314 BELL SYSTEM TECHNICAL JOURNAL 



and R. M. Ryder for their encouragement, and to Miss M. C. Packer for 

 aid in the numerical computations. 



References 



1. E. D. McArthur and E. F. Peterson, "The Lighthouse Tube; A Pioneer Ultra-High- 



Frequency Development," Proc. Nat. Electronic Conference, Chicago, Oct. 1944, Vol. 

 I, pp. 38-47. 



2. J. H. Fremlin, R. N. Hall, and P. A. Shatford, "Triode Amplification Factors," 



Electr. Comm., Vol. 23 (1946), pp. 426-435. 



3. Hamilton, Knipp, and Kuper, "Klystrons and Microwave Triodes, Radiation Labora- 



tory Series, New York, 1948, p. 153. 



4. J. C. Maxwell, "A Treatise on Electricity and Magnetism," Vol. 1, pp. 310-316. 



5. Riemann- Weber, "Differentialgleichungen der Physik," Vol. 2, p. 311. 



6. L. Rosenhead and S. D, Daymond, "The Distribution of Potential in Some Thermionic 



Tubes," Proc. Roy. Soc, Vol. 161 (1937), pp. 382-405. 



7. M. J. O. Strutt, "Moderne Mehrgitter-Elektronenrohren," Berlin, 1940, S. 154. 



8. R. C. Knight, Proc. London Math. Soc. (2) Vol. 39 (1935\ pp. 272-281. 



9. R. C. J. Howland and B. \V. McMullen, "Potential Functions Related to Groups of 



Circular Cylinders," Proc. Cambr. Phil. Soc, Vol. 32 (1936), pp. 402-415. 



10. R. C. Knight and B. W. McMullen, "The Potential of a Screen of Circular Wires 



between two Conducting Planes," Phil. Mag. Ser. 7, Vol. 24, 1937, pp. 35-47. 



11. Barkas, "Conjugate Potential Functions and the Problem of the Finite Grid," Phys. 



Rev., Vol. 49 (1936^, pp. 627-630. 



12. J. H. Fremlin, "Calculation of Triode Constants," Phil. Mag. Ser. 7, Vol. 27 (1939), 



pp. 709-741; also Electr. Comm., Vol. 18 (1939), pp. 33-49. 



13. H. Heme, "Valve Amplification Factor," Wireless Engineer, Vol. 21 (1944), pp. 59- 



64. 



14. Whittaker and Watson, "Modern Analysis," Third Edition, Cambridge (1940), 



Chapter XXI, p. 462. 



15. R. W. King, "Thermionic Vacuum Tubes," Bdl System Technical Journal, Vol. H 



(1923), pp. 31-100. 



16. W. E. Benham, "A Contribution to Tube and Amplifier Theory," Proc. L R. E., Vol. 



26 (1938), pp. 1093-1170. 



17. W. R. Ferris, "Input Resistance of Vacuum Tubes at Ultra-High Frequencies," 



Proc. I. R. E., Vol. 24 (1936), pp. 82-105. 



18. D. O. North, "Analysis of the EtTects of Space Charge on Grid Impedance," Proc. 



I. R. K, Vol. 24 (1936), pp. 108-136. 



19. F. B. Llewellyn and L. C. Peterson, "Vacuum Tube Networks," Proc. L R. E., Vol. 32 



(1944), pp. 144-166. 



