All improved method of analysis is developed to determine the chsrateristics of a dielectric antenna of arbitrary shape. The analysis is based on scattering principles. The concept of polariaztion current and charge densities is incorporated into the Stratton-Chu formula and un integral equation is established for the electric field intensities in the dielectric. A new technique involving an equivalent spherical cell is developed to solve the integral equatioil numerically. The radiation characterstics of an omnidirectional dielectric antellna are determined based on the near field obtained by this volume cell technique.