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This article relates to the generation of a linear current ramp using Josephson technology. The resulting circuit is useful as a precision variable timer.
English (United States)
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Highly Linear Ramp Generator Using Josephson Technology
This article relates to the generation of a linear current ramp using
Josephson technology. The resulting circuit is useful as a precision variable
The current waveforms produced by circuits of the type shown in Fig. 1 are
generally not linear ramps. This is because the transmission line is not an ideal
inductor, but rather has a propagation delay t(d). If one wishes to obtain current
ramps, such current ramps are only linear over time periods less than t(d). For a
stripline with impedance Z(o),
Using the circuit of Fig. 1, the nonlinearities which exist can be eliminated by
At this point, it should be noted that the current has a constant derivative for
t(s)<t<t(r), where t(r) =
The signal I(L2) is perhaps more desirable, since it is identically zero for
In general, 2t(d)>t(s). The desired equality is easily achieved in the circuit of
Fig. 1 by increasing C(j) by adding a parallel capacitance to junction J(1).
This can be compactly achieved using the Nb(2)0(5) ground plane insulation
as a dielectric ( (epsilon) =26). To insure good linearity one must require that
the parallel combination of R(s), R(j), and Z(o) be much greater V(g)/I(s).
For sufficiently small t(r) (less than 100 psec), the intrinsic junction
capacitance may be sufficient without augmenting it with a capacitor.
Note that component variations will prevent the condition 2...