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Influence of the Superconducting Ground Plane on the Performance of RSFQ Cells

Ruben van Staden, Kyle Jackman, Coenrad Johann Fourie, Pascal Febvre

Published Sep 4, 2016• 0 citations
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Influence of the Superconducting Ground Plane on the Performance of RSFQ Cells

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Single-flux-quantum (SFQ) digital circuits are mostly based on cells that rely on reliable foundry processes that make use of a superconducting ground plane as a reference for the active elements and the microstrip line interconnects. The quantum of magnetic flux h/2e, associated with the binary information, corresponds to a magnetic field energy density that needs to be localized in space to limit interactions between adjacent cells. In other words, mutual inductances can harm the proper behaviour of circuits unless they are taken carefully into account during the design phase. We studied extensively the Josephson transmission line cell with different geometrical configurations of the ground plane and bias pads. We found with the use of InductEx that the return current sometimes follows paths that are far from what intuition tells, which can lead to nonoptimized designs. In this paper, we emphasize the limitations due to the presence of external or internal magnetic fields. Then, we compare obtained performances with the ones with optimized geometries for which the presence of the magnetic field is taken into account from the design phase.

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Single-flux-quantum (SFQ) digital circuits are mostly based on cells that rely on reliable foundry processes that make use of a superconducting ground plane as a reference for the active elements and the microstrip line interconnects. The quantum of magnetic flux h/2e, associated with the binary information, corresponds to a magnetic field energy density that needs to be localized in space to limit interactions between adjacent cells. In other words, mutual inductances can harm the proper behaviour of circuits unless they are taken carefully into account during the design phase. We studied extensively the Josephson transmission line cell with different geometrical configurations of the ground plane and bias pads. We found with the use of InductEx that the return current sometimes follows paths that are far from what intuition tells, which can lead to nonoptimized designs. In this paper, we emphasize the limitations due to the presence of external or internal magnetic fields. Then, we compare obtained performances with the ones with optimized geometries for which the presence of the magnetic field is taken into account from the design phase.
Two effects of the bias supply line on the performance of RSFQ circuits have been studied: inductive coupling between the bias supply line and circuit inductances; effect of the mirrored current in the ground plane. The following results of the study are presented: 3D calculations and experimental measurements of inductive coupling between parallel and perpendicular microstrips in presence of one and two ground planes; calculated margins dependence on the external magnetic field in RSFQ cell. Bias current density extraction method has been developed and implemented in RSFQ circuit design flow.