Abstract
A new family of partially coherent pulsed beams with spatial cosine-Gaussian and temporal Laguerre–Gaussian correlations, named spatial cosine-Gaussian and temporal Laguerre–Gaussian correlated Schell-model (SCTLGSM) pulsed beams, is introduced. An analytic propagation formula is derived for the SCTLGSM pulsed beam through the spatiotemporal ABCD optical system characterizing a continuous dispersive medium. As an example, the evolution of spatiotemporal intensity of the SCTLGSM pulsed beam in a still, pure water column is then investigated. It is found that the SCTLGSM pulsed beams simultaneously exhibit spatiotemporal self-splitting and self-focusing phenomena, which can be attributed to the special spatial/temporal coherence structures and the presence of pulse chirper in the source plane. The physical interpretation of the obtained phenomena is given. The results obtained in this paper will be of interest in underwater optical technologies, e.g., directed energy and communications.
Highlights
In the past few years, a great deal of attention has been paid to partially coherent beams radiated by sources with non-Gaussian correlation functions [1,2,3,4,5,6,7,8,9]
We explore the evolution of the spatiotemporal intensity of a typical spatial cosine-Gaussian and temporal Laguerre–Gaussian correlated Schell-model (SCTLGSM) pulsed beam through an ABCD optical system describing a diffractive and a dispersive medium, generalizing the particular media considered in
In the space–time domain, the second-order correlation properties of a partially coherent pulsed beam are described by the mutual coherence function (MCF) [39,43,44]
Summary
In the past few years, a great deal of attention has been paid to partially coherent beams radiated by sources with non-Gaussian correlation functions [1,2,3,4,5,6,7,8,9]. The self-splitting/self-focusing of a non-stationary pulse in the temporal and spatial domains can be potentially used in optical communication systems operating in dispersive environments, e.g., underwater, for information encoding This phenomenon can be applied in temporal ghost imaging [40,41] and optical coherence tomography [42] for obtaining the pulse replicas that can be used for further manipulation of imaged/sensed fields
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