Abstract
An improvement to the line-of-sight (LoS) approximation of the equivalence principle used in far-field computations is presented. In the original LoS approximation of the equivalence principle, the integral equation uses only the surface currents on the LoS surface, as well as the edge currents on the contour of the LoS surface, which is the replacement of the surface integrals over the shadow part of the surface. Here, we show that the integration over one type of surface current on the LoS surface and edge currents is sufficient, which reduces the resources required for the LoS radiation pattern computations by half. The proposed theory is a rigorous analysis of Love’s Equivalence theory with an introduction of the point-of-symmetry concept. The proposed method makes use of the vector-potential field representation to derive the improved LoS equivalence principle. The proposed approach is validated with the calculation of the far-field radiation pattern of a patch antenna using the Finite Difference Time Domain (FDTD) simulations.
Highlights
The surface equivalence principle has been widely used in the analysis of the radiation patterns of antennas
The total computational time for the new LoS approach is the antenna is a 50-Ω square coaxial transmission line of length 55 mm followed by a microstrip line of approximately one-sixth of that required by the standard equivalence for the computation of length 32 mm
We proposed an improvement to the LoS approach to the computation of antenna far-field radiation patterns using the equivalence principle
Summary
The surface equivalence principle has been widely used in the analysis of the radiation patterns of antennas. When radiation/scattering problems are solved with numerical techniques, the equivalence principle is practically the only means of far-field pattern computation. The LoS approximation, which reduces the computational time significantly in comparison with the standard equivalence approach, was introduced in [8]. It considers the source contributions from surface currents that are on the LoS surface only; as well as the currents along the LoS contour (see Figure 1). We justify the use of only one type of surface current on the LoS surface This improves the efficiency of the radiation pattern computations by a factor of two when used with numerical.
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