Electromagnetic waves in a Josephson junction in a thin film

Details Electromagnetic waves in a Josephson junction in a thin film Electromagnetic waves in a Josephson junction in a thin film

1994-07-28

arxiv.org/abs/cond-mat/9407109v1

Phys. Rev., B 51, 3054 (1995)

Physics

Condensed Matter

12 pages, a figure is included as a uuencodeded postscript file, ReVTeX

Scientific paper

10.1103/PhysRevB.51.3054

We consider a one-dimensional Josephson junction in a superconducting film with the thickness that is much less than the London penetration depth. We treat an electromagnetic wave propagating along this tunnel contact. We show that the electrodynamics of a Josephson junction in a thin film is nonlocal if the wave length is less than the Pearl penetration depth. We find the integro-differential equation determining the phase difference between the two superconductors forming the tunnel contact. We use this equation to calculate the dispersion relation for an electromagnetic wave propagating along the Josephson junction. We find that the frequency of this wave is proportional to the square root of the wave vector if the wave length is less than the Pearl penetration depth.

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