Abstract
Inductance in superconductive circuits plays a significant role in rapid single flux quantum (RSFQ) systems. Inductance estimation is a challenging issue. The microwave behavior of these inductances is characterized by the surface inductance of a line. A methodology to accurately estimate the surface inductance of a stripline is the focus of this chapter. A closed-form expression describing the dependence of the surface inductance of a stripline on the line thickness, magnetic field, and current density is provided. The effects of process parameter variations on the surface inductance are also discussed. An expression to model the effects of the trapezoidal geometry of a stripline is presented. The dependence of the surface inductance on the oxide and metal layer thickness is also presented. The objective is to provide an accurate estimate of the surface inductance for use in automated routing of VLSI complexity RSFQ circuits.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
T. Jabbari, G. Krylov, S. Whiteley, E. Mlinar, J Kawa, E.G. Friedman, Interconnect routing for large scale RSFQ circuits. IEEE Trans. Appl. Supercond. 29(5), 1102805 (2019)
T. Jabbari, E.G. Friedman, Global interconnects in VLSI complexity single flux quantum systems, in Proceedings of the Workshop on System-Level Interconnect: Problems and Pathfinding Workshop (2020), pp. 1–7
T. Jabbari, G. Krylov, S. Whiteley, J. Kawa, E.G. Friedman, Repeater insertion in SFQ interconnect. IEEE Trans. Appl. Supercond. 30(8), 5400508 (2020)
T. Jabbari, E.G. Friedman, Transmission lines in VLSI complexity single flux quantum systems, in Proceedings of the PhotonIcs and Electromagnetics Research Symposium (2023), pp. 1749–1759
T. Jabbari, E.G. Friedman, Flux mitigation in wide superconductive striplines. IEEE Trans. Appl. Supercond. 32(3), 1–6 (2022)
T. Jabbari, E.G. Friedman, Stripline topology for flux mitigation. IEEE Trans. Appl. Supercond. 335, 1–4 (2023)
A.R. Kerr, Surface impedance of superconductors and normal conductors in EM simulators. National Radio Astronomy Observatory, Electronics Division Internal Report, No. 302 (1996)
T. Jabbari, E.G. Friedman, Surface inductance of superconductive striplines. IEEE Trans. Circuits Syst. II Express Briefs 69(6), 2952–2956 (2022)
S.K. Tolpygo, V. Bolkhovsky, T.J. Weir, A. Wynn, D.E. Oates, L.M. Johnson, M.A. Gouker, Advanced fabrication processes for superconducting very large-scale integrated circuits. IEEE Trans. Appl. Supercond. 26(3), 1–10 (2016)
T. Jabbari, E.G. Friedman, Inductive and capacitive coupling noise in superconductive VLSI circuits. IEEE Trans. Appl. Supercond. 33(9), 3800707 (2023)
T. Van Duzer, C.W. Turner, Principles of Superconductive Devices and Circuits, 2nd edn. (Prentice Hall, Hoboken, 1999)
Sonnet Software Inc., Sonnet User’s Guide [Online]. Available: https://www.sonnetsoftware.com/support/downloads/manuals/st_users.pdf
S.K. Tolpygo, E.B. Golden, T.J. Weir, V. Bolkhovsky, Inductance of superconductor integrated circuit features with sizes down to 120 nm. Supercond. Sci. Technol. 34(8), 1–24 (2021)
C.J. Fourie, C. Shawawreh, I.V. Vernik, T.V. Filippov, High-accuracy InductEx calibration sets for MIT-LL SFQ4ee and SFQ5ee processes. IEEE Trans. Appl. Supercond. 27(2), 1–5 (2017)
W. Chang, The inductance of a superconducting strip transmission line. J. Appl. Phys. 50, 8129–8134 (1979)
O.A. Mukhanov, Superconductive single-flux quantum technology, in Proceedings of the IEEE International Solid-State Circuits Conference (1994), pp. 126–127
G. Pasandi, A. Shafaei, M. Pedram, SFQmap: a technology mapping tool for single flux quantum logic circuits, in Proceedings of the IEEE International Symposium on Circuits and Systems (2018), pp. 1–5
J. Mao, O. Wing, F. Chang, Synthesis of coupled transmission lines. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 44(4), 327–337 (1997)
R.N. Das, V. Bolkhovsky, S.K. Tolpygo, P. Gouker, L.M. Johnson, E.A. Dauler, M.A. Gouker, Large scale cryogenic integration approach for superconducting high-performance computing, in Proceedings of the IEEE Electronic Components and Technology Conference (2017), pp. 675–683
W.H. Chang, Analytical IC metal-line capacitance formulas. IEEE Trans. Microwave Theory Tech. 24(9), 608–611 (1976)
C.K. Koc, P.F. Ordung, Schwarz-Christoffel transformation for the simulation of two-dimensional capacitance (VLSI circuits). IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 8(9), 1025–10279 (1989)
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Krylov, G., Jabbari, T., Friedman, E.G. (2024). Surface Inductance of Superconductive Striplines. In: Single Flux Quantum Integrated Circuit Design. Springer, Cham. https://doi.org/10.1007/978-3-031-47475-0_25
Download citation
DOI: https://doi.org/10.1007/978-3-031-47475-0_25
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-47474-3
Online ISBN: 978-3-031-47475-0
eBook Packages: EngineeringEngineering (R0)