Complex-Valued ABCD Matrices and Speckle Metrology

We demonstrate that within the paraxial ray approximation the propagation of light through a complex optical system can be formulated in terms of a Huygens principle expressed with the complete system’s ABCD-matrix elements. As such, propagation through an optical system reduces to that of calculating the relevant matrix elements and substituting these into the expressions derived here. We have introduced complex-valued matrix element to represent apertures, thus having diffraction properties inherent in the description.

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