Wavelet tomography of the Galactic magnetic field. I. The method

Details Wavelet tomography of the Galactic magnetic field. I. The method Wavelet tomography of the Galactic magnetic field. I. The method

2001-12-21

arxiv.org/abs/astro-ph/0112507v1

Astronomy and Astrophysics

Astrophysics

8 pages, 12 Postscript figures, submitted to A&A

Scientific paper

10.1051/0004-6361:20020552

We suggest a two-dimensional wavelet devised to deduce the large-scale structure of a physical field (e.g., the Galactic magnetic field) from its integrals along straight paths from irregularly spaced data points to a fixed interior point (the observer). The method can be applied to the analysis of pulsar rotation and dispersion measures in terms of the large-scale Galactic magnetic field and electron density. The method does not use any 'a priori' assumptions about the physical field and can be considered as an algorithm of wavelet differentiation. We argue that a certain combination of the wavelet transformation with model fitting would be most efficient in the interpretation of the available pulsar RM data.

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