If you have a convex optimization problem formulation, CVX forum readers might be able to help you formulate or reformulate it for CVX, or deal with any issues in trying to solve it.
However, this is not the appropriate venue for help in formulating a mathematical optimization problem for your phenomenon of interest. Other than you, there might not be any laser shift experts among this forum’s readers.
If you want to use MATLAB, but your optimization problem formulation is not convex (for instance, nonlinear least squares, which might be appropriate for some calibration problems), you might wish to consider using YALMIP.