance of light in air,” Science 285, 1537–1539 (1999).
    [Crossref] [PubMed]
  14. A. M. Zheltikov, “Holey fibers,” Phys. Usp. 170, 1203–1224 (2000).
    [Crossref]
  15. N. G. R. Broderick, T. M. Monro, P. J. Bennett, and D. J. Richardson, “Nonlinearity in holey optical fibers: measurement and future opportunities,” Opt. Lett. 24, 1395–1397 (1999).
    [Crossref]
  16. A. B. Fedotov, A. M. Zheltikov, L. A. Mel’nikov, A. P. Tarasevitch, and D. von der Linde, “Spectral broadening of femtosecond laser pulses in fibers with a photonic-crystal cladding,” JETP Lett. 71, 281–285 (2000).
    [Crossref]
  17. 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]
  18. 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]
  19. T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Supercontinuum generation in tapered fibers,” Opt. Lett. 25, 1415–1417 (2000).
    [Crossref]
  20. D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
    [Crossref]
  21. A. B. Fedotov, V. V. Yakovlev, and A. M. Zheltikov, “Generation of Cross-Phase-Modulated Third Harmonic of Unamplified Femtosecond Cr: Forsterite Laser Pulses in a Holey Fiber,” Laser Phys.,  12, no. 2 ((2002).
  22. C. G. Durfee, S. Backus, H. C. Kapteyn, and M. M. Murnane, “Intense 8-Fs Pulse Generation In The Deep Ultraviolet,” Opt. Lett. 24, 697–699 (1999).
    [Crossref]

2001 (2)

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]

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

2000 (5)

T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Supercontinuum generation in tapered fibers,” Opt. Lett. 25, 1415–1417 (2000).
[Crossref]

A. B. Fedotov, A. M. Zheltikov, L. A. Mel’nikov, A. P. Tarasevitch, and D. von der Linde, “Spectral broadening of femtosecond laser pulses in fibers with a photonic-crystal cladding,” JETP Lett. 71, 281–285 (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. M. Zheltikov, “Holey fibers,” Phys. Usp. 170, 1203–1224 (2000).
[Crossref]

A. N. Naumov and A. M. Zheltikov, “Cross-Phase Modulation in Short Light Pulses as a Probe for Gas Ionization Dynamics: The Influence of Group-Delay Walk-off Effects,” Laser Phys. 10, 923–926 (2000).

1999 (4)

A. M. Zheltikov, N. I. Koroteev, and A. N. Naumov, “Self-and cross-phase modulation accompanying third-harmonic generation in a hollow waveguide,” JETP 88, 857–867 (1999).
[Crossref]

N. G. R. Broderick, T. M. Monro, P. J. Bennett, and D. J. Richardson, “Nonlinearity in holey optical fibers: measurement and future opportunities,” Opt. Lett. 24, 1395–1397 (1999).
[Crossref]

C. G. Durfee, S. Backus, H. C. Kapteyn, and M. M. Murnane, “Intense 8-Fs Pulse Generation In The Deep Ultraviolet,” Opt. Lett. 24, 697–699 (1999).
[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 guidance of light in air,” Science 285, 1537–1539 (1999).
[Crossref] [PubMed]

1998 (1)

N. I. Koroteev and A. M. Zheltikov, “Chirp control in third-harmonic generation due to cross-phase modulation,” Appl. Phys. B 67, 53–57 (1998).
[Crossref]

1996 (2)

1995 (1)

1993 (1)

1992 (1)

1991 (1)

Y. Wang, B. Luther-Davies, Y.-H. Chuang, R. S. Craxton, and D. D. Meyerhofer, “Highly efficient conversion of picosecond Nd laser pulses with the use of group-velocity-mismatched frequency doubling in KDP,” Opt. Lett. 17, 1862–1864 (1991).
[Crossref]

1990 (1)

Y. Wang and R. Dragila, “Efficient conversion of picosecond laser pulses into second-harmonic frequency using group-velocity dispersion,” Phys. Rev. A 41, 5645–5649 (1990)
[Crossref] [PubMed]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 3rd edition (Academic, San Diego,2001).

