Aplicaciones de la ecuación de transporte de irradiancia (ETI), en metrología óptica.
There is now a large amount of electronic and printed information about the optical tests, but in few there are three-dimensional Wavefront results. In this work we present the study of a technique used as an optical test to evaluate the quality of optical elements through an integral-differential a...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | español |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/1600 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1600 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Inspec/Wavefront info:eu-repo/classification/Inspec/Filters info:eu-repo/classification/Inspec/Finite difference method info:eu-repo/classification/Inspec/Optical metrology. info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2209 |
| Sumario: | There is now a large amount of electronic and printed information about the optical tests, but in few there are three-dimensional Wavefront results. In this work we present the study of a technique used as an optical test to evaluate the quality of optical elements through an integral-differential analysis of the Irradiance Transport Equation (ITE). Therefore, we start from the work of Teague [1], where the ITE is derived and proposes a solution from irradiance measurements and Green functions to obtain the Wavefront. Subsequently, we analyze the work of Takeda [2] who develops a method that interprets interferograms using a Fourier's analysis to obtain the phase, and in turn, the Wavefront. On the other hand, Ichikawa-Lohmann-Takeda (ILT) [3] retakes Takeda's work and applies it to the ITE, using a grid of Ronchi, and from measurements of irradiance in two close planes obtain the Wavefront from lenses under test. In the present work of doctoral thesis, we rely on the methods and techniques of Teague [1], Takeda [2] and ILT [3] to optimize their results, in simulations and experimentally, and obtain a simplified version of the ITE eliminating a of the terms of it. In Chapter One, we describe some aspects of the history of optics, applied to the study of lens quality, and briefly outline our proposal to achieve our objectives. In Chapter 2 we introduced the subject of optical tests, generally as field of work, and the application of the ITE to obtain the Wavefront, similar to ILT [3] based on the Takeda's method [2] of the Fourier transform. In Chapter Three, we will give a brief general introduction to the use of Matlab [4] and filter theory [5], as we will apply this throughout the work. We then simulate the work of ILT [3] and carry out an analysis to the filtering of the Fourier transform technique; in order to optimize their results. In Chapter Four, we used the results of Chapter Three to optimize ILT's work [3], making some modifications to the type of filters that were used. In the experimental arrangement the effect of the period of the Ronchi grid was analyzed; as well as the error introduced by the inclination of the grid relative to the optical axis. |
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