Comment on: “Dc SQUID: Noise and optimization” by Tesche and Clarke

Strongly coupled, low noise dc-SQUID amplifiers

“…3.5(f) and shows a good agreement with the simulation. The same holds for simulations on the SQUIDs with β L < 1 shown in references [57,58]. The energy resolution ε VV scales inversely proportional with the inductance ε VV = S Φ,VV / (2 L SQ ), see Eqn.…”

“…(1.13) shows a complex dynamical behavior and is therefore usually solved numerically. This was done first by Tesche and Clarke [57,58] in 1977, but also some other important literature on the dynamics of standard low-Tc dc-SQUID should be mentioned here [2,40,[59][60][61]]. Figure 1.4 shows a simulation of the mean characteristics of a SQUID.…”

“…Also in this thesis, see chapter 3, we will numerically characterize SQUIDs with the focus on their usage as an amplifier. Here, we will for simplicity only use the following pioneer approximation formulas from the work of Tesche and Clarke [57,58,63] which are given for the white noise region of an optimized SQUID β L = 1 in the overdamped β C 1 and the low temperature Γ 1 limit:…”

“…For the flux-to-voltage transfer function G V Φ of the optimized SQUID, Tesche and Clarke found the following approximate expression [57,58]:…”

A Numerical Treatment of the rf SQUID: I. General Properties and Noise Energy

“…In Fig. 11(b) we have plotted the fitting function 0.45[(1-α) 2 + 1] which approximately fits the data. We again emphasize, however, that, due to the error margins of the numerical data, such fit functions should not be taken too literally.…”