. The Bell System technical journal . qual 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 TRANSATLANTIC RADIO TELEPHO
. The Bell System technical journal . qual 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 TRANSATLANTIC RADIO TELEPHONY 357 VIV m = V/V Nfi j = <- I e Velocity ratio. Reciprocal of the velocity ratio. The angle between the axis of the wave-antenna and thedirection of propagation of space waves measured ina clockwise direction. le = Y- Relative directional receptivity. numeric ■0 APPENDIX 2 Antenna Arrays The directional discrimination yielded by a single antenna can beincreased by utilizing several such antennas in an array. In Fig. 18,. Fig. 18 a general array of n antennas is indicated, of which only the first andthe ^th are portrayed. Each antenna in the array is completely specified by the coordinatesof the initial end of the antenna, the angle between the zero axis ofthe coordinate system and the axis of the antenna, and the currentdelivered at the receiving end of the antenna for a given electric fieldimpressed on the antenna at each angle of incidence with the , the first and the ^th antennas are specified as follows: Coordinates of initial end ol antenna. . Direction of antenna Current delivered by antenna for a con-stant electric field propagated in thedirection d First Antenna (0,0) 0 kth Antenna 358 BELL SYSTEM TECHNICAL JOURNAL For the purpose of this discussion, it is sufficiently accurate toassume that the propagation of space waves over the area covered bythe array only involves phase retardation, , t = j^. (201) The output of the ^th antenna is
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