Abstract
Temporally-stationary electromagnetic fields with arbitrary second-order coherence functions are simulated using standard statistical tools. In cases where the coherence function takes a commonly-used separable form, a computationally-efficient variation of the approach can be applied. This work provides a generalization of previous spatio-temporal simulators which model only scalar fields and require either restrictions on the coherence function or consider only two points in space. The simulation of a partially-polarized Gaussian Schell-model beam and a partially-radially-polarized beam are demonstrated.
Highlights
The non-deterministic nature of light is well known and is the subject of a significant body of literature, e.g. [1, 2]
The second-order moments of the probability density function (PDF) are directly related to physical measurements and are foremost among the parameters used in the characterization of stochastic electromagnetic fields
This work describes the numerical generation of a discrete random process that can be used to simulate a temporally-stationary electromagnetic field with arbitrary second-order correlation properties
Summary
The non-deterministic nature of light is well known and is the subject of a significant body of literature, e.g. [1, 2]. The simulation of a stochastic scalar field was recently demonstrated [3] This computational method generates a random process as a function of two spatial coordinates and time. A beam simulator provides a complementary tool as it allows the random field to be generated, propagated numerically and the coherence function estimated from the output. The simulated beam can be used as an input to any field-based numerical model of an optical system and the output used in Monte Carlo investigations of the (possibly stochastic) optical system or the properties of the resultant field. One can envision the numerical demonstration of analytical or experimental results from coherence theory, such as propagation-induced spectral shifts [7] or the observation of interference effects from uncorrelated sources using short-time-average measurements [8]. The vector nature of the new model represents a significant generalization as effects such as propagation-induced polarization change [15] or the influence of random media on the polarization state [16] are encompassed
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