Akimov, D. A.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

Alfimov, M. V.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[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 guidance of light in air,” Science 285, 1537–1539 (1999).
[Crossref] [PubMed]

Atkin, D. M.

Backus, S.

Bagayev, S. N.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

Bennett, P. J.

Birks, T. A.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Supercontinuum generation in tapered fibers,” Opt. Lett. 25, 1415–1417 (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 guidance of light in air,” Science 285, 1537–1539 (1999).
[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]

Blanc, S. P. Le

Broderick, N. G. R.

Butcher, P. N.

P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge Univ. Press, Cambridge,1990).
[Crossref]

Cao, X. D.

Chien, C. Y.

Chuang, Y.-H.

Y. Wang, B. Luther-Davies, Y.-H. Chuang, R. S. Craxton, and D. D. Meyerhofer, “Highly efficient conversion of picosecond Nd laser pulses with the use of group-velocity-mismatched frequency doubling in KDP,” Opt. Lett. 17, 1862–1864 (1991).
[Crossref]

Coe, J. S.

Cotter, D.

P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge Univ. Press, Cambridge,1990).
[Crossref]

Craxton, R. S.

Y. Wang, B. Luther-Davies, Y.-H. Chuang, R. S. Craxton, and D. D. Meyerhofer, “Highly efficient conversion of picosecond Nd laser pulses with the use of group-velocity-mismatched frequency doubling in KDP,” Opt. Lett. 17, 1862–1864 (1991).
[Crossref]

Cregan, R. F.

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 guidance of light in air,” Science 285, 1537–1539 (1999).
[Crossref] [PubMed]

Dragila, R.

Y. Wang and R. Dragila, “Efficient conversion of picosecond laser pulses into second-harmonic frequency using group-velocity dispersion,” Phys. Rev. A 41, 5645–5649 (1990)
[Crossref] [PubMed]

Durfee, C. G.

Fedotov, A. B.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[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]

A. B. Fedotov, A. M. Zheltikov, L. A. Mel’nikov, A. P. Tarasevitch, and D. von der Linde, “Spectral broadening of femtosecond laser pulses in fibers with a photonic-crystal cladding,” JETP Lett. 71, 281–285 (2000).
[Crossref]

A. B. Fedotov, V. V. Yakovlev, and A. M. Zheltikov, “Generation of Cross-Phase-Modulated Third Harmonic of Unamplified Femtosecond Cr: Forsterite Laser Pulses in a Holey Fiber,” Laser Phys.,  12, no. 2 ((2002).

Ivanov, A. A.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

Kapteyn, H. C.

Knight, J. 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 guidance of light in air,” Science 285, 1537–1539 (1999).
[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]

Korn, G.

Koroteev, N. I.

A. M. Zheltikov, N. I. Koroteev, and A. N. Naumov, “Self-and cross-phase modulation accompanying third-harmonic generation in a hollow waveguide,” JETP 88, 857–867 (1999).
[Crossref]

N. I. Koroteev and A. M. Zheltikov, “Chirp control in third-harmonic generation due to cross-phase modulation,” Appl. Phys. B 67, 53–57 (1998).
[Crossref]

Linde, D. von der

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]

A. B. Fedotov, A. M. Zheltikov, L. A. Mel’nikov, A. P. Tarasevitch, and D. von der Linde, “Spectral broadening of femtosecond laser pulses in fibers with a photonic-crystal cladding,” JETP Lett. 71, 281–285 (2000).
[Crossref]

Luther-Davies, B.

Y. Wang and B. Luther-Davies, “Frequency-doubling pulse compressor for picosecond high-power neodymium laser pulses,” Opt. Lett. 17, 1459–1461 (1992).
[Crossref] [PubMed]

Y. Wang, B. Luther-Davies, Y.-H. Chuang, R. S. Craxton, and D. D. Meyerhofer, “Highly efficient conversion of picosecond Nd laser pulses with the use of group-velocity-mismatched frequency doubling in KDP,” Opt. Lett. 17, 1862–1864 (1991).
[Crossref]

Mangan, B. 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 guidance of light in air,” Science 285, 1537–1539 (1999).
[Crossref] [PubMed]

McKinstrie, C. J.

