Abstract

The measurement of peak laser intensities exceeding 1020W/cm2 is in general a very challenging task. We suggest a simple method to accurately measure such high intensities up to about 1023W/cm2, by colliding a beam of ultrarelativistic electrons with the laser pulse. The method exploits the high directionality of the radiation emitted by ultrarelativistic electrons via nonlinear Thomson scattering. Initial electron energies well within the reach of laser wake-field accelerators are required, allowing in principle for an all-optical setup. Accuracies of the order of 10% are theoretically envisaged.

© 2012 Optical Society of America

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References

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  1. D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
  2. V. Yanovsky, V. Chvykov, G. Kalinchenko, P. Rousseau, T. Planchon, T. Matsuoka, A. Maksimchuk, J. Nees, G. Cheriaux, G. Mourou, and K. Krushelnick, Opt. Express 16, 2109 (2008).
    [CrossRef]
  3. R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).
  4. A. Di Piazza, C. Müller, K. Z. Hatsagortsyan, and C. H. Keitel, arXiv:1111.3886 (2011).
  5. A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
    [CrossRef]
  6. S.-W. Bahk, P. Rousseau, T. A. Planchon, V. Chvykov, G. Kalintchenko, A. Maksimchuk, G. Mourou, and V. Yanovsky, Opt. Lett. 29, 2837 (2004).
    [CrossRef]
  7. C. Smeenk, J. Z. Salvail, L. Arissian, P. B. Corkum, C. T. Hebeisen, and A. Staudte, Opt. Express 19, 9336 (2011).
    [CrossRef]
  8. H. G. Hetzheim and C. H. Keitel, Phys. Rev. Lett. 102, 083003 (2009).
    [CrossRef]
  9. J. Gao, Appl. Phys. Lett. 88, 091105 (2006).
  10. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Butterworth-Heinemann, , 1975).
  11. C. Harvey, T. Heinzl, N. Iji, and K. Langfeld, Phys. Rev. D 83, 076013 (2011).
    [CrossRef]
  12. A. Di Piazza, Lett. Math. Phys. 83, 305 (2008).
    [CrossRef]
  13. Y. I. Salamin, G. R. Mocken, and C. H. Keitel, Phys. Rev. ST Accel. Beams 5, 101301 (2002).
    [CrossRef]
  14. V. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Electromagnetic Processes at High Energies in Oriented Single Crystals (World Scientific, 1998).
  15. E. Esarey, C. B. Schroeder, and W. P. Leemans, Rev. Mod. Phys. 81, 1229 (2009).
    [CrossRef]
  16. R. J. Glauber, Phys. Rev. 84, 395 (1951).
    [CrossRef]

2011 (3)

A. Di Piazza, C. Müller, K. Z. Hatsagortsyan, and C. H. Keitel, arXiv:1111.3886 (2011).

C. Harvey, T. Heinzl, N. Iji, and K. Langfeld, Phys. Rev. D 83, 076013 (2011).
[CrossRef]

C. Smeenk, J. Z. Salvail, L. Arissian, P. B. Corkum, C. T. Hebeisen, and A. Staudte, Opt. Express 19, 9336 (2011).
[CrossRef]

2010 (1)

R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).

2009 (2)

E. Esarey, C. B. Schroeder, and W. P. Leemans, Rev. Mod. Phys. 81, 1229 (2009).
[CrossRef]

H. G. Hetzheim and C. H. Keitel, Phys. Rev. Lett. 102, 083003 (2009).
[CrossRef]

2008 (2)

2006 (2)

J. Gao, Appl. Phys. Lett. 88, 091105 (2006).

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

2004 (1)

2002 (1)

Y. I. Salamin, G. R. Mocken, and C. H. Keitel, Phys. Rev. ST Accel. Beams 5, 101301 (2002).
[CrossRef]

1985 (1)

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).

1951 (1)

R. J. Glauber, Phys. Rev. 84, 395 (1951).
[CrossRef]

Arissian, L.

Bahk, S.-W.

Baier, V. N.

V. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Electromagnetic Processes at High Energies in Oriented Single Crystals (World Scientific, 1998).

