SERIES FOR WAVE FUNCTION OF RADIATING DIPOLE 109 



s = height of representative point above ground. 



€ = dielectric constant of the ground in e.m.u. The 

 dielectric constant of air in e.m.u. is l/c^. If 

 the dielectric constant in e.s.u. is e', then 

 e = e'/c^. The dielectric constant of air in 

 e.s.u. is 1. 



Ui{r, z) = Wave function for s ^ for a vertical unit dipole 

 centered at the interface between air and 

 ground. The wave function for a unit dipole 

 wholly in air is obtained by multiplying the 

 wave function given here by 2/(1 + r^). By 

 a unit dipole is meant the system obtained by 

 letting the length / of a conductor approach 

 zero while the current in the conductor ap- 

 proaches infinity in such a way that // = unity, 

 where the current equals the real part of Ie~'"' 

 and does not vary with position along the 

 conductor. 



ni(r, 0) = Value of wave function at earth's surface. 



<T — conductivity of the ground in e.m.u. If the con- 

 ductivity is a' mhos per meter cube then 



0- = 10-1 v. 



CO = angular velocity, radians/sec. 



