The interaction between human body and antenna with spread of cellular is a serious problem. For clearly the problem, we set up the calculation model using lossy dielectric sphere which looks upon as human head and introduce the exact solution using special functions in 3-dimensions for the model. We show the radiation pattern and SAR (Specific Absorption Rate) when a half wavelength dipole antenna is put near the sphere that is layer structure consists of brain and skull. We can conform the calculation method to be effect by measurement.