Abstract
We present a method to generate any genuine electromagnetic partially coherent source (PCS) from correlated, stochastic complex screens. The method described here can be directly implemented on existing spatial-light-modulator-based vector beam generators and can be used in any application which utilizes electromagnetic PCSs. Our method is based on the genuine cross-spectral density matrix criterion. Applying that criterion, we show that stochastic vector field realizations (corresponding to a desired electromagnetic PCS) can be generated by passing correlated Gaussian random numbers through “filters” with space-variant transfer functions. We include step-by-step instructions on how to generate the electromagnetic PCS field realizations. As an example, we simulate the synthesis of a new electromagnetic PCS. Using Monte Carlo analysis, we compute statistical moments from independent optical field realizations and compare those to the corresponding theory. We find that our method produces the desired source—the correct shape, polarization, and coherence properties—within 600 field realizations.
Highlights
In the time since Emil Wolf fundamentally linked polarization and spatial coherence [1,2,3,4], optical scientists have expended much effort designing partially coherent vector sources for many applications, such as free-space optical communications, optical tweezers, medicine, directed energy, and remote sensing [5,6,7,8,9,10]
The fact that the conditions on Rr and Ri are consistent with the physics-based stipulations on p, and further, that Equation (4) forms the basis of the Tx and Ty superposition integrals, means that the synthesis approach we present here is capable of producing any electromagnetic partially coherent source (PCS) with a genuine W
Before discussing the details of the simulation, we present some background on electromagnetic Gaussian pseudo-Schell-model (EGPSM) sources
Summary
In the time since Emil Wolf fundamentally linked polarization and spatial coherence [1,2,3,4], optical scientists have expended much effort designing partially coherent vector sources for many applications, such as free-space optical communications, optical tweezers, medicine, directed energy, and remote sensing [5,6,7,8,9,10]. Modeling each field’s vector component as a deterministic function (corresponding to the component’s shape) multiplied by a random screen (related to the SLM commands), we derive expressions (superposition integrals) for the Ex and Ey screens that yield electric field realizations consistent with the W of a desired electromagnetic PCS. Using this analysis, we develop a step-by-step procedure, or recipe, for generating the aforementioned screens from matrices of zero-mean, unit-variance Gaussian random numbers. We conclude with a brief summary of our work and key findings
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
