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Principal Components of RSFQ Circuits

Fig. gif illustrates the basic idea of RSFQ - to pass the information about the flux state from one loop to another using the dynamics of the flux transients. A tex2html_wrap_inline1573 jump in Josephson phase tex2html_wrap_inline1575 across the junction (see Eq. (gif)) corresponds to one flux quantum passing through the junction.

  figure112
Figure:   Single flux quantum entering a J1-L1-J2 stage of a Josephson transmission line (JTL) through junction J1.

Fig. gif has many essential elements of a typical RSFQ circuit: overdamped Josephson junctions J1 and J2 break the superconducting loop formed by the inductance L1 and the ground plane (horizontal bars indicate connections to the ground). Both junctions are biased by current sources I1 and I2 (a shorthand notation for current sources is used which only shows the direction and entry point of the applied bias current) so that the current flowing through each junction is close but smaller than the critical value tex2html_wrap_inline1489 . A flux quantum arriving from the input ``in'' of the circuit drives the current through the junction J1 above the critical value and, for a short time (of the order of tex2html_wrap_inline1579 ), a voltage pulse is formed across the junction J1. The height of the voltage peak may be estimated from Faraday's law ( tex2html_wrap_inline1581 ) as tex2html_wrap_inline1583 . After that the junction J1 returns to the superconductive state and the flux quantum is now trapped inside the ``J1 - L1 - J2 - ground plane'' loop. What happens next is determined by the parameters of the circuit. If the total inductance of the loop L (determined mostly by L1) is large enough so that the induced change in current tex2html_wrap_inline1587 through the junction J2 ( tex2html_wrap_inline1589 ) is not sufficient to exceed its critical value, the state with a trapped flux is stable and the loop stores the information. Inductance L1 in this case is called ``quantizing''. If the inductance of the loop is smaller, so that current through the junction J2 exceeds its critical value, the junction flips, making a tex2html_wrap_inline1573 turn in phase tex2html_wrap_inline1575 and the flux quantum leaves the loop through J2 in the same manner as it entered it through J1.

Another basic idea of RSFQ is illustrated in Fig. gif showing a two-junction comparator controlled by a quantizing inductance L1 (note a bar over the inductor symbol).

  figure119
Figure:  Two-junction comparator controlled by a quantizing inductance

The parameters of the circuit are chosen so that when an SFQ voltage pulse arrives to the input ``read'' of the circuit, the flux stored in the loop to the left of the junction J1 is released and appears on the output ``out''. When there is no stored flux, the current through J1 is smaller and further from its critical value so with the arrival of the ``read'' pulse junction J2 flips and there is no output. Removal of the controlling inductance creates a simple diode (or ``buffer stage'') when nothing from input ``read'' goes into output ``out'' (see also Fig. gif and Fig. gif in the next section). Two-junction comparators (both in the form of a simple ``buffer stage'' and controlled by a quantizing inductance) are at the basis of every RSFQ design and have been the subject of extensive theoretical and experimental research [8, 9].


next up previous contents
Next: Main building blocks of Up: RSFQ Digital Technology Previous: Basic Considerations

Alexander Rylyakov
Fri May 23 18:57:25 EDT 1997