Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Analytical model for radiative transfer including the effects of a rough material interface

Abstract

The reflected and transmitted radiance due to a source located above a water surface is computed based on models for radiative transfer in continuous optical media separated by a discontinuous air–water interface with random surface roughness. The air–water interface is described as the superposition of random, unresolved roughness on a deterministic realization of a stochastic wave surface at resolved scales. Under the geometric optics assumption, the bidirectional reflection and transmission functions for the air–water interface are approximated by applying regular perturbation methods to Snell’s law and including the effects of a random surface roughness component. Formal analytical solutions to the radiative transfer problem under the small-angle scattering approximation account for the effects of scattering and absorption as light propagates through the atmosphere and water and also capture the diffusive effects due to the interaction of light with the rough material interface that separates the two optical media. Results of the analytical models are validated against Monte Carlo simulations, and the approximation to the bidirectional reflection function is also compared to another well-known analytical model.

© 2016 Optical Society of America

Full Article  |  PDF Article
More Like This
Analytical solution of radiative transfer in the coupled atmosphere-ocean system with a rough surface

Zhonghai Jin, Thomas P. Charlock, Ken Rutledge, Knut Stamnes, and Yingjian Wang
Appl. Opt. 45(28) 7443-7455 (2006)

Radiative transfer model for contaminated rough slabs

François Andrieu, Sylvain Douté, Frédéric Schmidt, and Bernard Schmitt
Appl. Opt. 54(31) 9228-9241 (2015)

Simple ray-tracing model for a rough surface including multiple scattering effects

Yoshifumi Sekiguchi and Hiroki Kaneko
Appl. Opt. 56(1) 35-45 (2017)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (10)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (85)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved