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Unbiased iterative reconstruction of polarization and space-charge profiles from thermal-wave experiments

Axel Mellinger

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The thermal-wave technique or laser-intensity modulation method is an important tool for the non-destructive probing of space-charge and polarization profiles in electrets. Analysing the experimental data requires solving a Fredholm integral equation which is known to be an ill-conditioned problem. This paper presents an iterative approach that is capable of reconstructing inherently unsmooth distributions. The deviations from the true profiles are slightly smaller than those obtained with Tikhonov regularization, while the computational burden is not a limiting factor on modern personal computers. The optimum number of iterations is estimated using the randomized generalized cross-validation technique. Results are shown for a number of model distributions, as well as for experimental data from a layered polyvinylidene fluoride film sandwich.


PACS

77.70.+a Pyroelectric and electrocaloric effects

77.84.-s Dielectric, piezoelectric, ferroelectric, and antiferroelectric materials

77.22.Jp Dielectric breakdown and space-charge effects

77.22.Ej Polarization and depolarization

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 7 (July 2004)

Received 6 November 2003, in final form 18 May 2004

Published 16 June 2004



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