CELLO

1. Hold the solar cell at some fixed condition with respect to global illumination and either voltage or current as first input.. You then get a defined voltage or current respectively, as an "output" that can be deduced straight from the global characteristics
2. Scan a focussed Laser beam across it, adding a second input. The added illumination at any pixel will "disturb" the solar cell a tiny little bit and the voltage V or current I output will be disturbed a little bit by dV or dI too. Measure how much the is for every pixel.
3. Use more than 1 Laser (up to 4) with different colors simultaneously. Modulate the intensity with several frequencies at once. Measure the phases of the output signals, too. (Do impedance spectroscopy, in other words)
4. You now get dV's or dI's sorted by color and frequency (do a FFT to the signals)
5. Produce a complete dynamical (amplitudes and phases) mathematical model for the solar cell. It contains all the desired parameters as unknowns.
6. With at least as much output data as unknowns, solve the equations for the desired parameters and display in some color scheme