A numerical solution of a model for a superconductor field problem

Alsop, L. E.; Goodman, Alvin S.; Gustavson, Fred G.; Miranker, Willard L.

doi:10.1016/0021-9991(79)90070-6

Cited by 27 publications

(14 citation statements)

References 2 publications

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“…Our method is compared with the Alsop method [2], FastHenry [4] and Chang formula [7] in a 2D stripline (table 1). The results of our method agree well with those of the Alsop method and those of FastHenry for all the aspect Table 1.…”

Section: Superconducting Striplinementioning

confidence: 99%

“…The method of images is used to avoid discretizing a large superconducting GP, which is time as well as memory consuming. Many papers have used the method of images previously [2][3][4]. However, to our knowledge the position of the mirror plane remains unknown analytically.…”

Section: Introductionmentioning

confidence: 99%

“…However, to our knowledge the position of the mirror plane remains unknown analytically. In [2] and [3] the mirror plane is assumed to be at the upper boundary of the GP, and in [4] the GP is actually discretized to find the position of the mirror plane. We propose that the mirror plane should be located at the effective penetration depth below the surface of the GP in order to obtain the exact solution.…”

Section: Introductionmentioning

confidence: 99%

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Inductance calculation of 3D superconducting structures with ground plane

Teh

Kitagawa

Okabe

1999

Supercond. Sci. Technol.

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An inductance calculation method, which is based on calculating the current distribution of a fluxoid-trapped superconducting loop by using the expression of momentum and the Maxwell equations, is reconstructed to enable calculation of arbitrary 3D structures which have a ground plane (GP). Calculation of the mutual inductances of the superconductor system is also incorporated into the algorithm. The method of images is used to save computational resources, and the mirror plane is demonstrated to be just at the effective penetration depth below the upper boundary of the GP. The algorithm offers accurate results with reasonable calculation time.

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Section: Superconducting Striplinementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Inductance calculation of 3D superconducting structures with ground plane

Teh

Kitagawa

Okabe

1999

Supercond. Sci. Technol.

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“…Le couplage magnétique des lignes entre elles et sur le circuit se traduit par la matrice inductance. En 1979, Alsop et al [4] ont proposé une méthode de différences finies permettant de déterminer la configuration du champ magnétique pour un ensemble de lignes supraconductrices sur plan de masse. Leur méthode suppose qu'il n'y a pas de pénétration dans le plan de masse et nécessite l'introduction de frontières autour du système étudié; elle n'est pas très bien adaptée aux structures illimitées.…”

Section: Introduction -La Commutation D'une Jonctionunclassified

“…Compte tenu de la relation (14) la matrice inductance s'obtient par inversion de la matrice [P] : Lorsque l'on fixe les conditions d'excitation de chaque ligne, la matrice courant [I] est connue et les densités de courant dans les conducteurs s'obtiennent à partir des relations (21), (20) et (16). 4. Champ magnétique.…”

Section: Introduction -La Commutation D'une Jonctionunclassified

Inductance, répartition des courants et champ magnétique pour un ensemble de lignes supraconductrices

Chilo

Monllor

1982

Rev. Phys. Appl. (Paris)

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2014 Nous déterminons l'énergie libre d'un ensemble de lignes supraconductrices et la minimisons par une méthode variationnelle. Nous calculons la distribution des courants, la structure du champ magnétique et la matrice inductance du système. Les résultats obtenus pour une ligne micro-ruban supraconductrice mettent en évidence les effets de bords liés à la géométrie utilisée (ruban de largeur 2,5 03BCm). Ces effets peuvent être à l'origine de couplages parasites dont le rôle doit être pris en compte dans la conception de circuits intégrés réalisés en technologie Josephson. Nous montrons également l'influence des profondeurs de London sur la distribution des courants dans les supraconducteurs et sur la structure du champ magnétique en tous points de la ligne. Abstract. 2014 We determine the free energy of a superconducting network and minimize it by a variational method. We calculate the current density distribution, the structure of the magnetic field and the inductance matrix. The results obtained for a superconducting microstrip line show the edge effects related to the geometry used (width of the strip : 2.5 03BCm). These effects produce « cross-talk » which must be taken into account in integrated Josephson circuit conception. We also show the influence of the London penetration depth on the distribution of the current density in superconductors and on the magnetic field structure in any point of the microstrip line.

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Propagation characteristics of superconductive interconnects

Cangellaris

1988

Micro & Optical Tech Letters

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Under the assumptions of weak magnetic fields and temperatures well below the critical temperature of the superconductors, the propagation characteristics of a set of N coupled superconducting strips are calculated using an integral equation approach. The proposed theory provides accurate results for frequencies up to a few GHz. Magnetic field calculations allow us to predict acceptable values for the currents in the strips. Comparison with the propagation characteristics of aluminum strips demonstrates the major advantages of superconducting transmission lines, namely, negligible losses and dispersion, and higher phase velocities. Such properties are highly desirable in the engineering of fast interconnects for modern high‐speed integrated circuits.

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A numerical solution of a model for a superconductor field problem

Cited by 27 publications

References 2 publications

Inductance calculation of 3D superconducting structures with ground plane

Inductance calculation of 3D superconducting structures with ground plane

Inductance, répartition des courants et champ magnétique pour un ensemble de lignes supraconductrices

Propagation characteristics of superconductive interconnects

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