An inherent limitation of the LuneburgKline representation for the current on a conducting body
Abstract
An attempt is made to determine fundamental limitations, e.g., limitations not imposed by an inability to perform integrals, of a LuneburgKline (LK) representation for the surface current induced on a conducting surface by a plane wave. By expanding the current, normalized by the incident field phase factor, in an LK series and substituting this result in the magneticfield integral equation, it is found that all the coefficients in the expansion are identically zero in the shadow region of the scatterer. This limitation is explained in terms of the inability of the LK series to adequately represent the creepingwave nature of the current in the transition/shadow region. These results raise the question of the physical source of previously derived higherorder LK terms.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 November 1990
 DOI:
 10.1109/8.102756
 Bibcode:
 1990ITAP...38.1889B
 Keywords:

 Electric Conductors;
 Electric Current;
 Electromagnetic Scattering;
 Plane Waves;
 Surface Roughness;
 Asymptotic Methods;
 Integral Equations;
 Magnetic Fields;
 Communications and Radar