Abstract

We present what is believed to be the first experimental demonstration of guided-wave phase-matched frequency mixing and harmonic conversion in gases. Broad-bandwidth ultrafast pulses, tunable around 270  nm, were generated from an ultrafast Ti:sapphire amplifier system using 2ω+2ω-ω parametric wave mixing in a capillary waveguide. We achieved nonresonant phase matching by coupling both the fundamental and the second-harmonic light into the lowest-order mode. The output 3ω pulses have an energy of >4 µJ at a 1–kHz repetition rate. Simple extensions of this method can generate higher-energy 10–20-fs pulses tunable throughout the vacuum ultraviolet.

© 1997 Optical Society of America

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  1. A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
    [Crossref]
  2. P. Barbara, J. Fujimoto, W. Knox, and W. Zinth, eds., Ultrafast Phenomena X (Springer-Verlag, Berlin, 1996).
    [Crossref]
  3. J. Ringling, O. Kittelmann, F. Noack, G. Korn, and J. Squier, Opt. Lett. 18, 2035 (1993).
    [Crossref]
  4. S. Backus, J. Peatross, M. Murnane, and H. Kapteyn, Opt. Lett. 21, 665 (1996).
    [Crossref] [PubMed]
  5. C. W. Siders, N. Turner, M. Downer, A. Babine, A. Stepanov, and A. Sergeev, J. Opt. Soc. Am. B 12, 330 (1996).
    [Crossref]
  6. H. Milchberg, C. Durfee, and T. McIlrath, Phys. Rev. Lett. 75, 2494 (1995).
    [Crossref] [PubMed]
  7. J. Young, G. Bjorkland, A. Kung, R. Miles, and S. E. Harris, Phys. Rev. Lett. 27, 1551 (1971).
    [Crossref]
  8. J. F. Reintjes, Nonlinear Optical Parametric Processes in Liquids and Gases (Academic, New York, 1984).
  9. M. Nisoli, S. Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
    [Crossref]
  10. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, Calif., 1995).
  11. E. J. Marcateli and R. Schmeltzer, Bell Syst. Tech. J. 43, 1783 (1964).
    [Crossref]
  12. A. Dalgarno and A. E. Kingston, Proc. R. Soc. London Ser. A 259, 424 (1966).
    [Crossref]
  13. S. Backus, C. Durfee, M. Murnane, and H. Kapteyn, Opt. Lett. 22, 1256 (1997).
    [Crossref] [PubMed]
  14. S. Backus, J. Peatross, C. P. Huang, H. Kapteyn, and M. Murnane, Opt. Lett. 20, 2000 (1995).
    [Crossref] [PubMed]

1997 (2)

A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
[Crossref]

S. Backus, C. Durfee, M. Murnane, and H. Kapteyn, Opt. Lett. 22, 1256 (1997).
[Crossref] [PubMed]

1996 (3)

M. Nisoli, S. Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[Crossref]

S. Backus, J. Peatross, M. Murnane, and H. Kapteyn, Opt. Lett. 21, 665 (1996).
[Crossref] [PubMed]

C. W. Siders, N. Turner, M. Downer, A. Babine, A. Stepanov, and A. Sergeev, J. Opt. Soc. Am. B 12, 330 (1996).
[Crossref]

1995 (2)

1993 (1)

1971 (1)

J. Young, G. Bjorkland, A. Kung, R. Miles, and S. E. Harris, Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

1966 (1)

A. Dalgarno and A. E. Kingston, Proc. R. Soc. London Ser. A 259, 424 (1966).
[Crossref]

1964 (1)

E. J. Marcateli and R. Schmeltzer, Bell Syst. Tech. J. 43, 1783 (1964).
[Crossref]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, Calif., 1995).

Babine, A.

C. W. Siders, N. Turner, M. Downer, A. Babine, A. Stepanov, and A. Sergeev, J. Opt. Soc. Am. B 12, 330 (1996).
[Crossref]

Backus, S.

Bjorkland, G.

J. Young, G. Bjorkland, A. Kung, R. Miles, and S. E. Harris, Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Chang, Z.

A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
[Crossref]

Christov, I.

A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
[Crossref]

Dalgarno, A.

A. Dalgarno and A. E. Kingston, Proc. R. Soc. London Ser. A 259, 424 (1966).
[Crossref]

Downer, M.

C. W. Siders, N. Turner, M. Downer, A. Babine, A. Stepanov, and A. Sergeev, J. Opt. Soc. Am. B 12, 330 (1996).
[Crossref]

Durfee, C.

A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
[Crossref]

S. Backus, C. Durfee, M. Murnane, and H. Kapteyn, Opt. Lett. 22, 1256 (1997).
[Crossref] [PubMed]

H. Milchberg, C. Durfee, and T. McIlrath, Phys. Rev. Lett. 75, 2494 (1995).
[Crossref] [PubMed]

Harris, S. E.

J. Young, G. Bjorkland, A. Kung, R. Miles, and S. E. Harris, Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Huang, C. P.

Kapteyn, H.

Kingston, A. E.

A. Dalgarno and A. E. Kingston, Proc. R. Soc. London Ser. A 259, 424 (1966).
[Crossref]

Kittelmann, O.

