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Error Propagation

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Advanced Multipoles for Accelerator Magnets

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 277))

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Abstract

In the preceding chapter two methods were presented which allow measuring elliptical cylindrical multipoles and toroidal circular multipoles based on rotating coil probes. Here now an analysis of the error propagation is given, which allows deducing the measurement accuracy.

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References

  1. W. Weber, Über die Anwendung der magnetischen Induktion auf Messung der Inclination mit dem Magnetometer. Ann. der Physik 166, 209–247 (1853)

    Article  ADS  Google Scholar 

  2. J.K. Cobb, R.S. Cole, Spectroscopy of quadrupole magnet, in Proceedings/International Symposium on Magnet Technology (MT-1), (Stanford, USA, 1965), pp. 431–446

    Google Scholar 

  3. W.G. Davies, The theory of the measurement of magnetic multipole fields with rotating coil magnetometers. Nucl. Instrum. Methods. Phys. Res. A: Accel. Spectrom. Detect. Assoc. Equip. 311(3), 399–436 (1992)

    Article  ADS  Google Scholar 

  4. A.K. Jain, Harmonic coils, in CAS Magnetic Measurement and Alignment ed. by S. Turner (CERN, Aug 1998), pp. 175–217

    Google Scholar 

  5. A. Devred, M. Traveria, Magnetic field and flux of particle accelerator magnets in complex formalism, not published, 1994

    Google Scholar 

  6. P. Schnizer, Measuring system qualification for LHC arc quadrupole magnets. PhD thesis, TU Graz, 2002

    Google Scholar 

  7. S.I. Gradshteyn, I.M. Ryzhik, Table of Integrals (Academic Press, Series and Products, 1965)

    MATH  Google Scholar 

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Correspondence to Pierre Schnizer .

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Schnizer, P. (2017). Error Propagation. In: Advanced Multipoles for Accelerator Magnets. Springer Tracts in Modern Physics, vol 277. Springer, Cham. https://doi.org/10.1007/978-3-319-65666-3_9

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