Dimensioning flat, rectangular equivalent radiators

We model a radiator/scatterer using an equivalent radiator. We determine shape and size of a radiating surface producing, on a region D, an electromagnetic field close to that generated by the primary radiator/scatterer. For a fixed equivalent radiator's shape, we deal with the dimensioning issue only. The method exploits the Singular Value Decomposition (SVDs) of the operators relating the ra-diator/scatterer to the field on D and the equivalent panel to the field on D. The size of the equivalent radiator is determined by minimizing the maximum error between the primary radi-ated/scattered field and that radiated using
$D^{\prime}$
. We show numerical test cases for a planar radiator with rectan-gular shape.