Magnetic Flux Propagation on a Josephson Transmission Line.

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) Whitham's 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.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA027886

Entities

People

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

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Buildings And Structures
  • Electronics Laboratories
  • Equations
  • Inverse Scattering
  • Josephson Junctions
  • Magnetic Flux
  • Research Facilities
  • Scattering
  • Transmission Lines

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Superconducting Magnet Technology
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Microelectronics