Fourth-moment Analysis for Wave Propagation in the White-Noise Paraxial Regime

Abstract

In this paper we consider the Ito-Schrodinger model for wave propagation in random media in the paraxial regime. We solve the equation for the fourth-order moment of the field in the regime where the correlation length of the medium is smaller than the initial beam width. As applications we prove that the centered fourth-order moments of the field satisfy the Gaussian summation rule, we derive the covariance function of the intensity of the transmitted beam, and the variance of the smoothed Wigner transform of the transmitted field. The second application is used to explicitly quantify the scintillation of the transmitted beam and the third application to quantify the statistical stability of the Wigner transform.

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References in corpus (4)

• Image Transmission Through an Opaque Material
• Universal optimal transmission of light through disordered materials
• Coherent control of total transmission of light through disordered media
• Coupled paraxial wave equations in random media in the white-noise regime

Cited by in corpus (6)

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