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1: 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.

  • 2: 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). …
    3: 10.73 Physical Applications
    This equation governs problems in acoustic and electromagnetic wave propagation. …It is fundamental in the study of electromagnetic wave transmission. …
    §10.73(ii) Spherical Bessel Functions
    4: Bibliography J
  • D. S. Jones (1986) Acoustic and Electromagnetic Waves. Oxford Science Publications, The Clarendon Press Oxford University Press, New York.
  • 5: Bibliography F
  • V. A. Fock (1965) Electromagnetic Diffraction and Propagation Problems. International Series of Monographs on Electromagnetic Waves, Vol. 1, Pergamon Press, Oxford.
  • 6: Bibliography B
  • P. Beckmann and A. Spizzichino (1963) The Scattering of Electromagnetic Waves from Rough Surfaces. Pergamon Press, New York.
  • 7: 6.17 Physical Applications
    Lebedev (1965) gives an application to electromagnetic theory (radiation of a linear half-wave oscillator), in which sine and cosine integrals are used.
    8: Bibliography T
  • S. A. Teukolsky (1972) Rotating black holes: Separable wave equations for gravitational and electromagnetic perturbations. Phys. Rev. Lett. 29 (16), pp. 1114–1118.
  • 9: Bibliography K
  • G. C. Kokkorakis and J. A. Roumeliotis (1998) Electromagnetic eigenfrequencies in a spheroidal cavity (calculation by spheroidal eigenvectors). J. Electromagn. Waves Appl. 12 (12), pp. 1601–1624.
  • 10: Bibliography S
  • M. J. Seaton and G. Peach (1962) The determination of phases of wave functions. Proc. Phys. Soc. 79 (6), pp. 1296–1297.
  • M. J. Seaton (2002b) FGH, a code for the calculation of Coulomb radial wave functions from series expansions. Comput. Phys. Comm. 146 (2), pp. 250–253.
  • D. C. Shaw (1985) Perturbational results for diffraction of water-waves by nearly-vertical barriers. IMA J. Appl. Math. 34 (1), pp. 99–117.
  • G. S. Smith (1997) An Introduction to Classical Electromagnetic Radiation. Cambridge University Press, Cambridge-New York.
  • A. Sommerfeld (1928) Atombau und Spektrallinien. Vieweg, Braunschweig.