STATIC PROPERTIES AND WAVEGUIDE MODES OF A WIDE LATERAL WINDOW JOSEPHSON JUNCTION

Jean-Guy Caputo, Nikos Efremidis, Nikos Flytzanis, Nikos Lazarides, Yuri Gaididei, Irene Moulitsa and Emmanuel Vavalis ()
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Jean-Guy Caputo: Laboratoire de Mathématiques, Institut de Sciences Appliquees, and U.R.A. C.N.R.S. 1378, BP8, 76131 Mont-Saint-Aignan Cedex, France
Nikos Efremidis: Physics Department, University of Crete, 71409 Heraklion, Greece
Nikos Flytzanis: Physics Department, University of Crete, 71409 Heraklion, Greece
Nikos Lazarides: Physics Department, University of Crete, 71409 Heraklion, Greece
Yuri Gaididei: Institute for Theoretical Physics, 252143 Kiev, Ukraine
Irene Moulitsa: Mathematics Department, University of Crete, 71409 Heraklion, Greece;
Emmanuel Vavalis: Mathematics Department, University of Crete, 71409 Heraklion, Greece;

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 03, 493-517

Abstract: We developed an efficient hybrid mode expansion method to study the maximum tunneling current as a function of the external magnetic field for a 2D large area lateral window junction. We consider the inhomogeneity in the critical current density, which is taken a piecewise constant. The natural modes of the expansion iny, are the linearized eigen-modes around a static solution which satisfies the 1D sine-Gordon equation with the critical current variation iny, and the boundary conditions determined by the overlap component of the bias current, which can be inline or overlap like. The magnetic field along with the inline component of the bias current enters as a boundary condition on the modal amplitudes. We obtain fast convergent results and for a ratio of idle to window widths ofw0/w = 4(in units ofλJ), only two modes are needed. A simple scaling is obtained for the maximum tunneling current as we vary the idle region width. We also present the linear electromagnetic waveguide modes taking into account the variation normal to the waveguide of the critical current and the capacitance.

Keywords: Josephson Junctions; Partial Differential Equations; Solitons; 03.40.Kf; 05.40.+j; 66.90.+r; 42.25.-p (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100000420

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