Title :
Spherical wave operators and the translation formulas
Author :
Wittmann, Ronald C.
Author_Institution :
NBS, Boulder, CO, USA
fDate :
8/1/1988 12:00:00 AM
Abstract :
Translational formulas for both scalar and vector spherical wave solutions of the Helmholtz equation are developed in a straightforward manner using differential operator representations for the modal functions and well-known expressions for the scalar and dyadic free-space Green´s functions. The expansion coefficients are given in compact integral or differential operator forms useful for analytic investigation
Keywords :
Green´s function methods; electromagnetic waves; EM waves; Helmholtz equation; differential operator representations; dyadic free-space Green´s functions; expansion coefficients; integral operator form; modal functions; scalar free-space Green´s functions; scalar waves; spherical wave solutions; translation formulas; vector waves; Differential equations; Electromagnetic fields; Electromagnetic scattering; Integral equations; NIST; Probes; Receiving antennas; Testing; Vectors; Wave functions;
Journal_Title :
Antennas and Propagation, IEEE Transactions on