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electromagnetic scattering


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1: 10.73 Physical Applications
Bessel functions enter in the study of the scattering of light and other electromagnetic radiation, not only from cylindrical surfaces but also in the statistical analysis involved in scattering from rough surfaces. … …
§10.73(ii) Spherical Bessel Functions
Accordingly, the spherical Bessel functions appear in all problems in three dimensions with spherical symmetry involving the scattering of electromagnetic radiation. …
2: Bibliography B
  • L. P. Bayvel and A. R. Jones (1981) Electromagnetic Scattering and its Applications. Applied Science Publishers, London.
  • P. Beckmann and A. Spizzichino (1963) The Scattering of Electromagnetic Waves from Rough Surfaces. Pergamon Press, New York.
  • 3: Bibliography C
  • D. Colton and R. Kress (1998) Inverse Acoustic and Electromagnetic Scattering Theory. 2nd edition, Applied Mathematical Sciences, Vol. 93, Springer-Verlag, Berlin.
  • 4: Bibliography K
  • M. Kerker (1969) The Scattering of Light and Other Electromagnetic Radiation. Academic Press, New York.
  • 5: 28.33 Physical Applications
  • McLachlan (1947, Chapters XVI–XIX) for applications of the wave equation to vibrational systems, electrical and thermal diffusion, electromagnetic wave guides, elliptical cylinders in viscous fluids, and diffraction of sound and electromagnetic waves.

  • Meixner and Schäfke (1954, §§4.3, 4.4) for elliptic membranes and electromagnetic waves.

  • Alhargan and Judah (1992), Germey (1964), Ragheb et al. (1991), and Sips (1967) for electromagnetic waves.

  • Aly et al. (1975) for scattering theory.

  • 6: 9.16 Physical Applications
    Within classical physics, they appear prominently in physical optics, electromagnetism, radiative transfer, fluid mechanics, and nonlinear wave propagation. Examples dealing with the propagation of light and with radiation of electromagnetic waves are given in Landau and Lifshitz (1962). Extensive use is made of Airy functions in investigations in the theory of electromagnetic diffraction and radiowave propagation (Fock (1965)). … A study of the semiclassical description of quantum-mechanical scattering is given in Ford and Wheeler (1959a, b). In the case of the rainbow, the scattering amplitude is expressed in terms of Ai ( x ) , the analysis being similar to that given originally by Airy (1838) for the corresponding problem in optics. …
    7: Bibliography F
  • V. A. Fock (1965) Electromagnetic Diffraction and Propagation Problems. International Series of Monographs on Electromagnetic Waves, Vol. 1, Pergamon Press, Oxford.
  • K. W. Ford and J. A. Wheeler (1959a) Semiclassical description of scattering. Ann. Physics 7 (3), pp. 259–286.
  • K. W. Ford and J. A. Wheeler (1959b) Application of semiclassical scattering analysis. Ann. Physics 7 (3), pp. 287–322.
  • 8: Bibliography
  • M. J. Ablowitz and P. A. Clarkson (1991) Solitons, Nonlinear Evolution Equations and Inverse Scattering. London Mathematical Society Lecture Note Series, Vol. 149, Cambridge University Press, Cambridge.
  • M. J. Ablowitz and H. Segur (1981) Solitons and the Inverse Scattering Transform. SIAM Studies in Applied Mathematics, Vol. 4, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
  • C. L. Adler, J. A. Lock, B. R. Stone, and C. J. Garcia (1997) High-order interior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder. J. Opt. Soc. Amer. A 14 (6), pp. 1305–1315.
  • K. Alder, A. Bohr, T. Huus, B. Mottelson, and A. Winther (1956) Study of nuclear structure by electromagnetic excitation with accelerated ions. Rev. Mod. Phys. 28, pp. 432–542.
  • H. H. Aly, H. J. W. Müller-Kirsten, and N. Vahedi-Faridi (1975) Scattering by singular potentials with a perturbation – Theoretical introduction to Mathieu functions. J. Mathematical Phys. 16, pp. 961–970.