An analytical model for backscattered luminance in fog: comparisons with Monte Carlo computations and experimental results
type: Dataset
description: We propose an analytical model for backscattered luminance in fog and derive an expression for the visibility signal-to-noise ratio as a function of meteorological visibility distance. The model uses single scattering processes. It is based on the Mie theory and the geometry of the optical device (emitter and receiver). In particular, we present an overlap function and take the phase function of fog into account. The results of the backscattered luminance obtained with our analytical model are compared to simulations made using the Monte Carlo method based on multiple scattering processes. An excellent agreement is found in that the discrepancy between the results is smaller than the Monte Carlo standard uncertainties. If we take no account of the geometry of the optical device, the results of the model-estimated backscattered luminance differ from the simulations by a factor 20. We also conclude that the signal-to-noise ratio computed with the Monte Carlo method and our analytical model is in good agreement with experimental results since the mean difference between the calculations and experimental measurements is smaller than the experimental uncertainty.
issued: 2026-05-05T18:59:16.324760
language: en
modified: 2026-05-05T18:59:16.324764
contact point: Organization
  fn: CCSD
keyword: brouillard
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: luminance
keyword: methode-de-mesure
keyword: methode-de-monte-carlo
keyword: modele-mathematique
keyword: retrodiffusion
keyword: spioptiengineering-sciences-physicsoptics--photonic
keyword: vision
landing page: 0957-0233

An analytical model for backscattered luminance in fog: comparisons with Monte Carlo computations and experimental results
type: Distribution
format: HTML
issued: 2026-05-05T18:59:16.338163
modified: 2026-05-05T18:59:16.309874
access URL: https://hal.science/hal-00969263

test_moissonnage_selune
type: Agent