Self-oscillation is usually a problem associated with lumped constant systems. In this paper, self-oscillation in a distributed constant system is discussed. In general, self-oscillation in a distributed constant system is expressed by a nonlinear partial differential equation; it may also occur in a distributed constant system expressed by a linear partial differential equation (wave equation) with a nonlinear boundary condition.
Witt considered the self-oscillation occurring in a string of a violin (the self-oscillation of the latter type), and developped an elegant method of analysis. Following this method, the self-oscillation in a transmission line with a negative resistance element is discussed.
Self-oscillation is observed in a transmission line with an Esaki diode on one end. The voltage waveform across and the current waveform through the Esaki diode are, in general, pulse-form. This paper gives discussion on theoretical analysis of the circuit and presents experimental results which are in good agreement with the analysis.
The circuit can be used as a pulse or staircase wave generator, pulse frequency modulator with discontinuous levels, analog-digital converter, etc. It is simple in construction, requires little source power, and has a wide frequency range (e.g., μsec._??_mμ sec.).
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