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On the optical theorem and non-plane-wave scattering in quantum mechanics

J. Math. Phys. 50, 112302 (2009); doi:10.1063/1.3256127

Published 6 November 2009

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G. Gouesbet
Laboratoire d'Electromagnétisme et Systèmes Particulaires (LESP), Unité Mixte de Recherche (UMR) 6614 du Centre National de la Recherche Scientifique (CNRS), Complexe de Recherche Interprofessionnel en Aérothermochimie (CORIA), Institut National des Sciences Appliquées de Rouen (INSA-Rouen), Université de Rouen, BP12, 76801 Saint-Etienne du Rouvray Cédex, France
In quantum mechanics, the optical theorem states that the extinction cross section is equal (within a prefactor 4pi/k, in which k is a quantum wave number) to the imaginary part of the forward scattering angular function. This theorem is valid for plane wave scattering. We discuss modifications required for non-plane-wave scattering and establish a generalized expression for the extinction cross section in quantum mechanics. Examples are provided for two kinds of quantum shaped beams, namely, Gaussian and Bessel beams. ©2009 American Institute of Physics
History: Received 2 July 2009; accepted 6 October 2009; published 6 November 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/112302/1
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ISSN:
0022-2488 (print)   1089-7658 (online)
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REFERENCES (15)

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  1. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1957).
  2. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  3. J. A. Lock, J. T. Hodges, and G. Gouesbet, J. Opt. Soc. Am. A 12, 2708 (1995).
  4. G. Gouesbet, C. Letellier, G. Gréhan, and J. T. Hodges, Opt. Commun. 125, 137 (1996).
  5. P. S. Carney, E. Wolf, and G. S. Agarwal, J. Opt. Soc. Am. A 14, 3366 (1997).
  6. P. S. Carney and E. Wolf, Opt. Commun. 155, 1 (1998).
  7. P. S. Carney, J. Mod. Opt. 46, 891 (1999).
  8. C. Cohen-Tannoudji, B. Diu, and F. Lalöe, Mécanique Quantique (Hermann, Paris, 1998).
  9. L. Landau and E. Lifchitz, Mécanique Quantique, Théorie Non Relativiste (Mir, Moscou, 1967).
  10. R. G. Newton, Scattering Theory of Waves and Particles (Dover, New York, 2002).
  11. G. Gouesbet and J. A. Lock, Opt. Commun. 273, 296 (2007).
  12. G. Gouesbet, Opt. Commun. 278, 215 (2007).
  13. G. Gouesbet, Opt. Commun. 266, 704 (2006).
  14. G. Gouesbet and G. Gréhan, Atomization Sprays 10, 277 (2000).
  15. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, 6th ed. (Elsevier, Amsterdam/Academic, New York, 2005).

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