Abstract

The focusability of multiple high-order harmonics in the extreme-ultraviolet and soft-x-ray regions is described, together with the design and performance of the ellipsoidal mirror used for this purpose. The mirror focuses intense coherent light in the spectral-region from 25 to 40  nm into a 2.4μm spot size with a focused peak intensity of 6×1013  W/cm2. The focal images indicate that a good beam profile is obtained with a near-Gaussian distribution and a beam quality factor (M2 value) as low as 2.4.

© 2006 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]

2005 (2)

B. Shan, S. Ghimire, and Z. Chang, "Generation of the attosecond extreme ultraviolet supercontinuum by a polarization gating," J. Mod. Opt. 52, 277-283 (2005).
[CrossRef]

Y. Nabekawa, H. Hasegawa, E. J. Takahashi, and K. Midorikawa, "Production of doubly charged helium ions by two-photon absorption of an intense sub-10-fs soft x-ray pulse at 42 eV photon energy," Phys. Rev. Lett. 94, 043001 (2005).
[CrossRef] [PubMed]

2004 (1)

2003 (3)

C. Valentin, D. Douillet, S. Kazamias, Th. Lefrou, G. Grillon, F. Augé, G. Mullot, Ph. Balcou, P. Mercére, and Ph. Zeitoun, "Imaging and quality assessment of high-harmonic focal spots," Opt. Lett. 28, 1049-1051 (2003).
[CrossRef] [PubMed]

N. A. Papadogiannis, L. A. A. Nikolopoulos, D. Charalambidis, G. D. Tsakiris, P. Tzallas, and K. Witte, "Two-photon ionization of He through a superposition of higher harmonics," Phys. Rev. Lett. 90, 133902 (2003).
[CrossRef] [PubMed]

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

2002 (4)

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

E. Takahashi, Y. Nabekawa, T. Otsuka, M. Obara, and K. Midorikawa, "Generation of highly coherent submicrojoule soft x rays by high-order harmonics," Phys. Rev. A 66, 021802 (2002).
[CrossRef]

E. Takahashi, Y. Nabekawa, and K. Midorikawa, "Generation of 10-µJ coherent extreme-ultraviolet light by use of high-order harmonics," Opt. Lett. 27, 1920-1922 (2002).
[CrossRef]

1999 (2)

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

C. G. Durfee III, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, "Phase matching of high-order harmonics in hollow waveguides," Phys. Rev. Lett. 83, 2187-2190 (1999).
[CrossRef]

1997 (1)

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

1996 (1)

M. Yamamoto, M. Yanagihara, H. Kimura, and M. Watanabe, "Soft x-ray multilayer optics for use with synchrotron radiation," J. Jpn. Soc. Sync. Rad. Res. 9, 16-39 (1996; in Japanese).

1993 (3)

J. J. Macklin, J. D. Kmetec, and C. L. Gordon III, "High-order harmonic generation using intense femtosecond pulses," Phys. Rev. Lett. 70, 766-769 (1993).
[CrossRef] [PubMed]

B. L. Henke, E. M. Gullikson, and J. C. Davis, "X-ray interactions: photoabsorption, scattering, transmission, and reflection at E = 50-30000 eV, Z = 1-92," At. Data Nucl. Data Tables 54, 290 (1993).
[CrossRef]

A. E. Siegman and S. W. Townsend, "Output beam propagation and beam quality from a multimode stable-cavity laser," IEEE J. Quantum Electron. 29, 1212-1217 (1993).
[CrossRef]

1987 (2)

Agostini, P.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Altucci, C.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Amano, A.

A. Amano, Toshiba Corporate Manufacturing Engineering Center, Yokohama 234-0017 Japan (personal communication, 2001).

Augé, F.

C. Valentin, D. Douillet, S. Kazamias, Th. Lefrou, G. Grillon, F. Augé, G. Mullot, Ph. Balcou, P. Mercére, and Ph. Zeitoun, "Imaging and quality assessment of high-harmonic focal spots," Opt. Lett. 28, 1049-1051 (2003).
[CrossRef] [PubMed]

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

Backus, S.

