Scattering of lowfrequency Ewaves by dielectric cylinders
Abstract
An infinite cylinder of dielectric constant epsilon sub r equals N squared (N equals index of refraction) immersed in an incident Ewave is considered. The dimensions of the cross section S are assumed small with respect to all the wavelengths of interest. For such a case it is known that the cylinder scatters, in first approximation, as an omnidirectional source, and that the scattering cross section is sigma sub sc equals (N squared minus 1) squared times k cubed times S squared/4 where k is the wave number in vacuo. When the frequency increases, a ripple appears in the scattering pattern. This paper evaluates this ripple and adds a secondorder correction term to the above expression for the cross section. This correction term permits a smoother transition from the Rayleigh region to the 'resonance' region.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 March 1976
 DOI:
 10.1109/TAP.1976.1141329
 Bibcode:
 1976ITAP...24..255V
 Keywords:

 Cylindrical Bodies;
 Dielectrics;
 Electric Fields;
 Radio Scattering;
 Wave Scattering;
 Boundary Value Problems;
 Far Fields;
 Low Frequencies;
 Rayleigh Scattering;
 Scatter Propagation;
 Scattering Cross Sections;
 Communications and Radar