Radiative Transfer in the Atmosphere and Ocean

Abstract

This text provides a foundation in both the theoretical and practical aspects of radiative transfer, for advanced students of atmospheric, oceanic and environmental sciences. The transfer of solar and infrared radiation through optically-thick clouds, aerosol layer, and the oceanic mixed layer is presented through the use of heuristic models of scattering and absorption, and a systematic approach to formulation and solution of the radiative transfer equation. Problems such as the transmission of ultraviolet radiation through the atmosphere and ocean, remote sensing, solar heating and infrared cooling processes, UV biological dose rates, and greenhouse warming are solved using a variety of methods. This self-contained, systematic treatment will prepare students from a range of disciplines in problems concerning the effects of solar and infrared radiation on natural systems. The hardback edition received excellent reviews.

Improved scattering radiative transfer for frozen hydrometeors at microwave frequencies

“…As a variant of the two-stream solution, the delta-Eddington method might appear crude in comparison to the many other solvers available (e.g. Thomas and Stamnes, 1999). Indeed four-stream rather than two-stream solvers have been recommended for improved accuracy in scattering calculations in the Community Radiative Transfer Model (Bennartz and Greenwald, 2011).…”

Laguerre Runge--Kutta--Fehlberg Method for Simulating Laser Pulse Propagation in Biological Tissue

“…The exact phase function in biological tissue is still a research issue [34]. In the past, the Henyey-Greenstein phase function (HGPF) was widely used for modeling radiative transfer in many applications [34], [35]. However, due to some discrepancies, recently, researchers have combined a highly anisotropic phase function [(e.g., the Henyey-Greenstein phase function)], and a low anisotropic phase function [e.g., the Rayleigh phase funcition (RLPF)] [36] to approximate the phase function in biological tissue [36].…”

Modifications of discrete ordinate method for computations with high scattering anisotropy: Comparative analysis

“…(2) and N in Eq. (3) seem to be independent, it was shown that N = K/2 gives numerically stable results (Thomas and Stamnes, 1999). Thus N = K/2 is assumed in Section 2.…”

“…Each ordinate corresponds to one equation, and there are N ordinates per hemisphere. The azimuthal dependence of radiance is expressed via Fourier series with M harmonics, where the system of N linear equations is solved independently for each m = 0…M (Thomas and Stamnes, 1999) providing solution in i = 1…N discrete points 1 1 ; 0 , 1 i i P P z r .…”