Title :
Formation and destruction of waves with singularities on the spherical wavefront
Author_Institution :
Inst. of Phys., St. Petersburg Univ., Russia
Abstract :
Formation and destruction of waves produced by a source distributed on a specific circle are considered. The circle belongs to the spherical surface, expanding with the velocity of wave perturbation. The wavefunction expansion is constructed in terms of modes in the cylindrical coordinate system. Final results are compared with expressions obtained earlier for the moving circle of a constant radius
Keywords :
electromagnetic waves; initial value problems; light velocity; wave equations; constant radius; cylindrical coordinate system; distributed source; electromagnetic waves; moving circle; singularities; specific circle; spherical surface; spherical wavefront; velocity of light; wave destruction; wave formation; wave perturbation; wavefunction expansion; Diffraction; Electromagnetic scattering; Electromagnetic transients; Fourier transforms; Integral equations; Partial differential equations; Physics; Shape; Surface waves;
Conference_Titel :
Day on Diffraction, 1999. Proceedings. International Seminar
Conference_Location :
St. Petersburg
Print_ISBN :
5-7997-0156-9
DOI :
10.1109/DD.1999.816199