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Inductances and attenuation constant for a thin-film superconducting coplanar waveguide resonator
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10.1063/1.4773070
/content/aip/journal/jap/113/1/10.1063/1.4773070
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/1/10.1063/1.4773070
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(solid) and (dashed) vs x for a = 1, b = 2, and C = 1.

Image of FIG. 2.
FIG. 2.

Contour plot of the real part of [Eq. (7) ] as a function of x and y, where b = 2 a when . The central conductor ( ) carries current and the ground planes ( ) carry the return current equally. Contours correspond to magnetic field lines, which flow in a counterclockwise sense around the central conductor.

Image of FIG. 3.
FIG. 3.

, the geometric inductance per unit length in units of , vs b/a, calculated for the case that from the exact expression Eq. (8) (solid) and the approximations Eq. (9) (dashed) and Eq. (10) (dotted).

Image of FIG. 4.
FIG. 4.

Contour plot of the vector potential as a function of x and y, calculated from Eqs. (19) and (25) for the case of two narrow slits at for . The central conductor ( ) carries current and the ground plane ( ) carries the return current. Contours correspond to magnetic field lines, which flow in a counterclockwise sense around the central conductor.

Image of FIG. 5.
FIG. 5.

Sheet-current density from Eqs. (27)–(29) ], normalized to [Eq. (32) ], vs x/a for (solid), 0.1 (dotted-dashed), 1 (dashed), and 10 (dotted).

Image of FIG. 6.
FIG. 6.

The solid curves show the exact inductances per unit length (in units of ) calculated as in Sec. III B : [total, Eq. (35) ], [kinetic, Eq. (34) ], and [geometric, Eq. (31) ] for the limiting case of a thin-film CPW with two narrow slits ( ). The dashed curves show the approximations to the corresponding inductances calculated as described in Sec. ??? .

Image of FIG. 7.
FIG. 7.

The parameter p and 1 − p vs (solid curves) and the approximations of Eq. (44) (dashed) and Eq. (45) (dotted-dashed).

Image of FIG. 8.
FIG. 8.

, the geometric inductance per unit length in units of , vs b/a, calculated from Eq. (39) and Eqs. (40)–(43) for (solid, p = 1), 0.1 (long dash, p = 0.932), 0.3 (dashed, p = 0.817), 1 (dotted-dashed, p = 0.587), and 10 (dotted, p = 0.205).

Image of FIG. 9.
FIG. 9.

, the kinetic inductance per unit length in units of , vs b/a, calculated from Eq. (46) , where p is calculated for each as in Sec. ??? (see Fig. 7 ).

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/content/aip/journal/jap/113/1/10.1063/1.4773070
2013-01-04
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Inductances and attenuation constant for a thin-film superconducting coplanar waveguide resonator
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/1/10.1063/1.4773070
10.1063/1.4773070
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