{"id":110,"date":"2025-09-20T01:58:47","date_gmt":"2025-09-20T01:58:47","guid":{"rendered":"https:\/\/itisallmath.com\/optics\/"},"modified":"2025-12-31T15:00:36","modified_gmt":"2025-12-31T15:00:36","slug":"optics","status":"publish","type":"page","link":"https:\/\/itisallmath.com\/es\/physics\/optics\/","title":{"rendered":"Optics"},"content":{"rendered":"<div class=\"wp-block-uagb-container uagb-block-17b1ff6b alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\"><\/div><\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-1653e826 alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1600\" height=\"423\" src=\"https:\/\/itisallmath.com\/wp-content\/uploads\/2025\/09\/websitebanneroptics-YleMapNPq4U5J8zV.webp\" alt=\"\" class=\"wp-image-39\" style=\"width:1200px;height:auto\" srcset=\"https:\/\/itisallmath.com\/wp-content\/uploads\/2025\/09\/websitebanneroptics-YleMapNPq4U5J8zV.webp 1600w, https:\/\/itisallmath.com\/wp-content\/uploads\/2025\/09\/websitebanneroptics-YleMapNPq4U5J8zV-300x79.webp 300w, https:\/\/itisallmath.com\/wp-content\/uploads\/2025\/09\/websitebanneroptics-YleMapNPq4U5J8zV-1024x271.webp 1024w, https:\/\/itisallmath.com\/wp-content\/uploads\/2025\/09\/websitebanneroptics-YleMapNPq4U5J8zV-768x203.webp 768w, https:\/\/itisallmath.com\/wp-content\/uploads\/2025\/09\/websitebanneroptics-YleMapNPq4U5J8zV-1536x406.webp 1536w\" sizes=\"auto, (max-width: 1600px) 100vw, 1600px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-4e694629\"><h1 class=\"uagb-heading-text\">What are you going to learn?<\/h1><\/div>\n\n\n\n<p>The student will get an introduction to the discipline of optics and its role in the modern society. The student shall master the geometrical approximation, including Gauss thin lens formula, Fermat&#8217;s and Huygen&#8217;s principles, and the paraxial matrix formalism for refractive and reflective surfaces. The student will be able to analyze typical optical imaging systems, with emphasis on the human eye, the camera, the telescope and the microscope. Know a basics of interferometry, polarization, diffraction, and the basics of coherent and non-coherent light sources. The student shall become able to analyze and calculate interference between plane waves and spherical waves, reflection and transmission of plane waves, and optical wave guiding within thin plates and optical fibers. The student shall understand how the polarization of light changes at reflection and transmission at interfacesThe student shall know the conditions for near and far-field diffraction and be able to calculate the far-field diffraction from gratings and simple aperture functions. The student shall have knowledge about and be able to explain concepts such as numerical aperture, F-number, spatial resolution and image quality for optical systems that originates from diffraction.<\/p>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-9838783f\"><h2 class=\"uagb-heading-text\">Content<\/h2><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-000ddf87 alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-container uagb-block-61f730c4\">\n<div class=\"wp-block-uagb-advanced-heading uagb-block-ca72ed64\"><h3 class=\"uagb-heading-text\"><strong>Chapter 1. Wave Optics<\/strong><\/h3><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Models of Light<\/li>\n\n\n\n<li>Light Interference<\/li>\n\n\n\n<li>The Diffraction Grating<\/li>\n\n\n\n<li>Single Slit Diffraction<\/li>\n\n\n\n<li>Diffraction: A Better Look<\/li>\n\n\n\n<li>Circular Aperture Diffraction<\/li>\n\n\n\n<li>The Wave Model of Light<\/li>\n\n\n\n<li>Interferometers<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-53040102\"><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-46c4d00f alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-container uagb-block-5bdb5f8a\">\n<div class=\"wp-block-uagb-advanced-heading uagb-block-8bdf417b\"><h3 class=\"uagb-heading-text\"><strong>Chapter 2. Rays Optics<\/strong><\/h3><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The Ray Model of Light<\/li>\n\n\n\n<li>Reflection2Refraction<\/li>\n\n\n\n<li>Image Formation by Refraction on a Plane<\/li>\n\n\n\n<li>Thin Lenses: Ray Tracing<\/li>\n\n\n\n<li>Thin Lenses: Refraction Theory<\/li>\n\n\n\n<li>Image Formation with Spherical Mirrors<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-ad0a455d\"><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-efa58faf alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-container uagb-block-e0d6fa45\">\n<div class=\"wp-block-uagb-advanced-heading uagb-block-e265d09b\"><h3 class=\"uagb-heading-text\"><strong>Chapter 3. Optical Instruments<\/strong><\/h3><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Lenses Combination<\/li>\n\n\n\n<li>The Camera<\/li>\n\n\n\n<li>Human Vision<\/li>\n\n\n\n<li>Optical Systems that Magnify<\/li>\n\n\n\n<li>Colos and Dispersion<\/li>\n\n\n\n<li>The Resolution of Optical Instruments<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-1758548b\"><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-7b99e209\"><h2 class=\"uagb-heading-text\">Bibliography<\/h2><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Finn, A.&nbsp;<strong><em>Fundamental University Physics Vol I Mechanics<\/em><\/strong>. Addison-Wesley, USA, 1967.<\/li>\n\n\n\n<li>Young, H., and Freedman, R.&nbsp;<strong><em>University Physics with Modern Physics<\/em><\/strong>. 13th ed., Pearson, San Francisco, 2012.<\/li>\n\n\n\n<li>Kiusalaas, J,&nbsp;<strong><em>Numerical Methods in Engineering with Python 3.<\/em><\/strong>&nbsp;Cambridge University Press, 2013.<\/li>\n\n\n\n<li>Cutnell, John D., Keneth W. Johnson.&nbsp;<strong><em>Physics<\/em><\/strong>. 8th Edition,Wiley and Sons 2009.<\/li>\n\n\n\n<li>Kleppner, D., and Robert J. Kolenkow.&nbsp;<strong><em>An Introduction to Mechanics<\/em><\/strong>. New York, NY: McGraw-Hill, 1973.<\/li>\n\n\n\n<li>Symon, K.<strong><em>Mechanics<\/em><\/strong>, 3rd Edition, Addison-Wesley, 1971.Standing Waves on a String<\/li>\n\n\n\n<li>Waker, J.&nbsp;<strong><em>Fundamentals of Physics Halliday &amp; