Radiative Transfer in Coupled Environmental Systems: An by Knut Stamnes, Jakob J. Stamnes

By Knut Stamnes, Jakob J. Stamnes

This e-book is devoted to the formula and resolution of ahead and inverse difficulties on the topic of coupled media, and offers examples of ways to unravel concrete difficulties in environmental distant sensing of coupled atmosphere-surface systems.

The authors speak about radiative move in coupled media similar to the atmosphere-ocean approach with Lambertian besides non-Lambertian reflecting surfaces on the reduce boundary. The spectral variety from the ultraviolet to the microwave zone of the electromagnetic spectrum is taken into account, as are multi-spectral in addition to hyperspectral distant sensing, whereas strategies of the ahead challenge for unpolarized and polarized radiation are mentioned intimately.

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Extra resources for Radiative Transfer in Coupled Environmental Systems: An Introduction to Forward and Inverse Modeling

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36)] are zero except for , and 81 since , where is the Legendre polynomial of order , and . (57)]. Even with these assumptions, one still needs to deal with the variety of sizes of particles encountered in nature. (84) to carry out the integration over the PSD for each of the matrix elements. (87) should be used for each element of the scattering phase matrix. (95). (72). (95) with replaced by . Hence, we may define a particle volume fraction as 105 Relationship Between Effective Radius and Mode Radius The PSD may also be characterized by an effective radius 106 and an effective variance 107 where is included in the denominator to make dimensionless (Hansen and Travis [95]).

The incident light beam with Stokes vector is in direction with unit vector , and the scattered beam with Stokes vector is in direction with unit vector [16]. (36) simplifies, since and , so that only four independent elements remain. (38) [11], and rotation matrix is periodic with a period . These matrix multiplications are carried out explicitly in some radiative transfer (RT) models including Monte Carlo simulations, while they are implicitly taken care of in other RT models such as the adding-doubling method [82] and the discrete-ordinate method [83, 84] which use the expansion of the phase matrix in generalized spherical functions [85, 86].

16]. (36)] are zero except for , and 81 since , where is the Legendre polynomial of order , and . (57)]. Even with these assumptions, one still needs to deal with the variety of sizes of particles encountered in nature. (84) to carry out the integration over the PSD for each of the matrix elements. (87) should be used for each element of the scattering phase matrix. (95). (72). (95) with replaced by . Hence, we may define a particle volume fraction as 105 Relationship Between Effective Radius and Mode Radius The PSD may also be characterized by an effective radius 106 and an effective variance 107 where is included in the denominator to make dimensionless (Hansen and Travis [95]).

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