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On the radiation pattern of a paraboloid of revolution

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Summary

The radiation pattern of a paraboloid of revolution is determined by using the mathematical form of Huygens' principle where the field intensities in a given domain are expressed in their tangential components on the boundary. These tangential components are supposed to have the values which follow from the reflection of a plane wave at an infinite metal plate, coinciding with the tangent plane to the surface of the paraboloid. Expressions involving infinite series of Bessel functions are obtained which give the intensities of the distant field when an electric dipole is placed at the focus. Approximations are made for the main lobe in the planes perpendicular to and through the dipole. Finally Zuhrt's method leads to the same results as the approximations given in the present paper.

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Abbreviations

r :

distance of a pointP from a pointQ of the paraboloid

p :

electric dipole moment

f :

focal distance of the paraboloid

g :

radius vector of the aperture of the paraboloid

a :

k(1 - cos0)

β :

− 2k sin0

a :

[f(ρ −f)]1/2

h :

[f(g −f)]1/2

σ :

ρ/f

x :

−2iaf

References

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Authors and Affiliations

  1. Laboratorium voor Electrotechniek, Technische Hogeschool, Delft, Nederland

    J. P. Schouten & B. J. Beukelman

Authors
  1. J. P. Schouten
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  2. B. J. Beukelman
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Schouten, J.P., Beukelman, B.J. On the radiation pattern of a paraboloid of revolution. Appl. Sci. Res. 4, 137–150 (1955). https://doi.org/10.1007/BF02316477

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  • DOI: https://doi.org/10.1007/BF02316477

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