Ray-tracing method

Laplace equations to describe the individual trajectories of all ions across some region in space. As this is more computationally complex, such simulations are carried out using computers. Laplace equations describe the second-order partial 

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To use this general solution, it is only necessary to obtain the distribution of the radiative flux on the reactor wall, say by applying a ray tracing method to the solar collector, and to expand the resulting distribution of radiative flux in a Fourier expansion like (48). Then the solution inside the reactor is obtained. 

The main difference between the proposed method and the convolution approach (in which the line profile is synthesized by convolving the specific instrumental functions) lies in the fact that the former provides an exact solution for the total instrumental function (exact solutions for specific instrumental functions can be obtained as special cases), whereas the latter is based on the approximations for the specific instrumental functions, and their coupling effects after the convolution are unknown. Unlike the ray-tracing method, in the proposed method the diffracted rays contributing to the registered intensity are considered as combined (part of the diffracted cone) and, correspondingly, the contribution to the instrumental line profile is obtained analytically for this part of the diffracted cone and not for a diffracted unit ray as in ray-tracing simulations. 

The agreement between the BIT and ray-tracing methods shown in Figure 4 is excellent. It is important to stress that this agreement is not the result of the averaging, as similar agreement can be seen for single orientations [27]. 

Linden, B.J.V.D. (2002). Radiative heat transfer in glass The algebraic ray trace method. Veenendaal, The Netherlands Universal Press. 

In Figure 6.10 the basic principle of the ray tracing method is explained the data volume is scanned by one or more light ray sources. 

Endruweit A, Long A, Johnson M. Textile composites with integrated optical fibres quantification of the influence of single and multiple fibre bends on the light transmission using a Monte Carlo ray-tracing method. Smart Mater. Struct. 2008 17(1) 1—10. 

Monte Carlo Methods / Ray-tracing Methods Monte Carlo methods are well suited to the thermal radiation problems since the energy travels in photons, having a straight path before interacting with matter. The principle of the Monte Carlo / ray-tracing method is to trace the history of a statistically meaningful number of photons from their point of emission to their point of absorption. 

Fig. 5.6 Influe nee of the optical thickness D on the solid/liquid interface. Simulation of radiative heat transfer was done by a ray-tracing method [37] for a typical VGF growth setup. The temperature difference between the isotherms is 10 K.

The reflection and transmission properties of multiple layers of materials with different refractive indices can be treated either as a ray tracing or as a boundary value problem (e.g., Wolter, 1956 Bom Wolf, 1975). The ray tracing method leads to summations where it is sometimes difficult to follow the phase relations, especially if several layers are to be treated. We follow closely the boundary value method reviewed by Wolter (1956). In effect this method is a generalization of the one-interface boundary problem that led to the formulation of the Fresnel equations in Section 1.6. 

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