Author:

Keywords:

Science & Technology, Technology, Engineering, Electrical & Electronic, Telecommunications, Engineering, dyadic Green's function, gauge transformation, mixed potential, stratified medium, INTEGRAL-EQUATION, GREENS-FUNCTIONS, ELECTROMAGNETIC SCATTERING, MICROSTRIP STRUCTURES, ARBITRARY SHAPE, ELECTRIC-FIELD, SURFACES, ANTENNAS, 0906 Electrical and Electronic Engineering, 1005 Communications Technologies, Networking & Telecommunications, 4006 Communications engineering, 4008 Electrical engineering, 4009 Electronics, sensors and digital hardware

Abstract:

The full spectral electric dyadic Green's function for three dimensional current distributions in planar stratified media can be obtained straight from Maxwell's equations. By following a physical reasoning analogous with the free space case but using general derivative relations for multilayered Green's functions, we derive a "basic" mixed potential form with a simple vector potential kernel but multiple scalar potential kernels, and also obtain the well established single scalar potential formulations with a dyadic vector potential kernel. Mixed potential forms are thus arrived at without the a priori introduction of scalar and vector potential, or choice of gauge condition. The nonuniqueness of the scalar potential kernel and the dyadic nature of the scalar and/or vector potentials are believed to be clarified by the proposed approach. A discussion of the different formulations focuses on physical meaning and numerical consequences for the solution of integral equations.