Abstract

Generation of coherent short-wavelength radiation across a plasma column is dramatically improved under traveling-wave excitation (TWE). The latter is optimized when its propagation is close to the speed of light, which implies small-angle target-irradiation. Yet, short-wavelength lasing needs large irradiation angles in order to increase the optical penetration of the pump into the plasma core. Pulse-front back-tilt is considered to overcome such trade-off. In fact, the TWE speed depends on the pulse-front slope (envelope of amplitude), whereas the optical penetration depth depends on the wave-front slope (envelope of phase). Pulse-front tilt by means of compressor misalignment was found effective only if coupled with a high-magnification front-end imaging/focusing component. It is concluded that speed matching should be accomplished with minimal compressor misalignment and maximal imaging magnification.

© 2012 Optical Society of America

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References

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  1. Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
    [CrossRef]
  2. J. Dunn, A. I. Osterheld, L. Yuelin, J. Nilsen, and V. N. Shlyaptsev, “Transient collisional excitation x-ray lasers with 1-ps tabletop drivers,” IEEE Sel. Top. Quantum Electron. 5, 1441–1446 (1999).
    [CrossRef]
  3. A. Klisnick, D. Ros, P. Zeitoun, A. Carillon, P. Fourcade, S. Hubert, G. Jamelot, C. L. S. Lewis, A. Mac Phee, R. O’Rourcke, R. Keenan, P. Nickles, K. Janulewicz, M. Kalashnikov, J. Warwick, J. C. Chanteloup, A. Migus, E. Salmon, C. Sauteret, and J. P. Zou, “Transient pumping of Ni-like Ag with a sub-ps pump pulse in a travelling-wave geometry,”J. Opt. Soc. Am. B 17, 1093–1097 (2000).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  7. G. Pretzler, A. Kasper, and K. J. Witte, “Angular chirp and tilted light pulses in CPA lasers,” Appl. Phys. B 70, 1–9 (2000).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2011 (1)

2004 (2)

S. Akturk, X. Gu, E. Zeek, and R. Trebino, “Pulse-front tilt caused by spatial and temporal chirp,” Opt. Express 12, 4399–4410 (2004).
[CrossRef]

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

2000 (3)

1999 (1)

J. Dunn, A. I. Osterheld, L. Yuelin, J. Nilsen, and V. N. Shlyaptsev, “Transient collisional excitation x-ray lasers with 1-ps tabletop drivers,” IEEE Sel. Top. Quantum Electron. 5, 1441–1446 (1999).
[CrossRef]

1997 (1)

P. V. Nickles, V. N. Shlyaptsev, M. Kalachnikov, M. Schnuerer, I. Will, and W. Sandner, “Short pulse x-Ray laser at 32.6 nm based on transient gain in Ne-like titanium,” Phys. Rev. Lett. 78, 2748–2751 (1997).
[CrossRef]

1994 (1)

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, “Temporal aberrations due to misalignments of a stretcher-compressor system and compensation,” IEEE J. Quantum Electron. 30, 1662–1670 (1994).
[CrossRef]

1985 (1)

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 55, 447–449 (1985).
[CrossRef]

Akturk, S.

Aubert, D.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Balcou, Ph.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Balmer, J. E.

Blanchot, N.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, “Temporal aberrations due to misalignments of a stretcher-compressor system and compensation,” IEEE J. Quantum Electron. 30, 1662–1670 (1994).
[CrossRef]

Bleiner, D.

Burgy, F.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Carillon, A.

Carillon, M.

Chanteloup, J. C.

de Lachze-Murel, G.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Diels, J. C.

J. C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Elsevier, 2006).

Douillet, D.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Dunn, J.

