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Simulation of bended planar waveguides for optical bus-couplersLorenz, Lukas, Nieweglowski, Krzysztof, Wolter, Klaus-Jürgen, Bock, Karlheinz 08 August 2019 (has links)
In our work an optical bus-coupler is proposed, which enables easy bidirectional connection between two waveguides without interrupting the bus using a core-to-core coupling principle. With bended waveguides the coupling ratio can be tuned by adjusting the overlap area of the two cores. In order to ensure large overlap areas at short coupling lengths, the waveguides have rectangular cross sections. To examine the feasibility of this coupling concept a simulation was performed, which is presented in this paper. Due to multimode waveguides, used in short range data communication, a non-sequential ray tracing simulation is reasonable. Simulations revealed that the bending of the waveguide causes a redistribution of the energy within the core. Small radii push the main energy to the outer region of the core increasing the coupling efficiency. On the other hand, at excessive lowered bend radii additional losses occur (due to a coupling into the cladding), which is why an optimum has to be found. Based on the simulation results it is possible to derive requirements and design rules for the coupling element.
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Construction interactive de BRDFs par simulation 2D de micro-géométries en couches multiplesDesjardins, Marc-Antoine 12 1900 (has links)
Les modèles de réflexion complexes, avec leurs nombreux paramètres dont certains restent non intuitifs, sont difficiles à contrôler pour obtenir une apparence désirée. De plus, même si un artiste peut plus aisément comprendre la forme de la micro-géométrie d'une surface, sa modélisation en 3D et sa simulation en 4D demeurent extrêmement fastidieuses et coûteuses en mémoire. Nous proposons une solution intermédiaire, où l'artiste représente en 2D une coupe dans un matériau, en dessinant une micro-géométrie de surface en multi-couches. Une simulation efficace par lancer de rayons en seulement 2D capture les distributions de lumière affectées par les micro-géométries. La déviation hors-plan est calculée automatiquement de façon probabiliste en fonction de la normale au point d'intersection et de la direction du rayon incident. Il en résulte des BRDFs isotropes complètes et complexes, simulées à des vitesses interactives, et permettant ainsi une édition interactive de l'apparence de réflectances riches et variées. / Complex reflection models, with their many parameters, some of which are not intuitive at all, are difficult to control when trying to achieve a desired appearance. Moreover, even if an artist can more easily understand the shape of the surface micro-geometry, its 3D modeling and 4D simulation remain extremely tedious and expensive in memory. We propose an intermediate solution, where the artist represents a 2D cross section of a material, by drawing a multi-layered surface micro-geometry. An efficient 2D ray tracing simulation captures the light distribution specific to those micro-geometries. Off plane deflection is automatically calculated in a probabilistic way, based on the surface normal at the intersection point and the incident ray direction. This results in complete and complex isotropic BRDFs, simulated at interactive rates, and allowing interactive editing of rich and varied materials.
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Construction interactive de BRDFs par simulation 2D de micro-géométries en couches multiplesDesjardins, Marc-Antoine 12 1900 (has links)
Les modèles de réflexion complexes, avec leurs nombreux paramètres dont certains restent non intuitifs, sont difficiles à contrôler pour obtenir une apparence désirée. De plus, même si un artiste peut plus aisément comprendre la forme de la micro-géométrie d'une surface, sa modélisation en 3D et sa simulation en 4D demeurent extrêmement fastidieuses et coûteuses en mémoire. Nous proposons une solution intermédiaire, où l'artiste représente en 2D une coupe dans un matériau, en dessinant une micro-géométrie de surface en multi-couches. Une simulation efficace par lancer de rayons en seulement 2D capture les distributions de lumière affectées par les micro-géométries. La déviation hors-plan est calculée automatiquement de façon probabiliste en fonction de la normale au point d'intersection et de la direction du rayon incident. Il en résulte des BRDFs isotropes complètes et complexes, simulées à des vitesses interactives, et permettant ainsi une édition interactive de l'apparence de réflectances riches et variées. / Complex reflection models, with their many parameters, some of which are not intuitive at all, are difficult to control when trying to achieve a desired appearance. Moreover, even if an artist can more easily understand the shape of the surface micro-geometry, its 3D modeling and 4D simulation remain extremely tedious and expensive in memory. We propose an intermediate solution, where the artist represents a 2D cross section of a material, by drawing a multi-layered surface micro-geometry. An efficient 2D ray tracing simulation captures the light distribution specific to those micro-geometries. Off plane deflection is automatically calculated in a probabilistic way, based on the surface normal at the intersection point and the incident ray direction. This results in complete and complex isotropic BRDFs, simulated at interactive rates, and allowing interactive editing of rich and varied materials.
