The quantification of SIMS depth profiles by Maximum Entropy
reconstruction
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Abstract
The quantification procedures applied to raw SIMS data were devised
on the basis of a simple model for the sputtering and ionisation that occur
during measurement. The model and the associated quantification
procedures have long been known to be inaccurate. If SIMS is to remain a
useful analysis tool in the future, the quantification procedures must be
adjusted such that current features of interest are accurately measured.
This thesis describes the development of a more accurate (though
empirical) model for the effects of the analysis, using the convolution integral.
We propose a method for the quantification of SIMS depth profiles
appropriate to this model, using Maximum Entropy (MaxEnt) reconstruction.
SIMS depth profile data differ significantly from previous applications of the
MaxEnt method: the very high signal to background ratio of the technique has
lead users to plot the results on a logarithmic axis, giving much importance to
extremely small signals.
The noise on SIMS depth profiles has been characterised. A number
of optimisation algorithms have been developed and tested, and the
performance of the MaxEnt method on SIMS data has been assessed. A
novel form of the entropy, particularly suited to SIMS depth profiles, has been
suggested. This form has given excellent results