J. Dunn, A. I. Osterheld, L. Yuelin, J. Nilsen, and V. N. Shlyaptsev, “Transient collisional excitation x-ray lasers with 1-ps tabletop drivers,” IEEE Sel. Top. Quantum Electron. 5, 1441–1446 (1999).
[CrossRef]

Faivre, G.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Fajardo, M.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Fiorini, C.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, “Temporal aberrations due to misalignments of a stretcher-compressor system and compensation,” IEEE J. Quantum Electron. 30, 1662–1670 (1994).
[CrossRef]

Fourcade, P.

Fulop, J. A.

J. A. Fulop and J. Hebling, “Applications of tilted-pulse-front excitation,” in Recent Optical and Photonic Technologies, K. Y. Kim, ed. (InTech, 2010).

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (Roberts & Co., 2004).

Gu, X.

Hallou, A.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Hebling, J.

J. A. Fulop and J. Hebling, “Applications of tilted-pulse-front excitation,” in Recent Optical and Photonic Technologies, K. Y. Kim, ed. (InTech, 2010).

Hubert, S.

Jamelot, G.

Janulewicz, K.

Kalachnikov, M.

Kalashnikov, M.

Kasper, A.

G. Pretzler, A. Kasper, and K. J. Witte, “Angular chirp and tilted light pulses in CPA lasers,” Appl. Phys. B 70, 1–9 (2000).
[CrossRef]

Kazamias, S.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Keenan, R.

Klisnick, A.

le Pape, S.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Lefrou, T.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Lewis, C. L. S.

Mercdji, P.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Merdji, H.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Migus, A.

Mocek, T.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Morlens, A. S.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Mourou, G.

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 55, 447–449 (1985).
[CrossRef]

Nickles, P.

Nickles, P. V.

P. V. Nickles, V. N. Shlyaptsev, M. Kalachnikov, M. Schnuerer, I. Will, and W. Sandner, “Short pulse x-Ray laser at 32.6 nm based on transient gain in Ne-like titanium,” Phys. Rev. Lett. 78, 2748–2751 (1997).
[CrossRef]

Nilsen, J.

J. Dunn, A. I. Osterheld, L. Yuelin, J. Nilsen, and V. N. Shlyaptsev, “Transient collisional excitation x-ray lasers with 1-ps tabletop drivers,” IEEE Sel. Top. Quantum Electron. 5, 1441–1446 (1999).
[CrossRef]

O’Rourcke, R.

Osterheld, A. I.

J. Dunn, A. I. Osterheld, L. Yuelin, J. Nilsen, and V. N. Shlyaptsev, “Transient collisional excitation x-ray lasers with 1-ps tabletop drivers,” IEEE Sel. Top. Quantum Electron. 5, 1441–1446 (1999).
[CrossRef]

Phee, A. Mac

Pretzler, G.

G. Pretzler, A. Kasper, and K. J. Witte, “Angular chirp and tilted light pulses in CPA lasers,” Appl. Phys. B 70, 1–9 (2000).
[CrossRef]

Ros, D.

Rousseau, J. P.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Rouyer, C.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, “Temporal aberrations due to misalignments of a stretcher-compressor system and compensation,” IEEE J. Quantum Electron. 30, 1662–1670 (1994).
[CrossRef]

Rudolph, W.

J. C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Elsevier, 2006).

Salmon, E.

Sandner, W.

P. V. Nickles, V. N. Shlyaptsev, M. Kalachnikov, M. Schnuerer, I. Will, and W. Sandner, “Short pulse x-Ray laser at 32.6 nm based on transient gain in Ne-like titanium,” Phys. Rev. Lett. 78, 2748–2751 (1997).
[CrossRef]

Sauteret, C.

Schnuerer, M.

P. V. Nickles, V. N. Shlyaptsev, M. Kalachnikov, M. Schnuerer, I. Will, and W. Sandner, “Short pulse x-Ray laser at 32.6 nm based on transient gain in Ne-like titanium,” Phys. Rev. Lett. 78, 2748–2751 (1997).
[CrossRef]

Sebban, S.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Seznec, S.

