Time-Domain Analysis of Sommerfeld VED (Vertical Magnetic Dipole) Problem with Exact Image Theory (October 1988)

摘要

Time domain solution of the Sommerfeld half-space problem is constructed through the exact image theory. The radiation from a vertical electric dipole above the planar interface of two lossless and dispersionless dielectric media is analyzed. An infinite but simple integral representation is derived for the reflected field when the refraction index of the lower medium is greater. In the opposite case of refraction indexes the reflected field has a more complicated appearance, which, however, can be interpreted as originating from a time-dependent image source located in homogenous space.