Abstract
The celebrated Gaussian Schell model source with its shift-invariant degree of coherence may be the basis for devising sources with space-variant properties in the spirit of structured coherence. Starting from superpositions of Gaussian Schell model sources, we present two classes of genuine cross-spectral densities whose degree of coherence varies across the source area. The first class is based on the use of the Laplace transform while the second deals with cross-spectral densities that are shape-invariant upon paraxial propagation. For the latter, we present a set of shape-invariant cross-spectral densities for which the modal expansion can be explicitly found. We finally solve the problem of ascertain whether an assigned cross-spectral density is shape-invariant by checking if it satisfies a simple differential constraint.
Highlights
IntroductionIn research on partially coherent structured light, a frequent need is to devise the crossspectral density (CSD) [1] of a source in such a way as to obtain prescribed results from it
A class of sources can be generated on assuming that w is a Gaussian Schell model (GSM) crossspectral density (CSD) depending on a scalar variable v
What is required is the continuous superposition of GSM CSDs weighted with a function p(v) in which the shape-invariance condition is satisfied for any value of v
Summary
In research on partially coherent structured light, a frequent need is to devise the crossspectral density (CSD) [1] of a source in such a way as to obtain prescribed results from it. The advantage of Equation (2) is that it allows us to combine with weight p(v) all the CSDs of a continuous or discrete set. This opens the way to numberless variations on the theme. A class of sources can be generated on assuming that w is a Gaussian Schell model (GSM) CSD depending on a scalar variable v.
Sign-in/Register to view highlights & summary 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.
