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Inversion of the Biot-Savart Law: An Approach Based on Discrete Sine and Cosine Transforms

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Magneto-Optical Imaging

Part of the book series: NATO Science Series ((NAII,volume 142))

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Abstract

In this paper, we expose the key features of an algorithm based on the DFT (Discrete Fourier Transform) that permits one to invert the Biot-Savart law without artifacts although the number of data is finite.

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References

  1. Wijngaarden, R., Spoelder, R., Surdeanu, R. and Griessen, R., 1996 Phys. Rev. B 54, 6742–6749.

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  2. Wijngaarden, R., Heeck, K., Spoelder, H., Surdeanu, R. and Griessen, R., 1998 Physica C 295, 177–185.

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  3. Jooss, Ch., Albrecht, J., Kuhn, H., Leonhardt, S. and Kronmüller, H., 2002 Rep. Prog. Phys. 65, 651–787.

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  4. Sneddon, I. N., 1995 Fourier Transforms. Dover.

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© 2004 Springer Science+Business Media Dordrecht

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Dirickx, M., Denis, S., Vanderheyden, B., Dusoulier, L., Ausloos, M. (2004). Inversion of the Biot-Savart Law: An Approach Based on Discrete Sine and Cosine Transforms. In: Johansen, T.H., Shantsev, D.V. (eds) Magneto-Optical Imaging. NATO Science Series, vol 142. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1007-8_33

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  • DOI: https://doi.org/10.1007/978-94-007-1007-8_33

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1998-2

  • Online ISBN: 978-94-007-1007-8

  • eBook Packages: Springer Book Archive

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