C. G. Durfee III, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, "Phase matching of high-order harmonics in hollow waveguides," Phys. Rev. Lett. 83, 2187-2190 (1999).
[CrossRef]

Balcou, Ph.

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

C. Valentin, D. Douillet, S. Kazamias, Th. Lefrou, G. Grillon, F. Augé, G. Mullot, Ph. Balcou, P. Mercére, and Ph. Zeitoun, "Imaging and quality assessment of high-harmonic focal spots," Opt. Lett. 28, 1049-1051 (2003).
[CrossRef] [PubMed]

Boyer, K.

Breger, P.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Bruzzese, R.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Burnett, N. H.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Carré, B.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Cerullo, G.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Chang, Z.

B. Shan, S. Ghimire, and Z. Chang, "Generation of the attosecond extreme ultraviolet supercontinuum by a polarization gating," J. Mod. Opt. 52, 277-283 (2005).
[CrossRef]

Charalambidis, D.

N. A. Papadogiannis, L. A. A. Nikolopoulos, D. Charalambidis, G. D. Tsakiris, P. Tzallas, and K. Witte, "Two-photon ionization of He through a superposition of higher harmonics," Phys. Rev. Lett. 90, 133902 (2003).
[CrossRef] [PubMed]

Davis, J. C.

B. L. Henke, E. M. Gullikson, and J. C. Davis, "X-ray interactions: photoabsorption, scattering, transmission, and reflection at E = 50-30000 eV, Z = 1-92," At. Data Nucl. Data Tables 54, 290 (1993).
[CrossRef]

de Lisio, C.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

De Silvestri, S.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Douillet, D.

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

C. Valentin, D. Douillet, S. Kazamias, Th. Lefrou, G. Grillon, F. Augé, G. Mullot, Ph. Balcou, P. Mercére, and Ph. Zeitoun, "Imaging and quality assessment of high-harmonic focal spots," Opt. Lett. 28, 1049-1051 (2003).
[CrossRef] [PubMed]

Durfee, C. G.

C. G. Durfee III, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, "Phase matching of high-order harmonics in hollow waveguides," Phys. Rev. Lett. 83, 2187-2190 (1999).
[CrossRef]

Ghimire, S.

B. Shan, S. Ghimire, and Z. Chang, "Generation of the attosecond extreme ultraviolet supercontinuum by a polarization gating," J. Mod. Opt. 52, 277-283 (2005).
[CrossRef]

Gibson, G.

Gordon, C. L.

J. J. Macklin, J. D. Kmetec, and C. L. Gordon III, "High-order harmonic generation using intense femtosecond pulses," Phys. Rev. Lett. 70, 766-769 (1993).
[CrossRef] [PubMed]

Grillon, G.

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

C. Valentin, D. Douillet, S. Kazamias, Th. Lefrou, G. Grillon, F. Augé, G. Mullot, Ph. Balcou, P. Mercére, and Ph. Zeitoun, "Imaging and quality assessment of high-harmonic focal spots," Opt. Lett. 28, 1049-1051 (2003).
[CrossRef] [PubMed]

Gullikson, E. M.

B. L. Henke, E. M. Gullikson, and J. C. Davis, "X-ray interactions: photoabsorption, scattering, transmission, and reflection at E = 50-30000 eV, Z = 1-92," At. Data Nucl. Data Tables 54, 290 (1993).
[CrossRef]

Hasegawa, H.

Y. Nabekawa, H. Hasegawa, E. J. Takahashi, and K. Midorikawa, "Production of doubly charged helium ions by two-photon absorption of an intense sub-10-fs soft x-ray pulse at 42 eV photon energy," Phys. Rev. Lett. 94, 043001 (2005).
[CrossRef] [PubMed]

Henke, B. L.

B. L. Henke, E. M. Gullikson, and J. C. Davis, "X-ray interactions: photoabsorption, scattering, transmission, and reflection at E = 50-30000 eV, Z = 1-92," At. Data Nucl. Data Tables 54, 290 (1993).
[CrossRef]

Hergott, J.-F.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Herne, C.

