Título
Towards the automatization of the Foucault knife-edge quantitative test
Autor
José de Jesús Villa Hernández
JOSE ISMAEL DE LA ROSA VARGAS
Nivel de Acceso
Acceso Abierto
Resumen o descripción
Given the increasing necessity of simple, economical and reliable methods and instruments for performing quality tests of optical surfaces such as mirrors and lenses, in the recent years we resumed the study of the long forgotten Foucault knife-edge test from the point of view of the physical optics, ultimately achieving a closed mathematical expression that directly relates the knife-edge position along the displacement paraxial axis with the observable irradiance pattern, which later allowed us to propose a quantitative methodology for estimating the wavefronterror of an aspherical mirror with precision akin to interferometry.
In this work, we present a further improved digital image processing algorithm in which the sigmoidal cost-
function for calculating the transient slope-point of each associated intensity-illumination profile is replaced for
a simplified version of it, thus making the whole process of estimating the wavefront gradient remarkably more
stable and eficient, at the same time, the Fourier based algorithm employed for gradient integration has been
replaced as well for a regularized quadratic cost-function that allows a considerably easier introduction of the
region of interest (ROI) of the function, which solved by means of a linear gradient conjugate method largely
increases the overall accuracy and e ciency of the algorithm.
This revised approach of our methodology can be easily implemented and handled by most single-board mi-
crocontrollers in the market, hence enabling the implementation of a full-integrated automatized test apparatus,
opening a realistic path for even the proposal of a stand-alone optical mirror analyzer prototype.
Producción Científica de la Universidad Autónoma de Zacatecas UAZ
Fecha de publicación
septiembre de 2017
Tipo de publicación
Ítem publicado en memoria de congreso
Recurso de información
Formato
application/pdf
Idioma
Inglés
Audiencia
Público en general
Repositorio Orígen
Repositorio Institucional Caxcán
Descargas
0