Wavelet Multiscale Method for the Inversion of Maxwell’s Equation

DING Liang; HAN Bo; LIU Jia-qi

doi:10.3879/j.issn.1000-0887.2009.08.010

Volume 30 Issue 8

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DING Liang, HAN Bo, LIU Jia-qi. Wavelet Multiscale Method for the Inversion of Maxwell’s Equation[J]. Applied Mathematics and Mechanics, 2009, 30(8): 970-978. doi: 10.3879/j.issn.1000-0887.2009.08.010

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Wavelet Multiscale Method for the Inversion of Maxwell’s Equation

doi: 10.3879/j.issn.1000-0887.2009.08.010

Department of Mathematics, School of Science, Harbin Institute of Technology, Harbin 150001, P. R. China

Received Date: 2008-12-27
Rev Recd Date: 2009-06-29
Publish Date: 2009-08-15

Abstract

Abstract

The estimation of the electrical conductivity in Maxwell's equation is concerned with. The primary difficulty is the presence of numerous local minima in the objective functional. A wavelet multiscale method was introduced and applied to the inversion of Maxwell equations. The inverse problem was then decomposed to multiple scales by wavelet transform and hence the original inverse problem was reformulated to a set of subinverse problems corresponding to different scales solved successively according to the size of scale from the shortest to the longest. On each scale, the stable and fast regularized Gauss-Newton method was carried out. The results of numerical simulation showed that this method is an available method, especially on aspects of wide convergence, computational efficiency and precision.
- Maxwell’s equation,
- wavelet multiscale method,
- inversion,
- regularized Gauss-Newton method,
- FDTD(finite difference time domain) method

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References(18)

References

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