Question: Diffraction effect of Josephson junction, consider a junction of rectangular cross-section with a magnetic field B applied in the plane of the junction, normal to

Diffraction effect of Josephson junction, consider a junction of rectangular cross-section with a magnetic field B applied in the plane of the junction, normal to an edge of width w. Let the thickness of the junction be T. Assume for convenience that the phase difference of the two superconductors is π/2 when B = 0. Show that the dc current in the presence of the magnetic field is

sin(wTBelhc) J = Jo (wTBe/ħc)

sin(wTBelhc) J = Jo (wTBe/c)

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