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Jones calculus provides a robust and straightforward method to characterizepolarized light and polarizing optical systems using two-element vectors (Jonesvectors) and $2 \times 2$ matrices (Jones matrices). Jones matrices are used todetermine the retardance and diattenuation introduced by an optical element ora sequence of elements. Moreover, they are the tool of choice to study opticalgeometric phases. However, the current sampling method for characterizing theJones matrix of an optical element is inefficient, since the search space ofthe problem is in the realm of the real numbers and so applying a generalsampling method is time-consuming. In this study, we present an initialapproach for solving the problem of finding the eigenvectors that characterizethe Jones matrix of a homogeneous optical element through EvolutionaryAlgorithms (EAs). We evaluate the analytical performance of an EA with aPolynomial Mutation operator and a Genetic Algorithm (GA) with a SimulatedBinary crossover operator and a Polynomial Mutation operator, and compare theresults with those obtained through a general sampling method. The results showthat both the EA and the GA out-performed a general sampling method of 6,000measurements, by requiring in average 103 and 188 fitness functionsmeasurements respectively, while having a perfect rate of convergence.

Jones Matrix Characterization of Optical Elements via Evolutionary Algorithms