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BELL SYSTEM TECHNICAL JOURNAL 



integral by H. von Hoerschelmann . The wave-function for the current 

 in the wire is obtained by integrating the wave-functions of the current- 

 element dipoles along the wire from minus infinity to plus infinity. It is 



n 



»oo >' / -ikRi -iK 



—iKR2 

 2 



+ fy^e-"'vdv\dx + bXQ 



X 2e-" f he-"^ ( 



J—oo OX Ja 



(1 — r )Jq{vp)v -y,i 



(/ H- m)(l-^T^m) 



dv • dx. 



(1) 



Fig. 1 



The time factor is e*"^ a, h and c are unit vectors pointing in the x^ y 

 and z directions. 



Ri = {x^ + / + (/^ - zf) 

 R2 = {x^ + / + {h + zf) 



k = 27r/X 



1/2 



2x1/2 



1/2 



kz = e/ico^ — iiTaiJLO) in electromagnetic units 

 By supposing e to be measured in electrostatic units .we can write 



^2 = k'^{e — i2c\(j)n. 

 » H. Von Hoerschelmann, Jahrh. der draht. Teleg. 5, pp. 14-188, 1912. 



