scholarly journals Green's functions for polarized radiative transfer equation in different geometries

2011 ◽  
Vol 7 (S283) ◽  
pp. 358-359
Author(s):  
Juris Freimanis
Keyword(s):  
Radiative Transfer ◽  
Transfer Equation ◽  
Green's Functions ◽  
Radiative Transfer Equation ◽  
Green’S Functions ◽  
Analytic Solutions ◽  
Cylindrical Symmetry ◽  
Exact Analytic Solutions ◽  
Spherical And Cylindrical Symmetry ◽  
Stationary Vector

AbstractA review of some earlier exact analytic solutions of monochromatic stationary vector radiative transfer equation in homogeneous infinite medium is given. It is stressed that Green's functions for plane-parallel, spherical and cylindrical symmetry are expressed through derivatives and integrals from basically one and the same set of functions.

scholarly journals The Evolution of Inhomogeneous Wave Statistics through a Variable Medium

2013 ◽  
Vol 43 (8) ◽  
pp. 1741-1758 ◽  
Author(s):  
P. B. Smit ◽  
T. T. Janssen
Keyword(s):  
Radiative Transfer ◽  
Transfer Equation ◽  
Multiple Scales ◽  
Radiative Transfer Equation ◽  
Wigner Distribution ◽  
Ocean Waves ◽  
Analytic Solutions ◽  
Transport Processes ◽  
Wave Statistics ◽  
Variable Medium

Abstract The interaction of ocean waves with variable currents and topography in coastal areas can result in inhomogeneous statistics because of coherent interferences, which affect wave-driven circulation and transport processes. Stochastic wave models, invariably based on some form of the radiative transfer equation (or action balance), do not account for these effects. The present work develops and discusses a generalization of the radiative transfer equation that includes the effects of coherent interferences on wave statistics. Using multiple scales, the study approximates the transport equation for the (complete) second-order wave correlation matrix. The resulting model transports the coupled-mode spectrum (a form of the Wigner distribution) and accounts for the generation and propagation of coherent interferences in a variable medium. The authors validate the model through comparison with analytic solutions and laboratory observations, discuss the differences with the radiative transfer equation and the limitations of this approximation, and illustrate its ability to resolve coherent interference structures in wave fields such as those typically found in refractive focal zones and around obstacles.

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