Abstract
A one-dimensional lattice in tunnel-diode (TD) oscillators supports self-sustained solitary pulses resulting from the balance between gain and attenuation. By applying the reduction theory to the device’s model equation, it is found that two relatively distant pulses moving in the lattice are mutually affected by a repulsive interaction. This property can be efficiently utilized in equalizing pulse positions to achieve jitter elimination. In particular, when two pulses rotate in a small, closed lattice, they separate evenly at the asymptotic limit. As a result, the lattice loop can provide an efficient platform to obtain low-phase-noise multiphase oscillatory signals. In this work, the interaction between two self-sustained pulses in a TD-oscillator lattice is examined, and the properties of interpulse interaction are validated by conducting several measurements using a test breadboarded lattice.
Highlights
The dynamics of interacting self-sustained pulses developed in a one-dimensional lattice in tunneldiode (TD) oscillators are characterized
The pulse oscillatory tail becomes exponentially damped for finite parasitic resistances. e measured solitary pulse is allowed to develop for a restricted range of vB values around the TD’s peak voltage
Above the upper bound of this range, the lattice exhibits synchronous oscillation, and the solitary pulse is replaced by phase waves
Summary
The dynamics of interacting self-sustained pulses developed in a one-dimensional lattice in tunneldiode (TD) oscillators are characterized. For this purpose, an oscillator, which is driven by a single DC voltage vB that biases the TD, is employed. A reduced model representing the interaction of self-sustained pulses in a TD-oscillator lattice is initially developed, after describing the fundamental properties of the lattice. By the application of the DC bias voltage vB the TD’s negative differential resistance compensates for the oscillation damping caused by Rsh. We consider the dynamics of self-sustained solitary waves developed in an inductively coupled system of unit-cell oscillators. E resulting one-dimensional lattice supports a self-sustained pulse when the vB value is set in the restricted range around the TD’s peak voltage [1]. Using an auxiliary variable w, equations (1)–(3) are simplified as follows:
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