The Faraday and Allied Effects in Circular Waveguides

  • J. E. Adkin
  • R. S. Rivlin


The propagation of electromagnetic waves, along a circular cylindrical waveguide containing a holohedral isotropic material under the influence of applied static, electric and magnetic fields, is investigated. The constitutive equations employed are based upon those derived by Toupin and Rivlin [1] for such materials. The applied static fields are assumed to be uniform and directed along the axis of the waveguide. An exact solution of the problem is obtained and the speed of propagation and rate of rotation of the wave is investigated.


Constitutive Equation Ally Effect Secular Equation Circular Waveguide Transverse Magnetic Mode 
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  1. [1]
    R. A. Toupin and R. S. Rivlin, Arch. Rat. Mech. Anal. 7, 434 (1961).CrossRefGoogle Scholar
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    H. W. Katz, Solid State Magnetic and Dielectric Devices. John Wiley, New York (1959).Google Scholar
  3. [3]
    M. L. Kales, H. N. Chait and N. G. Sakiotis, J. Appl. Phys. 24, 816 (1953).CrossRefGoogle Scholar
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    H. Gamo, J. Phys. Soc. Japan 8, 176 (1953).CrossRefGoogle Scholar
  5. [5]
    J. E. Adkins and R. S. Rivlin, Phil. Trans. Roy. Soc. A. (In press).Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • J. E. Adkin
    • 1
  • R. S. Rivlin
    • 2
  1. 1.University of NottinghamEngland
  2. 2.Brown UniversityUSA

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