Mel’nikov, L. A.

A. B. Fedotov, A. M. Zheltikov, L. A. Mel’nikov, A. P. Tarasevitch, and D. von der Linde, “Spectral broadening of femtosecond laser pulses in fibers with a photonic-crystal cladding,” JETP Lett. 71, 281–285 (2000).
[Crossref]

Meyerhofer, D. D.

Y. Wang, B. Luther-Davies, Y.-H. Chuang, R. S. Craxton, and D. D. Meyerhofer, “Highly efficient conversion of picosecond Nd laser pulses with the use of group-velocity-mismatched frequency doubling in KDP,” Opt. Lett. 17, 1862–1864 (1991).
[Crossref]

Monro, T. M.

Mourou, G.

Murnane, M. M.

Naumov, A. N.

A. N. Naumov and A. M. Zheltikov, “Cross-Phase Modulation in Short Light Pulses as a Probe for Gas Ionization Dynamics: The Influence of Group-Delay Walk-off Effects,” Laser Phys. 10, 923–926 (2000).

A. M. Zheltikov, N. I. Koroteev, and A. N. Naumov, “Self-and cross-phase modulation accompanying third-harmonic generation in a hollow waveguide,” JETP 88, 857–867 (1999).
[Crossref]

Pivtsov, V. S.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

Podshivalov, A. A.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

Ranka, J. 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 guidance of light in air,” Science 285, 1537–1539 (1999).
[Crossref] [PubMed]

Russell, P. St. J.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Supercontinuum generation in tapered fibers,” Opt. Lett. 25, 1415–1417 (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 guidance of light in air,” Science 285, 1537–1539 (1999).
[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]

Sauerbrey, R.

Squier, J.

Stentz, A. J.

Tarasevitch, A. P.

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]

A. B. Fedotov, A. M. Zheltikov, L. A. Mel’nikov, A. P. Tarasevitch, and D. von der Linde, “Spectral broadening of femtosecond laser pulses in fibers with a photonic-crystal cladding,” JETP Lett. 71, 281–285 (2000).
[Crossref]

Wadsworth, W. J.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Supercontinuum generation in tapered fibers,” Opt. Lett. 25, 1415–1417 (2000).
[Crossref]

Wang, Y.

Y. Wang and B. Luther-Davies, “Frequency-doubling pulse compressor for picosecond high-power neodymium laser pulses,” Opt. Lett. 17, 1459–1461 (1992).
[Crossref] [PubMed]

Y. Wang, B. Luther-Davies, Y.-H. Chuang, R. S. Craxton, and D. D. Meyerhofer, “Highly efficient conversion of picosecond Nd laser pulses with the use of group-velocity-mismatched frequency doubling in KDP,” Opt. Lett. 17, 1862–1864 (1991).
[Crossref]

Y. Wang and R. Dragila, “Efficient conversion of picosecond laser pulses into second-harmonic frequency using group-velocity dispersion,” Phys. Rev. A 41, 5645–5649 (1990)
[Crossref] [PubMed]

Windeler, R. S.

Yakovlev, V. V.

A. B. Fedotov, V. V. Yakovlev, and A. M. Zheltikov, “Generation of Cross-Phase-Modulated Third Harmonic of Unamplified Femtosecond Cr: Forsterite Laser Pulses in a Holey Fiber,” Laser Phys.,  12, no. 2 ((2002).

Zheltikov, A. M.

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[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]

A. B. Fedotov, A. M. Zheltikov, L. A. Mel’nikov, A. P. Tarasevitch, and D. von der Linde, “Spectral broadening of femtosecond laser pulses in fibers with a photonic-crystal cladding,” JETP Lett. 71, 281–285 (2000).
[Crossref]

A. M. Zheltikov, “Holey fibers,” Phys. Usp. 170, 1203–1224 (2000).
[Crossref]

A. N. Naumov and A. M. Zheltikov, “Cross-Phase Modulation in Short Light Pulses as a Probe for Gas Ionization Dynamics: The Influence of Group-Delay Walk-off Effects,” Laser Phys. 10, 923–926 (2000).

