A general theory on the graphical representation of antenna-radiation fields

A general theory for graphical representation of antenna radiated fields is developed. The application of the method to the special case of a transverse electromagnetic-mode-excited biconical antenna is investigated in detail. Electric field lines in the r-ϑ plane of a spherical coordinate system are presented in a manner such that the same electric flux is always carried between two neighboring field lines. Thus, their mutual distance is a criterion for the strength of the local electric field. The differential equations which govern the displacement of a field point are derived and solved. The time-dependent evolution of a field-line pattern is examined in detail. The new theory for graphical field representation permits, in an elegant manner, the analysis of the transmission and receiving mechanism of arbitrary antenna configurations. Thus, it is suggested that an iterative graphical synthesis procedure could, in the future, be applied to the computer-aided design modeling of antenna shapes