{"id":51470,"date":"2026-03-26T16:05:14","date_gmt":"2026-03-26T16:05:14","guid":{"rendered":"https:\/\/www.bright-science.com\/2026\/03\/26\/application-of-monte-carlo-method-for-uncertainty-evaluation-in-photometric-measurements-using-type-c-goniophotometers\/"},"modified":"2026-06-17T11:10:09","modified_gmt":"2026-06-17T11:10:09","slug":"application-of-monte-carlo-method-for-uncertainty-evaluation-in-photometric-measurements-using-type-c-goniophotometers","status":"publish","type":"post","link":"https:\/\/www.bright-science.com\/es\/application-of-monte-carlo-method-for-uncertainty-evaluation-in-photometric-measurements-using-type-c-goniophotometers\/","title":{"rendered":"\u201cApplication of Monte Carlo method for uncertainty evaluation in photometric measurements using type C goniophotometers\u201d"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row type=\u00bbvc_default\u00bb margin_top=\u00bb0&#8243; margin_bottom=\u00bb5&#8243;][vc_column][vc_column_text css=\u00bb\u00bb]<\/p>\n<h3>Art\u00edculo cient\u00edfico sometido al \u201cJournal of Optics\u201d y aceptado para su publicaci\u00f3n en febrero de 2026, en el marco de las pr\u00e1cticas finales del M\u00e1ster en Matem\u00e1tica Aplicada a la Industria del ISEL.<\/h3>\n<p>El estudio eval\u00faa el m\u00e9todo de Monte Carlo (MCM) en la propagaci\u00f3n de la incertidumbre en mediciones fotom\u00e9tricas con goniofot\u00f3metros de tipo C, compar\u00e1ndolo con el m\u00e9todo de la suma de cuadrados. Se probaron tres modelos de MCM: uno basado en las clasificaciones de tipo A\/B, otro en la teor\u00eda de la informaci\u00f3n de Shannon y un tercero con distribuciones aleatorias. El an\u00e1lisis de sensibilidad (Pareto) identific\u00f3 variables clave. Los resultados mostraron menores incertidumbres con el MCM (hasta un 2,3 %) frente al m\u00e9todo tradicional (3,4 %). Se concluye que el MCM mejora la precisi\u00f3n, siendo el modelo de Shannon el m\u00e1s eficiente.<\/p>\n<p><strong>Autores del art\u00edculo<\/strong>: Pedro B. Nogueira, Andr\u00e9 Carvalho y Jos\u00e9 A. Rodrigues, del ISEL, y Jo\u00e3o Ribeiro y Thomas Langhof, de Bright Science.[\/vc_column_text]<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-acd959495bef896151517c98128b1a74.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-acd959495bef896151517c98128b1a74 > i {\n  margin-right: 8px;\n}<\/style><a href=\"\/wp-content\/uploads\/2016\/09\/Bright_Science-Artigos-MMC.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off ico-right-side btn-inline-left  vc_custom_1781690725172\" target=\"_blank\" id=\"default-btn-acd959495bef896151517c98128b1a74\" rel=\"noopener\"><span>Leer art\u00edculo<\/span><i class=\"Defaults-file-pdf-o\"><\/i><\/a>[vc_column_text css=\u00bb\u00bb]Tambi\u00e9n disponible en el <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s12596-026-03088-0\" target=\"_blank\" rel=\"noopener\">Journal of Optics<\/a>.[\/vc_column_text][vc_row_inner css=\u00bb.vc_custom_1474099857231{padding-top: 30px !important;padding-bottom: 30px !important;}\u00bb][vc_column_inner width=\u00bb2\/3&#8243; offset=\u00bbvc_col-lg-offset-2 vc_col-lg-8 vc_col-md-offset-2 vc_col-md-8 vc_col-sm-offset-2&#8243;]<div class=\"hr-thin style-line accent-border-color\" style=\"width: 100%;border-top-width: 3px;\"><\/div>[vc_column_text css=\u00bb.vc_custom_1780502422942{padding-top: 20px !important;padding-bottom: 20px !important;}\u00bb]<\/p>\n<h5 style=\"text-align: center;\"><strong>ABSTRACT:<\/strong><\/h5>\n<h5 style=\"text-align: center;\">\u201cThe Monte Carlo Method is a powerful statistical technique for propagating uncertainty in photometric measurements, particularly when models are nonlinear or input variables deviate from Gaussian distributions. This study explores the application of MCM to luminous flux measurements using Type C goniophotometers, with comparisons to the conventional Root Sum of Squares Method. Three distinct Monte Carlo models were implemented. The first classified uncertainties as Type A or Type B, assigning corresponding probability distributions. The second employed Shannon information<br \/>\ntheory to derive distributions based on available knowledge, while the third exploratory model randomized distribution selection among normal, uniform, and triangular forms. Sensitivity analysis, guided by the Pareto principle, identified the key variables contributing to 80% of overall variability. Results showed that Root Sum of Squares Method yielded an expanded uncertainty of 3.4%, whereas the first, second, and third Monte Carlo models achieved 3.0%, 2.5%, and 2.3%, respectively. Importantly, the Pareto-based reduction strategy preserved accuracy while lowering computational complexity. These findings demonstrate that Monte Carlo Method provides a more effective framework for uncertainty evaluation in photometry than traditional approaches, with the information theory-based model offering the best balance between accuracy and efficiency. The proposed methodology enhances the reliability of luminaire characterization and supports practical adoption in industrial measurement contexts.\u201d<\/h5>\n<p>[\/vc_column_text]<div class=\"hr-thin style-line accent-border-color\" style=\"width: 100%;border-top-width: 3px;\"><\/div>[\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Art\u00edculo cient\u00edfico sometido al \u201cJournal of Optics\u201d y aceptado para su publicaci\u00f3n en febrero de 2026  en el marco del M\u00e1ster en Matem\u00e1tica Aplicada a la Industria del ISEL.<\/p>\n","protected":false},"author":9,"featured_media":51401,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[116],"tags":[136,137,138,139],"class_list":["post-51470","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articulos-cientificos","tag-flujo-luminoso","tag-fotometria-es","tag-metodo-de-monte-carlo-es","tag-propagacion-de-incertidumbres","category-116","description-off"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>&quot;Application of Monte Carlo method for uncertainty evaluation in photometric measurements using type C goniophotometers&quot;<\/title>\n<meta name=\"description\" content=\"Art\u00edculo cient\u00edfico sometido al \u201cJournal of Optics\u201d y aceptado para su publicaci\u00f3n en febrero de 2026 en el marco del M\u00e1ster en 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