Exact solutions of the sine-Gordon equation describing oscillations in a long (but finite) Josephson junction

Journal Article · Mon May 01 04:00:00 EDT 1978 · Appl. Phys. Lett.; (United States)

DOI:https://doi.org/10.1063/1.90113· OSTI ID:5045372

Costabile, G; Parmentier, R D; Savo, B; McLaughlin, D W; Scott, A C

Readily evaluated exact solutions of the sine-Gordon equation are presented for nonlinear standing-wave oscillations on a fixed length of a lossless Josephson transmission line with open-circuit boundary conditions at the ends. Three distinct species of standing waves are described: (i) plasma oscillation, (ii) breather oscillation, and (iii) fluxon oscillation. Fluxon oscillations can absorb power from an external source of bias current; for this case the volt-ampere characteristics relating bias current to average junction have been computed.

• Research Organization: Istituto di Fisica, Universita di Salerno, Salerno, Italy
• OSTI ID: 5045372
• Journal Information: Appl. Phys. Lett.; (United States), Journal Name: Appl. Phys. Lett.; (United States) Vol. 32:9; ISSN APPLA
• Country of Publication: United States
• Language: English

Related Subjects

420201* -- Engineering-- Cryogenic Equipment & Devices
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
ELECTRICAL PROPERTIES
EQUATIONS
FIELD EQUATIONS
JOSEPHSON JUNCTIONS
MAGNETIC FLUX
MATHEMATICAL MODELS
OSCILLATIONS
PHYSICAL PROPERTIES
SINE-GORDON EQUATION
STABILITY
STANDING WAVES
SUPERCONDUCTING JUNCTIONS