. The Bell System technical journal . t have appeared from time to time. Further work is in prog-ress. Papers by E. J. Sterba and also by E. E. Bruce and H. T. Friis ofthe Bell Telephone Laboratories are in preparation which will include 1 Phil. Trans, of Royal Soc, 92, 12; 1802. ^ R. M. Foster, Directive diagrams of antenna arrays, Bell Sys. Tech. Jour.,292, May, 1926. Austin Bailey, S. W. Dean, and \V. T. Wintringham, Receivingsystem for long-wave transatlantic radiotelephony, Proc. I. R. E., 16, 1694, December,1928. J. C. Schelleng, Some problems in short-wave radiotelephone transmission,Pr


. The Bell System technical journal . t have appeared from time to time. Further work is in prog-ress. Papers by E. J. Sterba and also by E. E. Bruce and H. T. Friis ofthe Bell Telephone Laboratories are in preparation which will include 1 Phil. Trans, of Royal Soc, 92, 12; 1802. ^ R. M. Foster, Directive diagrams of antenna arrays, Bell Sys. Tech. Jour.,292, May, 1926. Austin Bailey, S. W. Dean, and \V. T. Wintringham, Receivingsystem for long-wave transatlantic radiotelephony, Proc. I. R. E., 16, 1694, December,1928. J. C. Schelleng, Some problems in short-wave radiotelephone transmission,Proc. I. R. E., 18, 913; June, 1930. GAIN OF DIRECTIVE ANTENNAS 65 certain calculated data similar to those contained in the present paper,and also experimental results obtained from tests on actual antennas ofvarious sizes and proportions. In the early part of the following discussion each antenna is con-sidered as a spherical source of waves which radiates equal power inall directions. Furthermore, it assumes that the current in each. (a)


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