Scalar Debye Potentials for Electromagnetic Fields in Spherical Gravity and Spherical Media. I

摘要

Modified scalar Debye potentials for electromagnetic (EM) waves in spherical gravity and spherical media are found. These potentials decompose the EM waves into two completely independent electric and magnetic radial modes and achieve scalarization and boundary fitting. Their equations are reduced to one dimensional Helmholtz equations under a separability condition, and can have their gavity effect nullified by a particular medium. Also the reflection coefficent (R sub l) for a l-spherical wave satisfies a Ricatti equation, and the phase shifts (delta sub l) and scattering cross sections are related to (R sub l). For an incident plane EM wave, the non-forward differential scattering cross section is expressed in terms of the (R sub l) for the case where the medium and/or gravity tapers off slower than 1/(radius) and (R sub l), (delta sub l) themselves diverge. (Author)