Contribution to the formal solution of diffraction problems on spheres and cylinders of timevarying radii
Abstract
Problems involving diffraction on spheres and cylinders with timevarying radii are solved by describing the fields with the aid of functions whose level surfaces coincide with the instantaneous position of the interface, and by seeking solutions in the form of orthogonal series in spherical or cylindrical angular functions. The coefficients of the orthogonal series are expressed with the aid of special operators (d'Alembert traveling waves on a radial coordinate; contour integrals in the shortwavelength case). The integrand functions are readily expressed as known contour integrals in the planewave case. Integrodifferential equations deriving from boundary conditions on a moving surface are required for fields established through diffraction of waves on impedance spheres or cylinders of timevarying radius.
 Publication:

Radiofizika
 Pub Date:
 1975
 Bibcode:
 1975RaF....18.1855K
 Keywords:

 Cylindrical Bodies;
 Spheres;
 Traveling Waves;
 Wave Diffraction;
 Differential Equations;
 Integral Equations;
 Operators (Mathematics);
 Orthogonality;
 Plane Waves;
 Series (Mathematics);
 Communications and Radar