Abstract
The lowest order of the SF-QED perturbation series is described by Furry picture Feynman diagrams with only one vertex. The only possible scattering process with only an electron in the initial state is an electron with initial momentum \(p_i^{\mu }=\left( \varepsilon _i,\varvec{p}_i\right) \) emitting a single photon with wave vector \(k_1^{\mu }=\omega _1n_1\) and thereby changing its momentum to \(p^{\mu }_f=(\varepsilon _f,\varvec{p}_f)\). The corresponding Feynman diagram is shown in Fig. 3.1
Nature uses only the longest threads to weave her patterns, so
that each small piece of her fabric reveals the organization of
the entire tapestry.
Richard P. Feynman
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
Reprinted figure with permission from [20]. Copyright (2003) by the American Physical Society.
References
M.E. Peskin, D.V. Schroeder, An Introduction to Quantum Field Theory (Westview Press, Boulder, 1995)
V.I. Ritus, Quantum effects of the interaction of elementary particles with an intense electromagnetic field. J. Russ. Laser Res. 6, 497 (1985)
C. Harvey, T. Heinzl, A. Ilderton, Signatures of high-intensity Compton scattering. Phys. Rev. A 79, 063407 (2009)
T. Heinzl, D. Seipt, B. Kämpfer, Beam-shape effects in nonlinear Compton and Thomson scattering. Phys. Rev. A 81, 022125 (2010)
A. Ilderton, Trident pair production in strong laser pulses. Phys. Rev. Lett. 106, 020404 (2011)
D. Seipt, B. Kämpfer, Nonlinear Compton scattering of ultrashort intense laser pulses. Phys. Rev. A 83, 022101 (2011)
E.S. Sarachik, G.T. Schappert, Classical theory of the scattering of intense laser radiation by free electrons. Phys. Rev. D 1, 2738 (1970)
Y.I. Salamin, F.H.M. Faisal, Ponderomotive scattering of electrons in intense laser fields. Phys. Rev. A 55, 3678 (1997)
M. Boca, V. Florescu, Nonlinear Compton scattering with a laser pulse. Phys. Rev. A 80, 053403 (2009)
F. Mackenroth, A. Di Piazza, Nonlinear Compton scattering in ultrashort laser pulses. Phys. Rev. A 83, 032106 (2012)
A.H. Compton, A quantum theory of the scattering of x-rays by light elements. Phys. Rev. 21, 483 (1923)
F. Mandl, G. Shaw, Quantum Field Theory (Wiley, New York, 1984)
L.D. Landau, E.M. Lifschitz, Lehrbuch der Theoretischen Physik - Band 4: Quantenelektrodynamik (Akademie Verlag, Berlin, 1991)
F. Mackenroth, A. Di Piazza, C.H. Keitel, Determining the carrier-envelope phase of intense few-cycle laser pulses. Phys. Rev. Lett. 105, 063903 (2010)
F.W. Olver, D.W. Lozier, R.F. Boisvert, C.W. Clark, NIST Handbook of Mathematical Functions (Cambridge University Press, New York, 2010)
F. Krausz, M. Ivanov, Attosecond physics. Rev. Mod. Phys. 81, 163 (2009)
PFS, Petawatt Field Synthesizer http://www.attoworld.de/Home/ourResearch/ToolsAndTechniques/Petawatt-scaleSourceOfIrLight/index.html
E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuska, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, F. Krausz, Direct measurement of light waves. Science 305, 1267 (2004)
M. Kress, T. Loffler, M.D. Thomson, R. Dorner, H. Gimpel, K. Zrost, T. Ergler, R. Moshammer, U. Morgner, J. Ullrich, H.G. Roskos, Determination of the carrier-envelope phase of few-cycle laser pulses with terahertz-emission spectroscopy. Nat. Phys. 2, 327 (2006)
G.G. Paulus, F. Lindner, H. Walther, A. Baltuska, E. Goulielmakis, M. Lezius, F. Krausz, Measurement of the phase of few-cycle laser pulses. Phys. Rev. Lett 91, 253004 (2003)
