356 



BELL SYSTEM TECHNICAL JOURNAL 



The total current produced at the receiving end 5 by the impressed 

 field is 



le = If'o + Ie'b (125) 



and by application of (124) the constituents of the total current are 



S\'F' 1 — f-t«SX'+^27rS(OT- cos e)) 



If'e = -WW cos e ^, , , .^ ^, — ^ e-^2,rs coss^ (126) 



2K aS\' + j2TvS{m - cosd) 



2K~ Sy €^*tan t' 



Q\' pf h 1 



In (125), (126), and (127), the symbols have the following meanings 



Symbol Definition Unit 



Id The total current produced at the receiving end of the amperes 



antenna 5 by an impressed field propagated at an 



angle 9 from the axis of the antenna. 



Ifg The portion of le produced by the horizontal component amperes 



of the impressed field. 



Ie'8 The portion of le produced by the vertical component amperes 



of the impressed field. 



F' The horizontal component of the impressed field. volts per 



(Positive direction in the direction of propagation kilometer 



along the ground.) 



E' The vertical component of the impressed field. (Posi- volts per 



tive direction downward.) kilometer 



S Phase angle between the horizontal and vertical com- radians 



ponents of the impressed electric field. 



T "Quasi-tilt angle" of the impressed electric field. radians 



K The characteristic impedance of the wave-antenna. ohms 



y The propagation constant of the wave-antenna. 



a The real part of the propagation constant of the wave- napiers per 



antenna or the attenuation constant. kilometer 



/8 The imaginary part of the propagation constant of the radians per 



wave-antenna or the phase constant. kilometer 

 7' The propagation constant of the space waves. 



a' The real part of the propagation constant of the space napiers per 



waves (assumed equal to zero). kilometer 



j8' The imaginary part of the propagation constant of the radians per 



space waves. kilometer 



s The length of the wave-antenna. kilometers 



h The height of the wave-antenna above ground. kilometers 



S = s/X' The length of the wave-antenna. space wave- 



lengths 



X' = Iw/fi' The wave-length of the space waves. kilometers 



V = 27r///S Apparent velocity of propagation of waves along the kilometers 



wave-antenna. per second 



V The velocity of propagation of the space waves kilometers 



(= 3 X 10* km per second). per second 



