Propagation of single flux quantum pulse of superconducting transmission line

Tahereh Jabbari, Gleb Krylov, Stephen R. Whiteley +2 more

Superconductive passive transmission lines (PTL) are widely used for signal routing in large-scale rapid single flux quantum (RSFQ) circuits. Due to the imperfect matching of the transmission lines between the driver and receiver, single flux quantum (SFQ) pulses are partially reflected. The round trip propagation time of these reflections can coincide with the following SFQ pulse, resulting in a decrease in bias margins or incorrect circuit behavior. This resonant effect depends upon the length of the PTL and the clock frequency of the signal. A methodology to reduce and manage this effect is the focus of this article. A closed-form expression describing the dependence of the resonance frequency on the length of the PTL is presented. This expression describes a set of forbidden lengths for PTL interconnect segments in RSFQ circuits. The proposed methodology and algorithm insert active PTL-based repeaters into long superconductive interconnect while ensuring the length of the line segment is outside the forbidden region and increasing bias margins.

N. V. Klenov, Igor I. Soloviev, А. В. Кузнецов +3 more

Fei Yan, Archana Kamal, Terry P. Orlando +2 more

Takahiro Yamada, Hirofumi Ryoki, Akira Fujimaki +1 more

We have developed a very flexible wiring technique of passive transmission lines (PTLs) in single-flux-quantum (SFQ) circuits. For high flexibility, we introduced two types of wiring structures of strip lines (SLs) and microstrip lines (MSLs) using the fabrication process which has four metal layers. The SLs and MSLs are realized using the second and fourth metal layers as signal lines, respectively, from the bottom (the other two metal layers are used as ground planes). We also introduced via-holes for transmission between the SL and MSL. For solving the problem of impedance mismatch on complicated discontinuous sections such as joints [between the driver(receiver) and the end of SLs(MSLs)] and via-holes, we optimized the structures of these discontinuous sections and evaluated propagation properties to ensure high-speed transmission of SFQ pulses. We tested the transmission of SFQ pulses through SLs/MSLs including more than 50 via-holes, one of the most complicated lines in actual designs. We confirmed the good propagation properties of SFQ pulses up to 50 Gb/s with sufficiently wide bias margins of ±20% to be used in practical designs.

Letícia Passos da Costa, Heikki Seppä, Martti Valtonen

Vladimir V. Talanov, Derek Knee, David C. Harms +5 more

Abstract Interconnects are a major discriminator for superconducting digital technology, enabling energy-efficient data transfer and high-bandwidth heterogeneous integration. We report a method to simulate propagation of picosecond pulses in superconducting passive transmission lines (PTLs). A frequency-domain propagator model obtained from the Ansys high-frequency structure simulator (HFSS) field solver is incorporated in a Cadence Spectre circuit model, so that the particular PTL geometry can be simulated in the time-domain. The Mattis Bardeen complex conductivity of the superconductor is encoded in the HFSS field solver as a complex-conductivity insulator. Experimental and simulation results show that Nb 20 Ω microstrip PTLs with 200 nm interlayer dielectric thickness can support propagation of a single-flux-quantum pulse up to 7 mm and a double-flux-quantum pulse up to 28 mm.