Four-dimensional non-linear ray tracing as a visualization tool for gravitational physics

Author(s):  
D. Weiskopf
1997 ◽  
Vol 40 (1) ◽  
Author(s):  
C. B. Papazachos ◽  
G. Nolet

The use of 1D or pseudo- 3D ray tracing techniques in linearized tomographic problems leads to solutions for which it is difficult to assess the true resolution and error distribution. For this reason, we employ a revised 3D bending algorithm (Moser et al., 1992) and show that it can be used efficiently for a non-linear inversion in a stepwise scheme. Initial paths are determined from graph theory in order to avoid local minima in bending. The importance of 3D ray tracing in inversion studies and the limitations of the standard 1D approach are demonstrated through synthetic examples. The speed of the ray tracing and the simple scaling scheme allow for an implementation in large-scale tomographic problems.


2012 ◽  
Vol 503 ◽  
pp. 255-259
Author(s):  
Yang Zhou ◽  
Da Ming Wu ◽  
Xiu Ting Zheng ◽  
Ya Jun Zhang ◽  
Jian Zhuang ◽  
...  

The diffusers with microlens arrays and V-cut micro structures of LED light were designed in this paper. Based on the theory of non-linear ray tracing, optical properties of the diffusers with three different micro structures were simulated by Lighttools. The three different structures are diffuser with non-structures, diffuser with 0.4mm in diameter microlens arrays and diffuser with V-cut which groove width is 0.4mm and the material of the diffusers was PP (polypropylene). Three types of diffusers were fabricated by extrusion rolling method and their transmittance and uniformity were tested. The simulation showed that diffuser with V-cut micro structures had the best transmittance and uniformity. The experiment showed that the diffusers produced by extrusion rolling method had perfect reprint effect. The simulation results and experiment results had much consistency in transmittance and uniformity. This research is helpful to solve the non-uniform luminescence and glare problems of the LED light.


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