Accession Number:

ADA027886

Title:

Magnetic Flux Propagation on a Josephson Transmission Line.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Scott,Alwyn C.
• Chu,Flora Y. F.
• Reible,Stanley A.

Report Date:

1976-02-01

Pagination or Media Count:

73.0

Abstract:

The propagation of magnetic flux pulses along the insulating barrier of a long Josephson junction is investigated both theoretically and experimentally. The theoretical study includes applications of both 1 the recently developed inverse scattering transform method ISTM to the corresponding sine-Gordon equation in characteristic light cone coordinates, and 2 Whithams method WM of averaged Lagrangian analysis to the sine-Gordon equation in laboratory coordinates. As the number of solitons flux quanta in the pulse becomes large, the ISRM becomes numerically unwieldy while WM becomes more accurate thus these two analytical tools are complementary. WM has the advantage of being readily modified to account for small dissipative effects.

Descriptors:

• *TRANSMISSION LINES
• *JOSEPHSON JUNCTIONS
• MATHEMATICAL MODELS
• FOURIER TRANSFORMATION
• NUMERICAL ANALYSIS
• VOLTAGE
• PULSES
• FLUX DENSITY

Subject Categories:

• Electrical and Electronic Equipment
• Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE