Fast determination of 2D current patterns in flat conductors from measurement in their magnetic field.

R.J. Wijngaarden, K. Heeck, H.J.W. Spoelder, R.C. Surdeanu, R.P. Griessen

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

An extremely fast method is presented to calculate the local current–density vector in a flat conductor from the z-component of the magnetic field measured above its surface, e.g. by means of magneto-optical indicators, Hall-probe arrays or scanning SQUIDs. The method may be used for samples of arbitrary thickness provided that the current vector has only x- and y-components. The method combines the conjugate gradient (CG) method and fast Fourier transform to invert the relevant Toeplitz matrix equation. For a current map of n×n pixels, the number of operations needed is of order n2.8 only, compared to n4.5 or higher for earlier methods. The increase in speed for 512×512 pixels is found to be a factor 135 with respect to the fastest existing CG method.
Original languageEnglish
Pages (from-to)177-185
Number of pages9
JournalPhysica C. Superconductivity and its Applications
Volume295
Issue number3-4
DOIs
Publication statusPublished - 1 Feb 1998

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