A. M. Zheltikov, N. I. Koroteev, and A. N. Naumov, “Self-and cross-phase modulation accompanying third-harmonic generation in a hollow waveguide,” JETP 88, 857–867 (1999).
[Crossref]

N. I. Koroteev and A. M. Zheltikov, “Chirp control in third-harmonic generation due to cross-phase modulation,” Appl. Phys. B 67, 53–57 (1998).
[Crossref]

A. B. Fedotov, V. V. Yakovlev, and A. M. Zheltikov, “Generation of Cross-Phase-Modulated Third Harmonic of Unamplified Femtosecond Cr: Forsterite Laser Pulses in a Holey Fiber,” Laser Phys.,  12, no. 2 ((2002).

Appl. Phys. B (2)

N. I. Koroteev and A. M. Zheltikov, “Chirp control in third-harmonic generation due to cross-phase modulation,” Appl. Phys. B 67, 53–57 (1998).
[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]

J. Opt. Soc. Am. B (2)

JETP (1)

A. M. Zheltikov, N. I. Koroteev, and A. N. Naumov, “Self-and cross-phase modulation accompanying third-harmonic generation in a hollow waveguide,” JETP 88, 857–867 (1999).
[Crossref]

JETP Lett. (2)

A. B. Fedotov, A. M. Zheltikov, L. A. Mel’nikov, A. P. Tarasevitch, and D. von der Linde, “Spectral broadening of femtosecond laser pulses in fibers with a photonic-crystal cladding,” JETP Lett. 71, 281–285 (2000).
[Crossref]

D. A. Akimov, A. B. Fedotov, A. A. Podshivalov, A. M. Zheltikov, A. A. Ivanov, M. V. Alfimov, S. N. Bagayev, V. S. Pivtsov, T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Spectral Superbroadening of Subnanojoule Cr: Forsterite Femtosecond Laser Pulses in a Tapered Fiber,” JETP Lett. 74, 460 – 463 (2001).
[Crossref]

Laser Phys. (2)

A. B. Fedotov, V. V. Yakovlev, and A. M. Zheltikov, “Generation of Cross-Phase-Modulated Third Harmonic of Unamplified Femtosecond Cr: Forsterite Laser Pulses in a Holey Fiber,” Laser Phys.,  12, no. 2 ((2002).

A. N. Naumov and A. M. Zheltikov, “Cross-Phase Modulation in Short Light Pulses as a Probe for Gas Ionization Dynamics: The Influence of Group-Delay Walk-off Effects,” Laser Phys. 10, 923–926 (2000).

Opt. Lett. (8)

Y. Wang, B. Luther-Davies, Y.-H. Chuang, R. S. Craxton, and D. D. Meyerhofer, “Highly efficient conversion of picosecond Nd laser pulses with the use of group-velocity-mismatched frequency doubling in KDP,” Opt. Lett. 17, 1862–1864 (1991).
[Crossref]

Y. Wang and B. Luther-Davies, “Frequency-doubling pulse compressor for picosecond high-power neodymium laser pulses,” Opt. Lett. 17, 1459–1461 (1992).
[Crossref] [PubMed]

C. Y. Chien, G. Korn, J. S. Coe, J. Squier, and G. Mourou, “Highly efficient second-harmonic generation of ultraintense Nd:glass laser pulses,” Opt. Lett. 20, 353–355 (1995).
[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]

T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, “Supercontinuum generation in tapered fibers,” Opt. Lett. 25, 1415–1417 (2000).
[Crossref]

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]

N. G. R. Broderick, T. M. Monro, P. J. Bennett, and D. J. Richardson, “Nonlinearity in holey optical fibers: measurement and future opportunities,” Opt. Lett. 24, 1395–1397 (1999).
[Crossref]

