Complex Gaussianity of long-distance random wave processes
arXiv:2402.17107 · doi:10.1007/s00205-025-02132-w
Abstract
Interference of randomly scattered classical waves naturally leads to familiar speckle patterns, where the wave intensity follows an exponential distribution while the wave field itself is described by a circularly symmetric complex normal distribution. In the Itô-Schrödinger paraxial model of wave beam propagation, we demonstrate how a deterministic incident beam transitions to such a fully developed speckle pattern over long distances in the so-called scintillation (weak-coupling) regime.
38 pages
References in corpus (7)
- Kinetic Limit for Wave Propagation in a Random Medium
- Coupled paraxial wave equations in random media in the white-noise regime
- Self-averaging of Wigner transforms in random media
- Fourth-moment Analysis for Wave Propagation in the White-Noise Paraxial Regime
- Transport of a quantum particle in a time-dependent white-noise potential
- Scintillation Minimization versus Intensity Maximization in Optimal Beams
- Quantum Diffusion via an Approximate Semigroup Property