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Reflection of Electrons by Standing Light Waves: A Simple Theoretical Treatment
dc.contributor.authorBartell, Lawrence S.en_US
dc.date.accessioned2010-05-06T22:51:37Z
dc.date.available2010-05-06T22:51:37Z
dc.date.issued1967-03-15en_US
dc.identifier.citationBartell, L. S. (1967). "Reflection of Electrons by Standing Light Waves: A Simple Theoretical Treatment." Journal of Applied Physics 38(4): 1561-1566. <http://hdl.handle.net/2027.42/70881>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70881
dc.description.abstractThe reflection of electrons by standing light waves, i.e., the stimulated Compton scattering proposed by Kapitza and Dirac, has been treated by applying the Born approximation. The probability that an electron will be reflected is derived, for light waves that are not too intense, as a function of the electron beam orientation and of the coherence properties of the light waves. It is shown, among other things, that the original formula of Kapitza and Dirac is not directly applicable to representative studies using lasers. More general formulas are given along with a discussion intended to serve as a practical guide in the design of experiments.en_US
dc.format.extent3102 bytes
dc.format.extent509348 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleReflection of Electrons by Standing Light Waves: A Simple Theoretical Treatmenten_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Chemistry, University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70881/2/JAPIAU-38-4-1561-1.pdf
dc.identifier.doi10.1063/1.1709723en_US
dc.identifier.sourceJournal of Applied Physicsen_US
dc.identifier.citedreferenceA. H. Compton, Phys. Rev. 21, 207, 483, 715 (1923); 22, 409 (1923); Natl. Acad. Sci. Proc. 10, 271 (1924).en_US
dc.identifier.citedreferenceP. L. Kapitza and P. A. M. Dirac, Proc. Cambridge Phil. Soc. 29, 297 (1933).en_US
dc.identifier.citedreferenceSeveral communications have been published to date reporting tentative observations of the Kapitza‐Dirac effect. These include L. S. Bartell, H. B. Thompson, and R. R. Roskos, Phys. Rev. Letters 14, 851 (1965); and H. Schwarz, H. A. Tourtellote, and W. W. Gaertner, Phys. Letters 19, 202 (1965). There is now no doubt in this author’s mind that the low‐resolution observations in both preliminary reports were observations of laser‐induced noise. On the other hand, experiments in the author’s laboratory have improved by several orders of magnitude in laser power and time discrimination and by several‐fold in angular resolving power. Repeated observations of electron reflection roughly consistent with the theory described in the present paper have now been made. The separation of stimulated Compton signals from the accompanying noise in current experiments is not an easy matter, and various explanations have been proposed for the phenomena sometimes observed. A suggestion has recently been advanced to the effect that the electron‐reflection probability may be augmented by several orders of magnitude in comparison with Eq. (25) in the text when photons in the standing wave make several passes between the end mirrors before being lost from the laser cavity. This cannot be correct. The electron‐reflection probability depends only on the magnitude of the perturbing potential in Eq. (1). This is determined in a straightforward way by the vector potential of Eq. (2) and hence, by the light intensity, as shown above. The lower the losses from the cavity, the higher will be the intensity, to be sure, but this does not alter the Kapitza‐Dirac relation.en_US
dc.identifier.citedreferenceVarious other treatments to stress different aspects of stimulated Compton scattering have appeared. See H. Dreicer, Phys. Fluids 7, 735 (1964); J. H. Eberly, Phys. Rev. Letters 15, 91 (1965); I. R. Gatland, Phys. Rev. 143, 1156 (1966).en_US
dc.identifier.citedreferenceM. Born, Z. Physik 38, 803 (1926); N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions (Oxford University Press, London, 1949), 2nd ed.en_US
dc.identifier.citedreferenceW. Heitler, The Quantum of Radiation (Oxford University Press, London, 1947), 2nd ed.en_US
dc.owningcollnamePhysics, Department of


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