C. G. Durfee, S. Backus, H. C. Kapteyn, and M. M. Murnane, “Intense 8-Fs Pulse Generation In The Deep Ultraviolet,” Opt. Lett. 24, 697–699 (1999).
[Crossref]

Phys. Rev. A (1)

Y. Wang and R. Dragila, “Efficient conversion of picosecond laser pulses into second-harmonic frequency using group-velocity dispersion,” Phys. Rev. A 41, 5645–5649 (1990)
[Crossref] [PubMed]

Phys. Usp. (1)

A. M. Zheltikov, “Holey fibers,” Phys. Usp. 170, 1203–1224 (2000).
[Crossref]

Science (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 guidance of light in air,” Science 285, 1537–1539 (1999).
[Crossref] [PubMed]

Other (2)

P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge Univ. Press, Cambridge,1990).
[Crossref]

G. P. Agrawal, Nonlinear Fiber Optics, 3rd edition (Academic, San Diego,2001).

Supplementary Material (1)

» Media 1: MOV (174 KB)     

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Figures (2)

Fig. 1.
Fig. 1.

The effective wave-vector mismatch between the third-harmonic field and the nonlinear polarization induced in the medium at the frequency of the third harmonic (curves 1, 2; left-hand axis) and the dimensionless frequency deviation of the pump pulse ω¯p (curves 3, 4; right-hand axis) as functions of the propagation coordinate z for ηh = 1.6. The third harmonic is generated in a fiber with n 2 = 3.2-10-16 cm2/W, γ 1 = γ 2, Δk = 2 cm-1, ζ= -0.2 cm-1 by a 30-fs pump pulse (5) with φ 0(ηp ) = αηp4, aα = 0.13, and an energy of 0.01 nJ (2, 4) and 0.3 nJ (1, 3).

Fig. 2.
Fig. 2.

(175 KB) Animation of (a) time- and (b) frequency-domain evolution of the pump and third-harmonic pulses involved in THG, SPM, and XPM processes in a fiber with n 2 = 3.2-10-16 cm2/W; C NL = Pp3; Pp and Ph are the powers of the pump and third-harmonic pulses, respectively; Sp = |∫ A(ηh + ζz, z) exp [iΩηh ] h |2 and Sh =|∫ B(ηh +, z) exp [iΩηh ] h |2 are the spectra of the pump and third-harmonic pulses, respectively. The pump pulse has an initial duration of 30 fs, an energy of 0.3 nJ, and the initial phase φ 0(ηp ) = αηp4, α= 0.13.

Equations (13)

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A ( η p , z ) = A 0 ( η p ) exp [ i φ spm ( η p , z ) ] ,
B ( η h , z ) = exp [ i φ xpm ( η h , z ) ]
× 0 z d z A 0 3 ( η h + ς z ) exp [ i Δ k z + 3 i φ spm ( η h + ζ z , z ) i φ xpm ( η h , z ) ] ,
φ spm ( η p , z ) = γ 1 A 0 ( η p ) 2 z .
φ xpm ( η h , z ) = 2 γ 2 0 z A 0 ( η h + ς z ) 2 d z
A 0 ( η p ) = A ˜ exp [ i φ 0 ( η p ) ] cosh [ η p ] .
φ xpm ( η h , z ) = 2 γ 2 A ˜ 2 ζ [ tanh ( η h + ζ z ) tanh ( η h ) ]
Δ φ ( η h , z ) = Δ k z 3 φ spm ( η h + ζ z , z ) 3 φ 0 ( η h + ζ z ) + φ xpm ( η h , z ) ,
Δ k eff ( η h , z ) = z [ Δ φ ( η h , z ) ] .
Δ k eff = Δ k + δ k xpm ( η h , z ) + δ k w ( η h , z ) ,
δ k xpm ( η h , z ) = 2 γ 2 A 0 ( η h + ς z ) 2 3 γ 1 A 0 ( η h + ς z ) 2
δ k w ( η h , z ) = 3 ς ω ¯ p ( η h + ς z , z )
ω ¯ p ( η h , z ) = η arg ( A ( η , z ) )

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