Monochromaticity and Noise in a Regenerative Electrical Oscillator

The regenerative oscillator is postulated to be equivalent to an RLC circuit in which a negative resistance-RB, placed parallel with R, has a value which is a slowly varying function of the mean-square voltage across it. Expressions are derived for the departure from monochromaticity of the regenerative oscillator so represented, as well as for the intensity and bandwidth of the thermal noise generated in the oscillator by the resistance R.