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Classical theory of wave beams

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Abstract

The Helmholtz and Maxwell equations describing fields of the beam type are solved. The energy streamlines in a vector beam coincide with the generatrices of an unparted hyper-boloid of revolution and are twisted. The angular momentum of a monochromatic electromagnetic field in coordinate space naturally splits into “orbital” and “spin” parts. The orbital angular momentum is perpendicular to the Poynting vector, and the spin part is parallel to it. Each beam m is characterized by a definite projection of the angular momentum on the z axis and is localized near a corresponding hyperboloid ηm.

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Literature cited

  1. A. Yu. Ardashev, V. A. Kashin, and G. V. Skrotskii, Zh. Éksp. Teor. Fiz.,55, 869 (1968).

    Google Scholar 

  2. A. Yu. Ardashev, V. A. Kashin, and G. V. Skrotskii, Izv. VUZ, Fiz., No. 3, 133 (1968).

    Google Scholar 

  3. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York (1953).

    Google Scholar 

  4. P. K. Rashevskii, Course in Differential Geometry [in Russian], GITTL, Moscow (1956).

    Google Scholar 

  5. H. Bateman, Partial Differential Equations of Mathematical Physics, Dover Publications, New York (1944), p. 105.

    Google Scholar 

  6. D. D. Ivanenko and A. A. Sokolov, Classical Theory of Fields [in Russian], GITTL, Moscow (1947).

    Google Scholar 

  7. N. E. Korneev and Yu. I. Pavlov, Zh. Éksp. Teor. Fiz. Pis. Red.,8, 309 (1968); V. M. Fain and Ya. I. Khanin, Quantum Radiophysics [in Russian], Sovetskoe Radio, Moscow (1965), p. 460.

    Google Scholar 

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Authors and Affiliations

  1. Moscow Physicotechnical Institute, USSR

    A. A. Izmest'ev

Authors
  1. A. A. Izmest'ev
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, No. 1, pp. 101–105, January, 1971.

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Izmest'ev, A.A. Classical theory of wave beams. Soviet Physics Journal 14, 77–80 (1971). https://doi.org/10.1007/BF00819865

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  • DOI: https://doi.org/10.1007/BF00819865

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