Fast determination of 2D current patterns in flat conductors from measurement of their magnetic field
| Autor: | Rinke J. Wijngaarden, H.J.W. Spoelder, R.P. Griessen, R.C. Surdeanu, K. Heeck |
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| Přispěvatelé: | Photo Conversion Materials, Physical Computer Science |
| Rok vydání: | 1998 |
| Předmět: |
Physics
Pixel business.industry Mathematical analysis Fast Fourier transform Energy Engineering and Power Technology Condensed Matter Physics Toeplitz matrix Electronic Optical and Magnetic Materials Magnetic field Conductor Optics Conjugate gradient method SDG 7 - Affordable and Clean Energy Electrical and Electronic Engineering business Electrical conductor Current density |
| Zdroj: | Wijngaarden, R J, Heeck, K, Spoelder, H J W, Surdeanu, R C & Griessen, R P 1998, ' Fast determination of 2D current patterns in flat conductors from measurement in their magnetic field. ', Physica C. Superconductivity and its Applications, vol. 295, no. 3-4, pp. 177-185 . https://doi.org/10.1016/S0921-4534(97)01799-1 Physica C. Superconductivity and its Applications, 295(3-4), 177-185. Elsevier |
| ISSN: | 0921-4534 |
| DOI: | 10.1016/s0921-4534(97)01799-1 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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