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, “Temporal aberrations due to misalignments of a stretcher-compressor system and compensation,” IEEE J. Quantum Electron. 30, 1662–1670 (1994).
[CrossRef]

Shlyaptsev, V. N.

J. Dunn, A. I. Osterheld, L. Yuelin, J. Nilsen, and V. N. Shlyaptsev, “Transient collisional excitation x-ray lasers with 1-ps tabletop drivers,” IEEE Sel. Top. Quantum Electron. 5, 1441–1446 (1999).
[CrossRef]

P. V. Nickles, V. N. Shlyaptsev, M. Kalachnikov, M. Schnuerer, I. Will, and W. Sandner, “Short pulse x-Ray laser at 32.6 nm based on transient gain in Ne-like titanium,” Phys. Rev. Lett. 78, 2748–2751 (1997).
[CrossRef]

Staub, F.

Strickland, D.

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 55, 447–449 (1985).
[CrossRef]

Trebino, R.

Valentin, C.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Warwick, J.

Will, I.

P. V. Nickles, V. N. Shlyaptsev, M. Kalachnikov, M. Schnuerer, I. Will, and W. Sandner, “Short pulse x-Ray laser at 32.6 nm based on transient gain in Ne-like titanium,” Phys. Rev. Lett. 78, 2748–2751 (1997).
[CrossRef]

Witte, K. J.

G. Pretzler, A. Kasper, and K. J. Witte, “Angular chirp and tilted light pulses in CPA lasers,” Appl. Phys. B 70, 1–9 (2000).
[CrossRef]

Yuelin, L.

J. Dunn, A. I. Osterheld, L. Yuelin, J. Nilsen, and V. N. Shlyaptsev, “Transient collisional excitation x-ray lasers with 1-ps tabletop drivers,” IEEE Sel. Top. Quantum Electron. 5, 1441–1446 (1999).
[CrossRef]

Zeek, E.

Zeitoun, P.

Zeitoun, Ph.

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

J. C. Chanteloup, E. Salmon, C. Sauteret, A. Migus, Ph. Zeitoun, A. Klisnick, M. Carillon, S. Hubert, D. Ros, P. Nickles, and M. Kalachnikov, “Pulse-front control of 15-TW pulses with a tilted compressor, and application to the subpicosend traveling-wave pumping of a soft-x-ray laser,” J. Opt. Soc. Am. B 17, 151–157 (2000).
[CrossRef]

Zou, J. P.

Appl. Opt. (1)

Appl. Phys. B (1)

G. Pretzler, A. Kasper, and K. J. Witte, “Angular chirp and tilted light pulses in CPA lasers,” Appl. Phys. B 70, 1–9 (2000).
[CrossRef]

IEEE J. Quantum Electron. (1)

C. Fiorini, C. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, “Temporal aberrations due to misalignments of a stretcher-compressor system and compensation,” IEEE J. Quantum Electron. 30, 1662–1670 (1994).
[CrossRef]

IEEE Sel. Top. Quantum Electron. (1)

J. Dunn, A. I. Osterheld, L. Yuelin, J. Nilsen, and V. N. Shlyaptsev, “Transient collisional excitation x-ray lasers with 1-ps tabletop drivers,” IEEE Sel. Top. Quantum Electron. 5, 1441–1446 (1999).
[CrossRef]

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

Nature (1)

Ph. Zeitoun, G. Faivre, S. Sebban, T. Mocek, A. Hallou, M. Fajardo, D. Aubert, Ph. Balcou, F. Burgy, D. Douillet, S. Kazamias, G. de Lachze-Murel, T. Lefrou, S. le Pape, P. Mercdji, H. Merdji, A. S. Morlens, J. P. Rousseau, and C. Valentin, “A high-intensity highly coherent soft x-ray femtosecond laser seeded by a high harmonic beam,” Nature 431, 426–429 (2004).
[CrossRef]

Opt. Commun. (1)

D. Strickland and G. Mourou, “Compression of amplified chirped optical pulses,” Opt. Commun. 55, 447–449 (1985).
[CrossRef]

