Abstract
In this paper the problem of sampling the field radiated by a planar source observed over a finite planar aperture located in the near-field is addressed. The problem is cast as the determination of the spatial measurement positions which allow us to discretize the radiation problem so that the singular values of the radiation operator are well-approximated. More in detail, thanks to a suitably warping transformation of the observation variables, the kernel function of the relevant operator is approximated by a band-limited function and hence the sampling theorem applied to achieved discretization. It results in the sampling points having to be non-linearity arranged across the measurement aperture and their number can be considerably lowered as compared to more standard sampling approach. It is shown that the proposed sampling scheme works well for measurement apertures that are not too large as compared to the source’s size. As a consequence, the method appears better suited for broad-side large antenna whose radiated field is mainly concentrated in front of the antenna. A numerical analysis is included to check the theoretical findings and to study the trade-off between the field accuracy representation (over the measurement aperture) and the truncation error in the estimated far-field radiation pattern.
Highlights
Antenna testing is a fundamental and necessary step in the manufacturing process of any transmission system
When the measurement aperture is much larger than SD, the representation error depends on the type of sources and is relevant if the source significantly projects on the singular functions of A that are not well-approximated by the proposed discretization strategy
The problem of sampling the field radiated by a planar source and observed over a finite planar aperture located in the near-field has been addressed
Summary
Antenna testing is a fundamental and necessary step in the manufacturing process of any transmission system. As compared to these contributions, the proposed sampling scheme does not require us to run numerical iterative procedures and address the sampling without the need to split, since the outset, the problem along the so-called meridian and azimuth curves Another crucial aspect in planar near-field techniques concerns the choice of the planar observation domain size, which, for obvious practical reasons, must be necessarily finite. This fact entails that, depending on the type of the antenna under test, the far-field evaluation can suffer from the so-called truncation error. The paper includes an appendix which helps to clarify the theoretical derivation
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