Rj. Wijngaarden et al., DETERMINATION OF 2-DIMENSIONAL CURRENT PATTERNS IN FLAT SUPERCONDUCTORS FROM MAGNETOOPTICAL MEASUREMENTS - AN EFFICIENT INVERSION SCHEME, Physical review. B, Condensed matter, 54(9), 1996, pp. 6742-6749
An efficient inversion scheme is given to derive the local currents in
a superconductor from the z component of the magnetic field measured
above its surface, as is done using magneto-optical indicators. The me
thod works for samples of arbitrary thickness provided that the curren
t vector has only x and y components. Data storage is much lower and c
onvergence much faster than in previously reported schemes. The influe
nce of the distance of observation and of the sample aspect ratio on t
he measured field H-z is investigated. The current calculated from the
magneto-optical observation of a real sample (a Bi2Sr2CaCu2O8 single
crystal) is in good agreement with the value measured directly by mean
s of torque magnetometry.