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I am doing a bit of work with dynamic light scattering (DLS) data. It is one of the many areas of science where we encounter an inverse problem.

The forward problem is: For a known sized particle, calculate its scattered spectrum (that is easy). The inverse problem is: from the scattered spectrum, calculate the size(s) of the partcile(s) that made the spectrum (that is hard).

What I would like to know is how, given an experimental data set, do you invert that data set to get the original sample properties? I just read some books and they dont seem to go into the maths.

Any help would be greatly appreciated. I am pretty good at MATLAB and would like to code my own inversion routines.

Thanks