Beg, F.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Bingham, R.

R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).

Cairns, R. A.

R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).

Cheriaux, G.

Chowdhury, E. A.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Chvykov, V.

Corkum, P. B.

Di Piazza, A.

A. Di Piazza, C. Müller, K. Z. Hatsagortsyan, and C. H. Keitel, arXiv:1111.3886 (2011).

A. Di Piazza, Lett. Math. Phys. 83, 305 (2008).
[CrossRef]

Edens, A.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Esarey, E.

E. Esarey, C. B. Schroeder, and W. P. Leemans, Rev. Mod. Phys. 81, 1229 (2009).
[CrossRef]

Fiuza, F.

R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).

Fonseca, R. A.

R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).

Freeman, R. R.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Gao, J.

J. Gao, Appl. Phys. Lett. 88, 091105 (2006).

Geissel, M.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Glauber, R. J.

R. J. Glauber, Phys. Rev. 84, 395 (1951).
[CrossRef]

Harvey, C.

C. Harvey, T. Heinzl, N. Iji, and K. Langfeld, Phys. Rev. D 83, 076013 (2011).
[CrossRef]

Hatsagortsyan, K. Z.

A. Di Piazza, C. Müller, K. Z. Hatsagortsyan, and C. H. Keitel, arXiv:1111.3886 (2011).

Hebeisen, C. T.

Heinzl, T.

C. Harvey, T. Heinzl, N. Iji, and K. Langfeld, Phys. Rev. D 83, 076013 (2011).
[CrossRef]

Hetzheim, H. G.

H. G. Hetzheim and C. H. Keitel, Phys. Rev. Lett. 102, 083003 (2009).
[CrossRef]

Iji, N.

C. Harvey, T. Heinzl, N. Iji, and K. Langfeld, Phys. Rev. D 83, 076013 (2011).
[CrossRef]

Kalinchenko, G.

Kalintchenko, G.

Katkov, V. M.

V. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Electromagnetic Processes at High Energies in Oriented Single Crystals (World Scientific, 1998).

Keitel, C. H.

A. Di Piazza, C. Müller, K. Z. Hatsagortsyan, and C. H. Keitel, arXiv:1111.3886 (2011).

H. G. Hetzheim and C. H. Keitel, Phys. Rev. Lett. 102, 083003 (2009).
[CrossRef]

Y. I. Salamin, G. R. Mocken, and C. H. Keitel, Phys. Rev. ST Accel. Beams 5, 101301 (2002).
[CrossRef]

Krushelnick, K.

Landau, L. D.

L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Butterworth-Heinemann, , 1975).

Langfeld, K.

C. Harvey, T. Heinzl, N. Iji, and K. Langfeld, Phys. Rev. D 83, 076013 (2011).
[CrossRef]

Leemans, W. P.

E. Esarey, C. B. Schroeder, and W. P. Leemans, Rev. Mod. Phys. 81, 1229 (2009).
[CrossRef]

Lifshitz, E. M.

L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Butterworth-Heinemann, , 1975).

Link, A.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Maksimchuk, A.

Matsuoka, T.

Mocken, G. R.

Y. I. Salamin, G. R. Mocken, and C. H. Keitel, Phys. Rev. ST Accel. Beams 5, 101301 (2002).
[CrossRef]

Morrison, J. T.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Mourou, G.

Müller, C.

A. Di Piazza, C. Müller, K. Z. Hatsagortsyan, and C. H. Keitel, arXiv:1111.3886 (2011).

Nees, J.

Norreys, P. A.

R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).

Offermann, D.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Ovchinnikov, V. M.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Pasley, J.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Planchon, T.

Planchon, T. A.

Porter, J. L.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Rambo, P.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Rousseau, P.

Salamin, Y. I.

Y. I. Salamin, G. R. Mocken, and C. H. Keitel, Phys. Rev. ST Accel. Beams 5, 101301 (2002).
[CrossRef]

Salvail, J. Z.

Schroeder, C. B.

