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Study of Ultra-High-Frequency Tubes by Dimensional Analysis

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2 Author(s)
Lehmann, G.J. ; Formerly, Federal Telephone and Radio Laboratories, New York, N.Y.; now, Le Matériel Téléphonique, Lyon, France ; Vallarino, A.R.

The complete theory of the operation of ultra-high-frequency tubes being extremely difficult, it is shown that dimensional analysis in conjunction with experimental work is a powerful tool in this field. If certain general assumptions are fulfilled, the properties of ultra-high-frequency oscillators can be expressed in terms of a dimensionless parameter ϕ = (f×d)/√V. The dependence of efficiency on frequency in an ultra-high-frequency oscillator is considered in the first part of this paper. In the second part, combining the previous results with the Child-Langmuir equation, the relationship between the voltage, the dimensions of the tube, and the frequency are discussed when the efficiency is maintained constant.

Published in:

Proceedings of the IRE  (Volume:33 ,  Issue: 10 )