C. G. Durfee III, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, "Phase matching of high-order harmonics in hollow waveguides," Phys. Rev. Lett. 83, 2187-2190 (1999).
[CrossRef]

Hogrefe, H.

Hubert, C.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Hulin, D.

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

Itatani, J.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Jara, H.

Jean, E.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Johann, U.

Kan, C.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Kapteyn, H. C.

C. G. Durfee III, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, "Phase matching of high-order harmonics in hollow waveguides," Phys. Rev. Lett. 83, 2187-2190 (1999).
[CrossRef]

Kazamias, S.

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

C. Valentin, D. Douillet, S. Kazamias, Th. Lefrou, G. Grillon, F. Augé, G. Mullot, Ph. Balcou, P. Mercére, and Ph. Zeitoun, "Imaging and quality assessment of high-harmonic focal spots," Opt. Lett. 28, 1049-1051 (2003).
[CrossRef] [PubMed]

Kimura, H.

M. Yamamoto, M. Yanagihara, H. Kimura, and M. Watanabe, "Soft x-ray multilayer optics for use with synchrotron radiation," J. Jpn. Soc. Sync. Rad. Res. 9, 16-39 (1996; in Japanese).

Kmetec, J. D.

J. J. Macklin, J. D. Kmetec, and C. L. Gordon III, "High-order harmonic generation using intense femtosecond pulses," Phys. Rev. Lett. 70, 766-769 (1993).
[CrossRef] [PubMed]

Koppitsch, R.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Kovacev, M.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Krausz, F.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Kunz, C.

Lefrou, Th.

Lenzner, M.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Luk, T. S.

Macklin, J. J.

J. J. Macklin, J. D. Kmetec, and C. L. Gordon III, "High-order harmonic generation using intense femtosecond pulses," Phys. Rev. Lett. 70, 766-769 (1993).
[CrossRef] [PubMed]

Mairesse, Y.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Mashiko, H.

McIntyre, I. A.

McPherson, A.

Mercére, P.

Merdji, H.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Midorikawa, K.

Y. Nabekawa, H. Hasegawa, E. J. Takahashi, and K. Midorikawa, "Production of doubly charged helium ions by two-photon absorption of an intense sub-10-fs soft x-ray pulse at 42 eV photon energy," Phys. Rev. Lett. 94, 043001 (2005).
[CrossRef] [PubMed]

H. Mashiko, A. Suda, and K. Midorikawa, "Focusing coherent soft x-ray radiation to a micrometer spot size with an intensity of 1014 W cm2," Opt. Lett. 29, 1927-1929 (2004).
[CrossRef] [PubMed]

E. Takahashi, Y. Nabekawa, and K. Midorikawa, "Generation of 10-µJ coherent extreme-ultraviolet light by use of high-order harmonics," Opt. Lett. 27, 1920-1922 (2002).
[CrossRef]

E. Takahashi, Y. Nabekawa, T. Otsuka, M. Obara, and K. Midorikawa, "Generation of highly coherent submicrojoule soft x rays by high-order harmonics," Phys. Rev. A 66, 021802 (2002).
[CrossRef]

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Mullot, G.

Murnane, M. M.

C. G. Durfee III, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, "Phase matching of high-order harmonics in hollow waveguides," Phys. Rev. Lett. 83, 2187-2190 (1999).
[CrossRef]

Nabekawa, Y.

Y. Nabekawa, H. Hasegawa, E. J. Takahashi, and K. Midorikawa, "Production of doubly charged helium ions by two-photon absorption of an intense sub-10-fs soft x-ray pulse at 42 eV photon energy," Phys. Rev. Lett. 94, 043001 (2005).
[CrossRef] [PubMed]

E. Takahashi, Y. Nabekawa, and K. Midorikawa, "Generation of 10-µJ coherent extreme-ultraviolet light by use of high-order harmonics," Opt. Lett. 27, 1920-1922 (2002).
[CrossRef]

E. Takahashi, Y. Nabekawa, T. Otsuka, M. Obara, and K. Midorikawa, "Generation of highly coherent submicrojoule soft x rays by high-order harmonics," Phys. Rev. A 66, 021802 (2002).
[CrossRef]

Nagata, Y.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Nikolopoulos, L. A. A.

