Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 218
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Bachau, H. Dondera, M. and Florescu, V. 2016. Stimulated Compton scattering of soft X-ray radiation by hydrogen. Journal of Modern Optics, Vol. 63, Issue. 4, p. 402.

    Batelaan, Herman Jones, Eric Huang, Wayne Cheng-Wei and Bach, Roger 2016. Momentum exchange in the electron double-slit experiment. Journal of Physics: Conference Series, Vol. 701, p. 012007.

    García de Abajo, F. J. Barwick, B. and Carbone, F. 2016. Electron diffraction by plasmon waves. Physical Review B, Vol. 94, Issue. 4,

    Haas, Fernando and Manrique, Marcos Antonio Albarracin 2016. Effective photon mass and exact translating quantum relativistic structures. Physics of Plasmas, Vol. 23, Issue. 4, p. 042102.

    Jones, Eric Becker, Maria Luiten, Jom and Batelaan, Herman 2016. Laser control of electron matter waves. Laser & Photonics Reviews, Vol. 10, Issue. 2, p. 214.

    Kruit, P. Hobbs, R.G. Kim, C-S. Yang, Y. Manfrinato, V.R. Hammer, J. Thomas, S. Weber, P. Klopfer, B. Kohstall, C. Juffmann, T. Kasevich, M.A. Hommelhoff, P. and Berggren, K.K. 2016. Designs for a quantum electron microscope. Ultramicroscopy, Vol. 164, p. 31.

    Schmidt, Felix Mayer, Daniel Hohmann, Michael Lausch, Tobias Kindermann, Farina and Widera, Artur 2016. Precision measurement of theRb87tune-out wavelength in the hyperfine ground stateF=1at 790 nm. Physical Review A, Vol. 93, Issue. 2,

    van den Berg, R. Wouters, B. Eliëns, S. De Nardis, J. Konik, R. M. and Caux, J.-S. 2016. Separation of Time Scales in a Quantum Newton’s Cradle. Physical Review Letters, Vol. 116, Issue. 22,

    Andriyash, I. A. Tikhonchuk, V. T. Malka, V. D’Humières, E. and Balcou, Ph. 2015. Amplified short-wavelength light scattered by relativistic electrons in the laser-induced optical lattice. Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue. 5,

    Dabagov, S. B. Dik, A. V. and Frolov, E. N. 2015. Channeling of electrons in a crossed laser field. Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue. 6,

    Dellweg, Matthias M and Müller, Carsten 2015. Influence of laser pulse shape and spectral composition on strong-field Kapitza-Dirac scattering. Journal of Physics: Conference Series, Vol. 594, p. 012015.

    Dellweg, Matthias M. and Müller, Carsten 2015. Kapitza-Dirac scattering of electrons from a bichromatic standing laser wave. Physical Review A, Vol. 91, Issue. 6,

    Erhard, Rico and Bauke, Heiko 2015. Spin effects in Kapitza-Dirac scattering at light with elliptical polarization. Physical Review A, Vol. 92, Issue. 4,

    Feist, Armin Echternkamp, Katharina E. Schauss, Jakob Yalunin, Sergey V. Schäfer, Sascha and Ropers, Claus 2015. Quantum coherent optical phase modulation in an ultrafast transmission electron microscope. Nature, Vol. 521, Issue. 7551, p. 200.

    Frolov, E.N. Dik, A.V. and Dabagov, S.B. 2015. Beam deflection by planar–curved laser channels. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 355, p. 206.

    Hakobyan, M V Red’kov, V M and Ishkhanyan, A M 2015. Adiabatic asymmetric scattering of atoms in the field of a standing wave. Laser Physics, Vol. 25, Issue. 6, p. 066001.

    Handali, Jonathan Shakya, Pratistha and Barwick, Brett 2015. Creating electron vortex beams with light. Optics Express, Vol. 23, Issue. 4, p. 5236.

    Hayrapetyan, Armen G Grigoryan, Karen K Götte, Jörg B and Petrosyan, Rubik G 2015. Kapitza–Dirac effect with traveling waves. New Journal of Physics, Vol. 17, Issue. 8, p. 082002.

    Kaplan, A E 2015. Fully QED/relativistic theory of light pressure on free electrons by isotropic radiation. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 48, Issue. 16, p. 165001.

    Reeves, J. Krinner, L. Stewart, M. Pazmiño, A. and Schneble, D. 2015. Nonadiabatic diffraction of matter waves. Physical Review A, Vol. 92, Issue. 2,

  • Mathematical Proceedings of the Cambridge Philosophical Society, Volume 29, Issue 2
  • May 1933, pp. 297-300

The reflection of electrons from standing light waves

  • P. L. Kapitza (a1) and P. A. M. Dirac (a2)
  • DOI:
  • Published online: 24 October 2008

It is well known that a beam of light falling on a reflecting mirror forms standing waves. This effect has been very beautifully made use of in Lippmann's colour photography process. The standing light waves, in this case, produce a periodic effect in the emulsion of the photographic plate which, when developed, scatters light and produces a similar colour effect. Instead of using a beam of light, it would seem possible to scatter electrons from the emulsion and obtain a reflection of electrons similar to that of a space grating. But it seemed to us that it would be of much greater interest to consider an experiment in which electrons are reflected from the standing waves of light. The direct scattering of free electronic waves by light has strictly never been observed, and it was thought possible that by this method, owing to the interference of the electrons and to the fact that the scattered electrons are focussed to one spot, the magnification of the phenomenon would be sufficient to make it observable. From the theory developed below, it will be seen that the experiment is just on the verge of possibility, and would be very difficult to carry out. The main interest of the experiment would come from the possibility of observing stimulated scattered radiation which up to the present has never been verified experimentally.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *