How to calculate Jones matrix of nanosphere ?

Hello everyone

I want to calculate the jones matrix of nanosphere. For calculating the jones matrix i am thinking the following procedure:
1) First i will incident x-polarized light then i will record corresponding x and y scattered light.
2) Similar process i will follow for incident y - polarized light.

Then by jones matrix formulation i can construct jones matrix.

But i have question is that how to calculate x and y polarized light which is scattered by nanosphere