N. A. Papadogiannis, L. A. A. Nikolopoulos, D. Charalambidis, G. D. Tsakiris, P. Tzallas, and K. Witte, "Two-photon ionization of He through a superposition of higher harmonics," Phys. Rev. Lett. 90, 133902 (2003).
[CrossRef] [PubMed]

Nisoli, M.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Obara, M.

E. Takahashi, Y. Nabekawa, T. Otsuka, M. Obara, and K. Midorikawa, "Generation of highly coherent submicrojoule soft x rays by high-order harmonics," Phys. Rev. A 66, 021802 (2002).
[CrossRef]

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Otsuka, T.

E. Takahashi, Y. Nabekawa, T. Otsuka, M. Obara, and K. Midorikawa, "Generation of highly coherent submicrojoule soft x rays by high-order harmonics," Phys. Rev. A 66, 021802 (2002).
[CrossRef]

Papadogiannis, N. A.

N. A. Papadogiannis, L. A. A. Nikolopoulos, D. Charalambidis, G. D. Tsakiris, P. Tzallas, and K. Witte, "Two-photon ionization of He through a superposition of higher harmonics," Phys. Rev. Lett. 90, 133902 (2003).
[CrossRef] [PubMed]

Pascolini, M.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Poletto, L.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Priori, E.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Rhodes, C. K.

Rousse, A.

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

Rundquist, A. R.

C. G. Durfee III, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, "Phase matching of high-order harmonics in hollow waveguides," Phys. Rev. Lett. 83, 2187-2190 (1999).
[CrossRef]

Saliéres, P.

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

Sansone, G.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Sartania, S.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Schnürer, M.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Sebban, S.

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

Shan, B.

B. Shan, S. Ghimire, and Z. Chang, "Generation of the attosecond extreme ultraviolet supercontinuum by a polarization gating," J. Mod. Opt. 52, 277-283 (2005).
[CrossRef]

Siegman, A. E.

A. E. Siegman and S. W. Townsend, "Output beam propagation and beam quality from a multimode stable-cavity laser," IEEE J. Quantum Electron. 29, 1212-1217 (1993).
[CrossRef]

Spielmann, Ch.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Stagira, S.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Strong, J.

J. Strong, Procedures in Experimental Physics (Prentice-Hall, 1938), p. 69.

Suda, A.

Takahashi, E.

E. Takahashi, Y. Nabekawa, and K. Midorikawa, "Generation of 10-µJ coherent extreme-ultraviolet light by use of high-order harmonics," Opt. Lett. 27, 1920-1922 (2002).
[CrossRef]

E. Takahashi, Y. Nabekawa, T. Otsuka, M. Obara, and K. Midorikawa, "Generation of highly coherent submicrojoule soft x rays by high-order harmonics," Phys. Rev. A 66, 021802 (2002).
[CrossRef]

Takahashi, E. J.

Y. Nabekawa, H. Hasegawa, E. J. Takahashi, and K. Midorikawa, "Production of doubly charged helium ions by two-photon absorption of an intense sub-10-fs soft x-ray pulse at 42 eV photon energy," Phys. Rev. Lett. 94, 043001 (2005).
[CrossRef] [PubMed]

Tamaki, Y.

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

Tondello, G.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Townsend, S. W.

A. E. Siegman and S. W. Townsend, "Output beam propagation and beam quality from a multimode stable-cavity laser," IEEE J. Quantum Electron. 29, 1212-1217 (1993).
[CrossRef]

Tsakiris, G. D.

