A plane wave expansion theorem for cylindrically radiated fields
Abstract
An asymptotic expansion for twodimensional outwardly radiating fields is developed from an integral represention of these fields by means of a saddle point integration. The expansion is given in terms of inverse powers of the distance from a point in a fixed region to a point in a circular neighborhood at a large distance from that region. The coefficients are expressed in terms of plane waves and linear combinations of derivatives of plane waves with respect to angle of incidence. The theorem may be employed in scattering problems in reducing scattering of arbitrary twodimensional fields by arbitrary cylinders to scattering of plane waves by the arbitrary cylinders.
 Publication:

Journal of Engineering Mathematics
 Pub Date:
 October 1974
 DOI:
 10.1007/BF02353494
 Bibcode:
 1974JEnMa...8..291K
 Keywords:

 Asymptotic Series;
 Cylindrical Waves;
 Electromagnetic Scattering;
 Plane Waves;
 Wave Scattering;
 Saddle Points;
 Sommerfeld Waves;
 Steepest Descent Method;
 Wave Functions;
 Physics (General)