Applied Scientific Research, Section B

, Volume 11, Issue 1–2, pp 84–102 | Cite as

Orthogonality properties of modes in a compressible partially ionized plasma

  • S. N. Samaddar


Linearized hydrodynamic equations together with Maxwell’s equations are used to describe a compressible partially ionized plasma interacting with a weak electromagnetic field. Using this fluid description of a plasma, orthogonality properties of modes are investigated for a compressible, partially ionized plasma. This plasma is confined in a uniform cylindrical structure of arbitrary cross-section, in the presence or absence of a static magnetic field along the axial direction.

The modes in the plasma are found to be orthogonal provided they satisfy the following conditions:a) the electromagnetic field must satisfy the usual known impedance boundary conditions, andb) the pressure is proportional t o the normal component of the velocity of the fluid elements (i.e., plasma elements) at the boundary in a particular way which may be termed the “hydrodynamic impedance boundary condition”.


Static Magnetic Field Neutral Particle Orthogonality Condition Hydrodynamic Equation Reciprocity Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1).
    Oster, L., Rev. Modern Phys.32 (1960) 141.CrossRefADSGoogle Scholar
  2. 2).
    Watanabe, T., Can. J. Phys.,39 (1961) 1197.ADSGoogle Scholar
  3. 3).
    Walker, L. R., J. Appl. Phys.28 (1957) 377.CrossRefADSGoogle Scholar
  4. 4).
    Bresler, A. D., G. H. Joshi and N. Marcuvitz, J. Appl. Phys.29 (1958) 794.CrossRefADSMathSciNetMATHGoogle Scholar
  5. 5).
    Oster, L.,loc cit..CrossRefADSGoogle Scholar
  6. 6).
    Watanabe, T.,loc cit..ADSGoogle Scholar
  7. 7).
    Walker, L. R.,loc cit..CrossRefADSGoogle Scholar
  8. 8).
    Bresler, A. D.,et al., loc. cit..CrossRefADSMathSciNetMATHGoogle Scholar
  9. 9).
    Marcuvitz, N., General Electronic Waveguides, Proc. Symp. on Electronic Wave guides, Polytechnic Press of the Polytechnic Institute of Brooklyn, New York, April. 8 195Google Scholar

Copyright information

© Martinus Nijhoff 1964

Authors and Affiliations

  • S. N. Samaddar
    • 1
  1. 1.Advanced Development LaboratoryRaytheon CompanyWaylandUSA

Personalised recommendations