Abstract
ABSTRACT Five radiation and scattering problems in electromagnetics and acoustics are successively investigated to illustrate the interest and drawbacks of iterative solutions with respect to conventional direct ones, if they exist. All these solutions are based upon integral formulations of the fields. The iterative ones are in general developed from two conjugate-gradient algorithms whose main properties are recalled herein from the viewpoint of linear operator equations in Hilbert space. The first two problems concern radiation by rotational thick antennas and by large wire-structures. Methods of moments are applied as usual and the linear systems deduced from are directly or iteratively solved; conditioning is confirmed to be the main reason of either choice. The next two concern scattering by inhomogeneous cylindrical targets: fluid ones illuminated by a compressional plane-wave in acoustics, and lossy dielectric ones illuminated by a wave whose field is parallel with the target cross-section In elec...
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