Opt. Express (1)

Phys. Rev. Lett. (1)

P. V. Nickles, V. N. Shlyaptsev, M. Kalachnikov, M. Schnuerer, I. Will, and W. Sandner, “Short pulse x-Ray laser at 32.6 nm based on transient gain in Ne-like titanium,” Phys. Rev. Lett. 78, 2748–2751 (1997).
[CrossRef]

Other (3)

J. A. Fulop and J. Hebling, “Applications of tilted-pulse-front excitation,” in Recent Optical and Photonic Technologies, K. Y. Kim, ed. (InTech, 2010).

J. W. Goodman, Introduction to Fourier Optics (Roberts & Co., 2004).

J. C. Diels and W. Rudolph, Ultrashort Laser Pulse Phenomena (Elsevier, 2006).

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Figures (10)

Fig. 1.
Fig. 1.

Schematic of the laser-produced plasma column generation. In (a) normal incidence irradiation is shown, such that a plasma column develops “hot spots” from which beamlets amplify in a refractive medium. In (b) beam profile is visualized. In (c) TWE scheme is shown, which homogenizes the profile (d) of the output short-wavelength beam.

Fig. 2.
Fig. 2.

Schematic of the pulse-front back-tilt technique to match the ASE speed with the propagation speed of the plasma traveling-wave at large angle of irradiation (here 45°).

Fig. 3.
Fig. 3.

Schematic of the compressor setup for the 1D Fourier optics computation. G is indicating the gratings, M is the folding mirror, F is the imaging optics, ε is the G2 tilt angle.

Fig. 4.
Fig. 4.

Pulse broadening at the beam boundary as a function of compressor misalignment.

Fig. 5.
Fig. 5.

Ratio of peak power in a uncompressed Ti:sapphire versus Nd:glass pulse as a function of compressor misalignment.

Fig. 6.
Fig. 6.

Pulse-front back-tilt right after the compressor (Ecomp in Fig. 3) as a function of compressor misalignment, and for a selection of laser pumps.

Fig. 7.
Fig. 7.

Pulse-front back-tilt at the target (Eimg in Fig. 3) as a function of compressor misalignment, and for a selection of laser pumps.

Fig. 8.
Fig. 8.

Traveling-wave excitation speed along the line focus, after speed matching with compressor-grating tilt, for a irradiation angle of 48° on the target.

Fig. 9.
Fig. 9.

Pulse-front tilt after the misaligned compressor versus concomitant pulse uncompression.

Fig. 10.
Fig. 10.

TWE speed obtained with a 11-fold imaging, showing feasibility of 1c speed matching even at an angle of irradiation of 48°. For comparison, Fig. 8 shows a more modest compensation since a factor of 2 lower magnification was considered there.

Equations (8)

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Estret(k,ω)=(1wo)exp[14(kxwo)2]×exp[(ωωo)(141Δω)2]×exp[iϕ22(ωωo)2].
EFSP(kx,Ω)=Eo(kx,Ω)exp[ikziz2kkx2],
EGD(kr,Ω)=1bEo(kr+γΩb,Ω),
Ecomp(kr,Ω)=1b1b2b3b4×Eo(1b1b2(1b3b4(kxγ4Ω+b4γ3Ω)γ2Ω+b2γ1Ω),Ω)×exp[iΔ2k[(kxγ4Ω+b4γ3Ωb2b3b4γ2Ωb2)2+(kxγ4Ωb4)2]]×exp[idk(kxγ4Ω+b4γ3Ωb3b4)2]×exp[2ik(d+Δ)].
ϕ(Ω)=ϕo+ϕ1Ω+ϕ2Ω22+ϕ3Ω36+
ϕ2=iΔkγ12Ω2,
ϕ2=λo2πc2(λoG)2Lcos3βoΩ2,
Eimg(r,Ω)=Ecomp(x,Ω)exp[ik2fr2].

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