White-Noise and Geometrical Optics Limits of Wigner-Moyal Equation for Wave Beams in Turbulent Media
| dc.creator | Fannjiang, Albert C. | |
| dc.date | 2003-04-15 | |
| dc.date | 2004-03-05 | |
| dc.date.accessioned | 2026-07-07T04:29:58Z | |
| dc.date.available | 2026-07-07T04:29:58Z | |
| dc.description | Starting with the Wigner distribution formulation for beam wave propagation in Hölder continuous non-Gaussian random refractive index fields we show that the wave beam regime naturally leads to the white-noise scaling limit and converges to a Gaussian white-noise model which is characterized by the martingale problem associated to a stochastic differential-integral equation of the Itô type. In the simultaneous geometrical optics the convergence to the Gaussian white-noise model for the Liouville equation is also established if the ultraviolet cutoff or the Fresnel number vanishes sufficiently slowly. The advantage of the Gaussian white-noise model is that its $n$-point correlation functions are governed by closed form equations. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0304024 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0304024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57354 | |
| dc.subject | Mathematical Physics | |
| dc.title | White-Noise and Geometrical Optics Limits of Wigner-Moyal Equation for Wave Beams in Turbulent Media | |
| dc.type | text |