Microwave phase locking of Josephson-junction fluxon oscillators

Journal Article · Sun Apr 01 04:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.41.6641· OSTI ID:6944322

Salerno, M ^[1]; Samuelsen, M R ^[2]; Filatrella, G ^[3]; Pagano, S ^[4]; Parmentier, R D ^[3]

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1. Department of Theoretical Physics, University of Salerno, I-84100 Salerno, Italy (IT)
2. Physics Laboratory I, The Technical University of Denmark, DK-2800 Lyngby, Denmark (DK)
3. Department of Physics, University of Salerno, I-84100 Salerno, Italy (IT)
4. Institute of Cybernetics of the Consiglio Nazionale delle Ricerche, I-80072 Arco Felice, Napoli, Italy (IT)

Application of the classic McLaughlin-Scott soliton perturbation theory to a Josephson-junction fluxon subjected to a microwave field that interacts with the fluxon only at the junction boundaries reduces the problem of phase locking of the fluxon oscillation to the study of a two-dimensional functional map. Phase-locked states correspond to fixed points of the map. For junctions of in-line geometry, the existence and stability of such fixed points can be studied analytically. Study of overlap-geometry junctions requires the numerical inversion of a functional equation, but the results are qualitatively very similar. The map predicts significantly different behaviors for locking at odd and even subharmonic frequencies and at superharmonic frequencies. It also gives indications regarding hysteresis in the current-voltage characteristic, the existence of zero-crossing steps, and a description of the locking process in the frequency domain. The principal merit of the map is that it captures much of the experimental phenomenology at a very low computational cost.

• OSTI ID: 6944322
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:10; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

426001* -- Engineering-- Superconducting Devices & Circuits-- (1990-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTROMAGNETIC RADIATION
ELECTRONIC EQUIPMENT
EQUIPMENT
HYSTERESIS
JOSEPHSON JUNCTIONS
JUNCTIONS
MAPPING
MICROWAVE RADIATION
MODE LOCKING
OSCILLATORS
RADIATIONS
SUPERCONDUCTING JUNCTIONS
TWO-DIMENSIONAL CALCULATIONS