T. Wittmann, B. Horvath, W. Helml, M.G. Schaetzel, X. Gu, A. Cavalieri, G.G. Paulus, R. Kienberger, Single-shot carrier-envelope phase measurement of few-cycle laser pulses. Nat. Phys. 5, 357 (2009)
S.P.D. Mangles, C.D. Murphy, Z. Najmudin, A.G.R. Thomas, J.L. Collier, A.E. Dangor, E.J. Divall, P.S. Foster, J.G. Gallacher, C.J. Hooker, D.A. Jaroszynski, A.J. Langley, W.B. Mori, P.A. Norreys, F.S. Tsung, R. Viskup, B.R. Walton, K. Krushelnick, Monoenergetic beams of relativistic electrons from intense laser-plasma interactions. Nature 431, 535 (2004)
C.G.R. Geddes, C. Toth, J. van Tilborg, E. Esarey, C.B. Schroeder, D. Bruhwiler, C. Nieter, J. Cary, W.P. Leemans, High-quality electron beams from a laser wakefield accelerator using plasma-channel guiding. Nature 431, 538 (2004)
J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko, E. Lefebvre, J.P. Rousseau, F. Burgy, V. Malka, A laser-plasma accelerator producing monoenergetic electron beams. Nature 431, 541 (2004)
W.P. Leemans, B. Nagler, A.J. Gonsalves, C. Toth, K. Nakamura, C.G.R. Geddes, E. Esarey, C.B. Schroeder, S.M. Hooker, GeV electron beams from a centimetre-scale accelerator. Nat. Phys. 2, 696 (2006)
C.E. Clayton, J.E. Ralph, F. Albert, R.A. Fonseca, S.H. Glenzer, C. Joshi, W. Lu, K.A. Marsh, S.F. Martins, W.B. Mori, A. Pak, F.S. Tsung, B.B. Pollock, J.S. Ross, L.O. Silva, D.H. Froula, Self-guided laser wakefield acceleration beyond 1 GeV using ionization-induced injection. Phys. Rev. Lett. 105, 105003 (2010)
G.D. Tsakiris, K. Eidmann, J. Meyer-ter-Vehn, F. Krausz, Route to intense single attosecond pulses. New. J. Phys. 8, 19 (2006)
V. Yanovsky, V. Chvykov, G. Kalinchenko, P. Rousseau, T. Planchon, T. Matsuoka, A. Maksimchuk, J. Nees, G. Cheriaux, G. Mourou, K. Krushelnick, Ultra-high intensity- 300-TW laser at 0.1 Hz repetition rate. Opt. Express. 16, 2109 (2008)
L.S. Brown, T.W.B. Kibble, Interaction of intense laser beams with electrons. Phys. Rev. 133, A705 (1964)
A.I. Nikishov, V.I. Ritus, Quantum processes in the field of a plane electromagnetic wave and in a constant field. 1. Sov. Phys. JETP 19, 529 (1964)
J.H. Eberly, Proposed experiment for observation of nonlinear Compton wavelength shift. Phys. Rev. Lett. 15, 91 (1965)
H.R. Reiss, Proposed experiment to detect the mass shift of an electron in an intense photon field. Phys. Rev. Lett. 17, 1162 (1966)
J.H. Eberly, H.R. Reiss, Electron self-energy in intense plane-wave field. Phys. Rev. 145, 1035 (1966)
J.H. Eberly, A. Sleeper, Trajectory and mass shift of a classical electron in a radiation pulse. Phys. Rev. 176, 1570 (1968)
T.W.B. Kibble, A. Salam, J. Strathdee, Intensity-dependent mass shift and symmetry breaking. Nucl. Phys. B 96, 255 (1975)
C. Harvey, T. Heinzl, A. Ilderton, M. Marklund, The intensity dependent mass shift: existence, universality and detection. Phys. Rev. Lett. 109, 100402 (2012)
T. Heinzl, A. Ilderton, M. Marklund, Finite size effects in stimulated laser pair production. Phys. Lett. B 692, 250 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Mackenroth, K.F. (2014). Nonlinear Single Compton Scattering. In: Quantum Radiation in Ultra-Intense Laser Pulses. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-07740-6_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-07740-6_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07739-0
Online ISBN: 978-3-319-07740-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)