DocumentCode :
1542391
Title :
The inverse problem in the magnetic diffraction of Josephson junctions
Author :
Tilbrook, D.L.
Author_Institution :
Div. of Telecommun. & Ind. Phys., CSIRO, Lindfield, NSW, Australia
Volume :
9
Issue :
2
fYear :
1999
fDate :
6/1/1999 12:00:00 AM
Firstpage :
3298
Lastpage :
3301
Abstract :
The determination of the critical current distribution in a Josephson junction is an important practical problem which is potentially capable of providing information about the local junction morphology. One possible approach is based on the magnetic diffraction pattern of the Josephson junction. Since the magnetic diffraction pattern may be expressed as the modulus of the Fourier transform of the current distribution in the junction, the problem of determining the current distribution is equivalent to retrieving the phase information which is lost when taking absolute values. This paper constitutes an analysis of this inverse problem specifically in relation to the determination of the current distribution from the magnetic diffraction pattern. Algorithms developed for similar inverse problems from other fields are examined to determine their applicability to this problem. It is proved that in some special cases the problem may be solved uniquely. In more general cases the density of possible solutions is studied to determine the conditions under which a unique solution might be found by an extension of the experimental procedure.
Keywords :
Fourier transforms; Josephson effect; critical currents; diffraction; inverse problems; Fourier transform; Josephson junction; critical current distribution; inverse problem; magnetic diffraction; Critical current; Current distribution; Diffraction; Fourier transforms; Information retrieval; Inverse problems; Josephson junctions; Magnetic analysis; Morphology; Pattern analysis;
fLanguage :
English
Journal_Title :
Applied Superconductivity, IEEE Transactions on
Publisher :
ieee
ISSN :
1051-8223
Type :
jour
DOI :
10.1109/77.783734
Filename :
783734
Link To Document :
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