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Inverse Methods In Freeform OpticsLandwehr, Philipp, Cebatarauskas, Paulius, Rosztoczy, Csaba, Röpelinen, Santeri, Zanrosso, Maddalena 13 September 2023 (has links)
Traditional methods in optical design like ray tracing suffer from slow convergence and are not constructive, i.e., each minimal perturbation of input parameters might lead to “chaotic” changes in the output. However, so-called inverse methods can be helpful in designing optical systems of reflectors and lenses. The equations in R2 become ordinary differential equations, while in R3 the equations become partial differential equations. These equations are then used to transform source distributions into target distributions, where the distributions are arbitrary, though assumed to be positive and integrable. In this project, we derive the governing equations and solve them numerically, for the systems presented by our instructor Martijn Anthonissen [Anthonissen et al. 2021]. Additionally, we show how point sources can be derived as a special case of a interval source with di- rected source interval, i.e., with each point in the source interval there is also an associated unit direction vector which could be derived from a system of two interval sources in R2. This way, it is shown that connecting source distributions with target distributions can be classified into two instead of three categories.
The resulting description of point sources as a source along an interval with directed rays could potentially be extended to three dimensions, leading to interpretations of point sources as directed sources on convex or star-shaped sets.:1 Abstract 4
2 Notation And Conventions 4
3 Introduction 5
4 ECMI Modeling Week Challenges 5
4.1 Problem 1 - Parallel to Near-Field Target 5
4.1.1 Description 5
4.1.2 Deriving The Equations 5
4.2 Problem 2 - Parallel Source To Two Targets 8
4.3 Problem 3 - Point Source To Near-Field Target 9
4.3.1 Deriving The Equations 9
4.4 Problem 4 - Point Source To Two Targets 11
5 Validation - Ray tracing 13
5.1 Splines 13
5.1.1 Piece-Wise Affine Reflectors 13
5.1.2 Piece-Wise Cubic Reflectors 14
5.2 Error Estimates For Spline Reflectors 14
5.2.1 Lemma: A Priori Feasibility Of Starting Values For Near-Field Problems 15
5.2.2 Estimates for single reflector, near-field targets 16
5.3 Ray Tracing Errors - Illumination Errors 17
5.3.1 Definition: Axioms For Errors 18
5.3.2 Extrapolated Ray Tracing Error (ERTE) 18
5.3.3 Definition: Minimal Distance Ray Tracing Error (MIRTE) 19
5.3.4 Lemma: Continuity Of The Ray Traced Reflection Projection Of Smooth Reflectors 19
5.3.5 Theorem: Convergence Of The MIRTE 20
5.3.6 Convergence Of The ERTE 21
5.3.7 Application 21
6 Numerical Implementation 21
6.1 The DOPTICS Library 21
6.2 Pseudocode Of The Implementation 21
6.2.1 Solutions Of The Problems 22
6.2.2 Ray Tracing And Ray Tracing Error 22
6.3 ERTE Implementation 25
7 Results 26
7.1 Problem 1: Results 26
7.2 Problem 2: Results 26
7.3 Problem 3: Results 27
7.4 Problem 4: Results 27
8 Generalizations In Two Dimensions 29
8.1 Directed Densities 29
8.2 Generalized, Orthogonally Emitting Sources in R2 30
8.2.1 Point Light Sources As Orthogonally Emitting Sources 30
9 Conclusion and Future Research 32
10 Group Dynamic 32
References 32
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Kirkpatrick-Baez Microscope for Hard X-Ray Imaging of Fast Ignition ExperimentsFriesen, Hal Unknown Date
No description available.
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