N. A. Papadogiannis, L. A. A. Nikolopoulos, D. Charalambidis, G. D. Tsakiris, P. Tzallas, and K. Witte, "Two-photon ionization of He through a superposition of higher harmonics," Phys. Rev. Lett. 90, 133902 (2003).
[CrossRef] [PubMed]

Tzallas, P.

N. A. Papadogiannis, L. A. A. Nikolopoulos, D. Charalambidis, G. D. Tsakiris, P. Tzallas, and K. Witte, "Two-photon ionization of He through a superposition of higher harmonics," Phys. Rev. Lett. 90, 133902 (2003).
[CrossRef] [PubMed]

Valentin, C.

C. Valentin, D. Douillet, S. Kazamias, Th. Lefrou, G. Grillon, F. Augé, G. Mullot, Ph. Balcou, P. Mercére, and Ph. Zeitoun, "Imaging and quality assessment of high-harmonic focal spots," Opt. Lett. 28, 1049-1051 (2003).
[CrossRef] [PubMed]

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

Villoresi, P.

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

Watanabe, M.

M. Yamamoto, M. Yanagihara, H. Kimura, and M. Watanabe, "Soft x-ray multilayer optics for use with synchrotron radiation," J. Jpn. Soc. Sync. Rad. Res. 9, 16-39 (1996; in Japanese).

Weihe, F.

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

Witte, K.

N. A. Papadogiannis, L. A. A. Nikolopoulos, D. Charalambidis, G. D. Tsakiris, P. Tzallas, and K. Witte, "Two-photon ionization of He through a superposition of higher harmonics," Phys. Rev. Lett. 90, 133902 (2003).
[CrossRef] [PubMed]

Wobrauschek, P.

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Yamamoto, M.

M. Yamamoto, M. Yanagihara, H. Kimura, and M. Watanabe, "Soft x-ray multilayer optics for use with synchrotron radiation," J. Jpn. Soc. Sync. Rad. Res. 9, 16-39 (1996; in Japanese).

Yanagihara, M.

M. Yamamoto, M. Yanagihara, H. Kimura, and M. Watanabe, "Soft x-ray multilayer optics for use with synchrotron radiation," J. Jpn. Soc. Sync. Rad. Res. 9, 16-39 (1996; in Japanese).

Zeitoun, Ph.

Appl. Opt. (1)

At. Data Nucl. Data Tables (1)

B. L. Henke, E. M. Gullikson, and J. C. Davis, "X-ray interactions: photoabsorption, scattering, transmission, and reflection at E = 50-30000 eV, Z = 1-92," At. Data Nucl. Data Tables 54, 290 (1993).
[CrossRef]

IEEE J. Quantum Electron. (1)

A. E. Siegman and S. W. Townsend, "Output beam propagation and beam quality from a multimode stable-cavity laser," IEEE J. Quantum Electron. 29, 1212-1217 (1993).
[CrossRef]

J. Jpn. Soc. Sync. Rad. Res. (1)

M. Yamamoto, M. Yanagihara, H. Kimura, and M. Watanabe, "Soft x-ray multilayer optics for use with synchrotron radiation," J. Jpn. Soc. Sync. Rad. Res. 9, 16-39 (1996; in Japanese).

J. Mod. Opt. (1)

B. Shan, S. Ghimire, and Z. Chang, "Generation of the attosecond extreme ultraviolet supercontinuum by a polarization gating," J. Mod. Opt. 52, 277-283 (2005).
[CrossRef]

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

Opt. Lett. (3)

Phys. Rev. A (1)

E. Takahashi, Y. Nabekawa, T. Otsuka, M. Obara, and K. Midorikawa, "Generation of highly coherent submicrojoule soft x rays by high-order harmonics," Phys. Rev. A 66, 021802 (2002).
[CrossRef]

Phys. Rev. Lett. (7)

S. Kazamias, D. Douillet, F. Weihe, C. Valentin, A. Rousse, S. Sebban, G. Grillon, F. Augé, D. Hulin, and Ph. Balcou, "Global optimization of high harmonic generation," Phys. Rev. Lett. 90, 193901 (2003).
[CrossRef] [PubMed]