E. Esarey, C. B. Schroeder, and W. P. Leemans, Rev. Mod. Phys. 81, 1229 (2009).
[CrossRef]

Schwarz, J.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Shipton, E.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Silva, L. O.

R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).

Smeenk, C.

Staudte, A.

Strakhovenko, V. M.

V. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Electromagnetic Processes at High Energies in Oriented Single Crystals (World Scientific, 1998).

Strickland, D.

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).

Trines, R. M. G. M.

R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).

Woerkom, L. V.

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Yanovsky, V.

Appl. Phys. Lett. (1)

J. Gao, Appl. Phys. Lett. 88, 091105 (2006).

Lett. Math. Phys. (1)

A. Di Piazza, Lett. Math. Phys. 83, 305 (2008).
[CrossRef]

Nat. Phys. (1)

R. M. G. M. Trines, F. Fiuza, R. Bingham, R. A. Fonseca, L. O. Silva, R. A. Cairns, and P. A. Norreys, Nat. Phys. 7, 87 (2010).

Opt. Commun. (1)

D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. (1)

R. J. Glauber, Phys. Rev. 84, 395 (1951).
[CrossRef]

Phys. Rev. D (1)

C. Harvey, T. Heinzl, N. Iji, and K. Langfeld, Phys. Rev. D 83, 076013 (2011).
[CrossRef]

Phys. Rev. Lett. (1)

H. G. Hetzheim and C. H. Keitel, Phys. Rev. Lett. 102, 083003 (2009).
[CrossRef]

Phys. Rev. ST Accel. Beams (1)

Y. I. Salamin, G. R. Mocken, and C. H. Keitel, Phys. Rev. ST Accel. Beams 5, 101301 (2002).
[CrossRef]

Rev. Mod. Phys. (1)

E. Esarey, C. B. Schroeder, and W. P. Leemans, Rev. Mod. Phys. 81, 1229 (2009).
[CrossRef]

Rev. Sci. Instrum. (1)

A. Link, E. A. Chowdhury, J. T. Morrison, V. M. Ovchinnikov, D. Offermann, L. V. Woerkom, R. R. Freeman, J. Pasley, E. Shipton, F. Beg, P. Rambo, J. Schwarz, M. Geissel, A. Edens, and J. L. Porter, Rev. Sci. Instrum. 77, 10E723 (2006).
[CrossRef]

Other (3)

A. Di Piazza, C. Müller, K. Z. Hatsagortsyan, and C. H. Keitel, arXiv:1111.3886 (2011).

V. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Electromagnetic Processes at High Energies in Oriented Single Crystals (World Scientific, 1998).

L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Butterworth-Heinemann, , 1975).

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Figures (2)

Fig. 1.
Fig. 1.

Comparison of the direction of propagation of the electron with (solid red curve) and without (dash-dotted black curve) taking into account RR, as a function of the plane-wave phase φ. Numerical parameters are given in the text.

Fig. 2.
Fig. 2.

Angular-resolved emitted energy spectrum d2W/dΩdω (inner plot) and total energy emitted dW/dΩ per unit solid angle (outer plot), calculated for numerical parameters given in the text. Vertical red lines indicate our theoretical predictions for the maximal emission angle θm, with (solid line) and without (dashed line) RR included.

Equations (8)

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

tanθ(φ)=ξ0γ0f(φ)1ξ02f2(φ)/4γ02,
I0[1020W/cm2]=0.28[ω0[eV]ε0[MeV]sinθm1+cosθm]2,
duμdτ=emFμνuν+23e2m[em(αFμν)uαuνe2m2FμνFανuα+e2m2(Fανuν)(Fαλuλ)uμ],
tanθ(φ)=ξ0γ0I(φ)1[h2(φ)1+ξ02I2(φ)]/4γ02,
h(φ)=1+43αω0mγ0ξ020φdζ[f(ζ)]2,
I(φ)=0φdζ[h(ζ)f(ζ)+43αω0mγ0f(ζ)],
d2WdΩdω=e2ω24π2|dtn×(n×β(t))eiω(tn·r(t))|2,
ΔI0I0=2(Δε0ε0)2+(Δω0ω0)2+(Δθmsinθm)2,

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