Extraction of inductances of a multi-superconductor transmission line

Abstract

The problem of developing an efficient numerical method for inductance extraction of superconducting microstrip transmission lines is considered. The new method which is based on an accurate boundary reduction of the differential equation problem is suggested and compared with known techniques. For this method, the computer program and results of computations are presented. The new algorithm and it's computer realization are faster, less memory consuming, more stable, more precise and can be implemented to transmission lines with arbitrary cross-sections.

Inductance of Circuit Structures for MIT LL Superconductor Electronics Fabrication Process With 8 Niobium Layers

“…We have obtained very tight inductance parameter spreads on 200-mm wafers. We have found a good agreement between the results of 3-D inductance extractors based on FastHenry [16], [22], [23] or similar numeric methods [17], [18], [30] and the experimental data, but much poorer agreement at small linewidths for 2.5-D simulators, e.g., Sonnet [31]. The data obtained can be used for SFQ circuit design into our 4M, 8M, and 10M fabrication processes.…”

“…6(a). [18], [30]. Dash-dotted line is an approximation due to Chang [19]- [21] with a 'fringing' factor b = 0.7 µm, fitting the M6_M7 data only at large widths w > 1 µm.…”

“…In order to fill this gap and provide input parameters for SFQ circuit designers designing into our 8-metal-layer and future 10-metal-layer fabrication processes, we experimentally evaluated inductances of thin-film inductors with linewidth in the range from 250 nm to 4 µm, of various shapes and for the typical combinations of layers available in the process, as well I 2EPo1A-03 as "parasitic" inductance associated with vias between the superconducting layers. We also provide a comparison of the obtained data with numeric simulations using several software packages [16], [17], [18], [30], [31].…”

Inductance extraction of superconductor structures with internal current sources

“…Fortunately one more physical decomposition (14) exists. Physically, it is equivalent to the separation of the total current on the circulating and laminar components.…”

Impact of the Meissner effect on magnetic microtraps for neutral atoms near superconducting thin films

“…More general geometries can be solved using commercial programs which, however, have severe limitations. For example, most of them provide accurate solutions only if the thickness h of the thin film is similar to the penetration depth λ [27]. In the present paper we overcome this limitation and provide an algorithm that provides accurate solutions of the London theory by finding the current distribution that minimizes the free energy.…”