J. J. Macklin, J. D. Kmetec, and C. L. Gordon III, "High-order harmonic generation using intense femtosecond pulses," Phys. Rev. Lett. 70, 766-769 (1993).
[CrossRef] [PubMed]

Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, "Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam," Phys. Rev. Lett. 82, 1422-1425 (1999).
[CrossRef]

C. G. Durfee III, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, "Phase matching of high-order harmonics in hollow waveguides," Phys. Rev. Lett. 83, 2187-2190 (1999).
[CrossRef]

M. Nisoli, E. Priori, G. Sansone, S. Stagira, G. Cerullo, S. De Silvestri, C. Altucci, R. Bruzzese and C. de Lisio, P. Villoresi, L. Poletto, M. Pascolini, and G. Tondello, "High-brightness high-order harmonic generation by truncated Bessel beams in the sub-10-fs regime," Phys. Rev. Lett. 88, 033902 (2002).
[CrossRef] [PubMed]

N. A. Papadogiannis, L. A. A. Nikolopoulos, D. Charalambidis, G. D. Tsakiris, P. Tzallas, and K. Witte, "Two-photon ionization of He through a superposition of higher harmonics," Phys. Rev. Lett. 90, 133902 (2003).
[CrossRef] [PubMed]

Y. Nabekawa, H. Hasegawa, E. J. Takahashi, and K. Midorikawa, "Production of doubly charged helium ions by two-photon absorption of an intense sub-10-fs soft x-ray pulse at 42 eV photon energy," Phys. Rev. Lett. 94, 043001 (2005).
[CrossRef] [PubMed]

Science (1)

Ch. Spielmann, N. H. Burnett, S. Sartania, R. Koppitsch, M. Schnürer, C. Kan, M. Lenzner, P. Wobrauschek, and F. Krausz, "Generation of coherent x-rays in the water window using 5-femtosecond laser pulses," Science 278, 661-664 (1997).
[CrossRef]

Other (3)

J.-F. Hergott, M. Kovacev, H. Merdji, C. Hubert, Y. Mairesse, E. Jean, P. Breger, P. Agostini, B. Carré, and P. Saliéres, "Extreme-ultraviolet high-order harmonic pulses in the microjoule range," Phys. Rev. A 66, 021801 (2002).

J. Strong, Procedures in Experimental Physics (Prentice-Hall, 1938), p. 69.

A. Amano, Toshiba Corporate Manufacturing Engineering Center, Yokohama 234-0017 Japan (personal communication, 2001).

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Figures (7)

Fig. 1
Fig. 1

Schematic of an ellipsoidal mirror used for focusing harmonic beams.

Fig. 2
Fig. 2

Typical Foucault image of the platinum-coated ellipsoidal mirror obtained by using a He–Ne laser.

Fig. 3
Fig. 3

Top, typical spectrograph and bottom, spectral intensity of the harmonic waves generated in argon.

Fig. 4
Fig. 4

Reflectivities and relative intensities of the 21st–33rd harmonic components as a function of wavelength. The solid and dotted curves correspond to the calculated reflectivities for S- and P-polarized light, respectively. The open squares and filled circles show the relative intensities after reflection for s- and p-polarized light, respectively, calculated from the experimental spectrum and the reflectivities.

Fig. 5
Fig. 5

Experimental setup for imaging the focused profiles of high-order harmonics. ICCD, intensified charge-coupled device.

Fig. 6
Fig. 6

Focused beam spot size of the harmonic waves as a function of distance from the ellipsoidal mirror. The best-fit curve based on Eq. (2) is shown by the solid curve.

Fig. 7
Fig. 7

Typical focal spot image for the harmonic beams. The horizontal (right, top) and the vertical (right, bottom) profiles are also shown.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

R = R 0 exp ( 4 π σ cos θ λ ) 2 ,
ω ( z ) = ω 0 [ ( 1 + z R 0 ) 2 + ( M 2 λ z π ω 0     2 ) ] 1 / 2 ,

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