Physics – Condensed Matter – Superconductivity
Scientific paper
2007-03-12
Physics
Condensed Matter
Superconductivity
The article was submitted to Inverse Problems
Scientific paper
10.1088/0266-5611/24/2/025022
We consider the inverse problem of designing an array of superconducting Josephson junctions that has a given maximum static current pattern as function of the applied magnetic field. Such devices are used for magnetometry and as Terahertz oscillators. The model is a 2D semilinear elliptic operator with Neuman boundary conditions so the direct problem is difficult to solve because of the multiplicity of solutions. For an array of small junctions in a passive region, the model can be reduced to a 1D linear partial differential equation with Dirac distribution sine nonlinearities. For small junctions and a symmetric device, the maximum current is the absolute value of a cosine Fourier series whose coefficients (resp. frequencies) are proportional to the areas (resp. the positions) of the junctions. The inverse problem is solved by inverse cosine Fourier transform after choosing the area of the central junction. We show several examples using combinations of simple three junction circuits. These new devices could then be tailored to meet specific applications.
Caputo Jean-Guy
Loukitch Lionel
No associations
LandOfFree
Designing arrays of Josephson junctions for specific static responses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Designing arrays of Josephson junctions for specific static responses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Designing arrays of Josephson junctions for specific static responses will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-285621