The field of a line source can be found by integrating the fields of elements of the Huygens Kirchhoff formula or formula containing the integral distribution of the current source.

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Fresnel approximation is used when the distance to the point of observation is small compared to the wavelength or the size of the aperture. This approximation, which will be discussed in detail for a circular aperture, contains a very cumbersome expressions. The field is in the far field is simply an integration along a linear aperture, taking into account the spatial phase shift, which corresponds to the calculation of the Fourier transform of the field distribution over the aperture.

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Based on these data we can draw some conclusions about the behavior of the field at the distance. At large distances from the aperture can be ignored by the difference in amplitudes of the fields produced by the individual elements of the aperture. On the other hand, the phase field varies linearly. In the field, which lies at a distance of less than 2D2 / X, called the domain of the emitted near-field pattern depends on the distance.

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Here, because of the quadratic phase change there is no strong interference. This leads to a decrease in the depth of the dips and the [growth of side lobes in the radiation pattern. For shorter distances, as follows from Fig. 14 and 15, the main lobe expands and may merge with the neighboring side lobes.

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Finally, the main lobe splits and becomes two-humped curve, similar to the resonance curve of two strongly coupled circuits. At even closer distances to the main lobe moves slowly decaying curve with small oscillations on the site of E-lateral lobes.

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Split the main lobe is preserved. When approaching the aperture field amplitude of each element of the aperture is no longer a constant, which leads to an additional smoothing of the lows.

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At a distance of several diameters of the apertures must use the general expression for the field (61). In the immediate vicinity of the aperture can be identified third area, called the reactive near field region. Here the main role of the field in which the stored energy.