216 PIERCE. 



The quantities A, B, and r are defines by equations (20) and (51). 

 We shall next discuss the total power radiated from the antenna. 



14. Concerning Power Radiated from the Total Antenna. — 



It is to be noticed that the electric and magnetic intensities due 

 to the flat-top of the antenna and those intensities due to the vertical 

 portions of the antenna are directed along the meridional and lati- 

 tudinal lines of two systems of polar coordinates with their poles one 





Figure 9. 



quadrant apart. This does not make the respective intensities 

 perpendicular to each other, and it becomes necessary to resolve one 

 set of these intensities along and perpendicular to the other set of 

 intensities. At a given point on the sphere about the origin of co- 

 ordinates, the quantities 4>, 6, 2, and 4^ are oriented in a manner 

 represented in Figure 9. 

 If we let 



a = angle between ^ and 6 



then also 



a = angle between and 3. 



It is also apparent that 



T 



Angle between 2 and 6 = a — - 



Angle between \p and = -^ a 



Let us now resolve Y,^ and H^ into components along 6 and per- 

 pendicular thereto (that is, along 0) obtaining for the ^-components 



