Lawson–Woodward theorem

The Lawson–Woodward theorem is a physics theorem about particle acceleration with electromagnetic wave.[1] It was developed by scientists John D. Lawson and P. M. Woodward in the 1940s.[2][3][4] This theorem roughly states that an electromagnetic plane wave can not provide a net acceleration to an ultra-relativistic charged particle in vacuum. This is a theoretical limitation to particle acceleration, especially for laser-based electron accelerator.[5] Any laser-based particle accelerator should then break at least one of the hypotheses of the Lawson–Woodward theorem to be physically possible.[5]

References

  1. ^ Chao, Alex (November 2002). "Lecture Notes on Topics in Accelerator Physics" (PDF). Stanford University.
  2. ^ Woodward, P. M. (1947). "A method of calculating the field over a plane aperture required to produce a given polar diagram". Journal of the Institution of Electrical Engineers. 93: 1554–1558.
  3. ^ Woodward, P.M.; Lawson, J.D. (1948). "The theoretical precision with which an arbitrary radiation-pattern may be obtained from a source of finite size". Journal of the Institution of Electrical Engineers - Part III: Radio and Communication Engineering. 95 (37): 363–370. doi:10.1049/ji-3-2.1948.0094. ISSN 2054-0604.
  4. ^ Lawson, J D (1979). "Lasers and Accelerators". IEEE Transactions on Nuclear Science. 26 (3): 4217–4219. doi:10.1109/TNS.1979.4330749. ISSN 0018-9499.
  5. ^ a b Esarey, E.; Schroeder, C. B.; Leemans, W. P. (2009-08-27). "Physics of laser-driven plasma-based electron accelerators". Reviews of Modern Physics. 81 (3): 1229–1285. Bibcode:2009RvMP...81.1229E. doi:10.1103/RevModPhys.81.1229.


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