Generating geometric body shapes with electromagnetic source scattering techniques
The authors consider the three-dimensional geometric body shape generation using characteristic values based on inverse scattering theory. Using the vector spherical harmonics expansion of the magnetic far field pattern, a one-to-one correspondence is built between the geometric body space and the multi-dimensional vector space. These coefficients serve as the shape generator. For a collection of geometric body shapes, the authors obtain the inputs (characteristic values of the body shapes) and the outputs (the coefficients of the spherical vector wave function expansion of the corresponding magnetic far field patterns). The multivariate Lagrange interpolation is used for new shapes, which are constructed using the multiple-frequency Fourier method. Numerical examples are presented.
scientific article; zbMATH DE number 7220351
scientific article