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The electromagnetic field radiating from a wire can be
calculated by solving Maxwell’s equations for a short current element, and
then for the whole wire by putting the current elements end-to-end.
This involves complex vector algebra.
It can be shown that the resulting fields can be grouped into three
categories:
From the equations, it can be seen that these fields have
the same magnitude when the distance from the current element is λ/2π.
This distance is termed the boundary between what is called the near- and
far-fields. When these, rather theoretical, current elements are placed
end-to-end to simulate the real-world conditions of a wire aerial, the charges
on the neighbouring current elements will cancel out the electrostatic term
leaving only the induction and radiation fields. It is generally well known that the far-field is
predominantly a radiation field; this is certainly true when the distance is
greater then 10 λ/2π. At
that distance the contribution from the other two field types is negligible and
the ratio between E and H fields verges increasingly to what is known and the
free-space impedance Zo, with its value of 377ohms.
This is very convenient as it allows one to readily find either the E or
H-field magnitudes. The conditions in the near-field are less understood, and the type of induction field depends on the type of aerial. Most people know that aerials like verticals and dipoles fundamentally generate E fields, and that loops by contrast fundamentally develop H fields. When the distance from the current element is very much less than λ/2π the magnitude of the induction field is very large in relation to the radiating field and the ratio of the E and H fields is far from the free-space impedance. For the condition where the induction field is an E-field the H-field component of the wave impedance comes from the very much smaller radiating field. In this situation the wave impedance is very much greater than the free-space impedance. When the induction field is magnetic then the opposite is true, the wave impedance is very much lower than the free-space impedance. Because the wave impedance in the near-field is not known, or perhaps more accurately it is not easily calculated, it follows that one cannot then readily convert ERP, measured in the far-field, to the equivalent E or H field in the near-field. The main way of establishing field-strengths in the near-field is to use computer modelling, where the individual contributions from infinitesimally small current elements are summed [or potentially by measurement with a calibrated antenna]. The result, of course is only as good as one is able to model the wire aerial and, importantly the environment in the near-field area around the aerial. |
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