Korn, G.

Kung, A.

J. Young, G. Bjorkland, A. Kung, R. Miles, and S. E. Harris, Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Marcateli, E. J.

E. J. Marcateli and R. Schmeltzer, Bell Syst. Tech. J. 43, 1783 (1964).
[Crossref]

McIlrath, T.

H. Milchberg, C. Durfee, and T. McIlrath, Phys. Rev. Lett. 75, 2494 (1995).
[Crossref] [PubMed]

Milchberg, H.

H. Milchberg, C. Durfee, and T. McIlrath, Phys. Rev. Lett. 75, 2494 (1995).
[Crossref] [PubMed]

Miles, R.

J. Young, G. Bjorkland, A. Kung, R. Miles, and S. E. Harris, Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Murnane, M.

Nisoli, M.

M. Nisoli, S. Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[Crossref]

Noack, F.

Peatross, J.

Reintjes, J. F.

J. F. Reintjes, Nonlinear Optical Parametric Processes in Liquids and Gases (Academic, New York, 1984).

Ringling, J.

Rundquist, A.

A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
[Crossref]

Schmeltzer, R.

E. J. Marcateli and R. Schmeltzer, Bell Syst. Tech. J. 43, 1783 (1964).
[Crossref]

Sergeev, A.

C. W. Siders, N. Turner, M. Downer, A. Babine, A. Stepanov, and A. Sergeev, J. Opt. Soc. Am. B 12, 330 (1996).
[Crossref]

Siders, C. W.

C. W. Siders, N. Turner, M. Downer, A. Babine, A. Stepanov, and A. Sergeev, J. Opt. Soc. Am. B 12, 330 (1996).
[Crossref]

Silvestri, S.

M. Nisoli, S. Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[Crossref]

Squier, J.

Stepanov, A.

C. W. Siders, N. Turner, M. Downer, A. Babine, A. Stepanov, and A. Sergeev, J. Opt. Soc. Am. B 12, 330 (1996).
[Crossref]

Stoev, V.

A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
[Crossref]

Svelto, O.

M. Nisoli, S. Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[Crossref]

Taft, G.

A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
[Crossref]

Turner, N.

C. W. Siders, N. Turner, M. Downer, A. Babine, A. Stepanov, and A. Sergeev, J. Opt. Soc. Am. B 12, 330 (1996).
[Crossref]

Young, J.

J. Young, G. Bjorkland, A. Kung, R. Miles, and S. E. Harris, Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Zeek, E.

A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
[Crossref]

Appl. Phys. B (1)

A. Rundquist, C. Durfee, Z. Chang, G. Taft, E. Zeek, S. Backus, M. Murnane, H. Kapteyn, I. Christov, and V. Stoev, Appl. Phys. B 65, 161 (1997).
[Crossref]

Appl. Phys. Lett. (1)

M. Nisoli, S. Silvestri, and O. Svelto, Appl. Phys. Lett. 68, 2793 (1996).
[Crossref]

Bell Syst. Tech. J. (1)

E. J. Marcateli and R. Schmeltzer, Bell Syst. Tech. J. 43, 1783 (1964).
[Crossref]

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

C. W. Siders, N. Turner, M. Downer, A. Babine, A. Stepanov, and A. Sergeev, J. Opt. Soc. Am. B 12, 330 (1996).
[Crossref]

Opt. Lett. (4)

Phys. Rev. Lett. (2)

H. Milchberg, C. Durfee, and T. McIlrath, Phys. Rev. Lett. 75, 2494 (1995).
[Crossref] [PubMed]

J. Young, G. Bjorkland, A. Kung, R. Miles, and S. E. Harris, Phys. Rev. Lett. 27, 1551 (1971).
[Crossref]

Proc. R. Soc. London Ser. A (1)

A. Dalgarno and A. E. Kingston, Proc. R. Soc. London Ser. A 259, 424 (1966).
[Crossref]

Other (3)

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, Calif., 1995).

J. F. Reintjes, Nonlinear Optical Parametric Processes in Liquids and Gases (Academic, New York, 1984).

P. Barbara, J. Fujimoto, W. Knox, and W. Zinth, eds., Ultrafast Phenomena X (Springer-Verlag, Berlin, 1996).
[Crossref]

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Figures (3)

Fig. 1
Fig. 1

Third-harmonic energy versus (a) argon and (b) krypton gas pressure. The reference lines show the calculated optimum pressures for coupling among lowest-order modes (solid) and among various low-order modes (dashed).

Fig. 2
Fig. 2

Spectra of the idler ω, the pump 2ω, and the signal 3ω versus relative delay of pump and idler.

Fig. 3
Fig. 3

Output spectra with the laser compressor adjusted (a) for maximum second-harmonic generation and (b) for short pump pulses.

Equations (3)

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k=2πngλλ1-12unmλ2πa21+ImνEHλπa,
α=unmλ2π2λ2a3ReνEH.
Δk=Δkmode-Δkmaterial=λ14πa2u33RN-M+Mu12-Nu22R-2πpλ1RN-Mδ3+Mδ1-Nδ2,

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