Longitudinal spatial and spatiotemporal coherence of a light wave field with wide angular and frequency spectra: mathematical simulation
Lyudmila A. Maksimova, Natalya Yu. Mysina, Vladimir P. Ryabukho; IPTMU RAS - Separate structural subdivision of FRC "Saratov Scientific Center of the Russian Academy of Sciences", Saratov, Russia
Abstract
The coherent properties of a stochastic optical wave field in time and space in the direction of its propagation are investigated. Using the method of mathematical simulation of instantaneous random spatial functions of the complex amplitude of the wave field in its flat cross-sections, simultaneous and multi-temporal functions of the longitudinal coherence of the field were obtained. The longitudinal coherent properties of the field were investigated depending on the shape and width of the angular and frequency spectra of the field. The competing influence of the widths of the angular and frequency spectra of the field on the longitudinal coherence is shown. A comparison of the simulation results with the results of the formal theory of coherence was performed, which showed their coincidence with high accuracy. Studies of longitudinal correlation properties of stochastic wave fields based on computer simulation of spatial distributions of complex amplitudes of wave field realizations have shown their effectiveness and potential for use as an alternative or supplement to a natural experiment.
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Людмила
IPTMU RAS - Separate structural subdivision of FRC "Saratov Scientific Center of the Russian Academy of Sciences"
Russia
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