Scenario Modelling in Echo Generators Design

We deal with the modelling a radiator/scatterer using an equivalent radiator. It requires determining the shape and the dimensions of a radiating surface generating, in a certain region of space ${\mathcal{D}}$, an electromagnetic field close to that produced by the radiator/scatterer of interest.We propose, for a fixed equivalent radiator’s shape, an approach for the solution of the dimensioning issue. The approach uses the Singular Value Decomposition (SVDs) of the operators linking the radiator/scatterer to the field on ${\mathcal{D}}$ and the equivalent radiating panel to the field on ${\mathcal{D}}$, again. The approach determines the dimensions of the equivalent radiator minimizing the error arising by approximating the primary radiated/scattered field with that radiated using ${{\mathcal{D}}^\prime }$. The error is expressed as a Hermitian, positive semi-definite quadratic form so that the problem amounts at the maximization of its minimum eigenvalue.Numerical results are presented for a planar radiator of rectangular shape.