ちえん線路をもつエサキダイオード対形発振器の研究

Abstract

It has been well known in the references J. Nagumo and M. Shimura [1], and Morisue, Goto [2], that the oscillator of two lossless transmission lines, which are muttually connected with a one-port and terminated by a pair of Tunnel diodes, voltagecontrolled and negative incremental conductance diode, produced micro wave pulse and oscillation of various wave forms. In this paper, It willbe described that the two such oscillators, muttually connected with any linear one-port, have various interesting properties such that : i.e., 1) in the case of the two same oscillators, two almost-periodic oscillations having inverse phase each other, independent of the kinds and the values of connected one ports, occur, and 2) particullary in the case of resistive one port connected, the frequencies of oscillators are constant, independent of the value of resistor. And such the oscillator, therefore, may be useful for the extremely-stabilized, both sinsoidal and pulse, oscillator, we shall be ordered the described parts of articel in the following. First, we construct a "normal form" of general networks consisting of non-linear lumped elements (resistive, capacitive, and inductive) and delayed-lines; and the algorithms of the method are given. Next, it will be constructed normal-form of general difference-differential equations, of the system. And thirdly, the above equations are transformed into a algebraic equations, with the approximated-method of equavalent-linearization and the describing function one. And then, amplitude and frequency in the case of almost-periodic oscillation are obtained, using the algebraic equations. These approximated values are fairly well equaled with the experimental data, but in the case of sine-wave form of oscillation, these two values are very different from each other. Finally, from the comparison with those three results, that is the values of approximation method, experimental data, and the numerical wave form by the the digital computor, the characters and the properties of the oscillator will be clarifed.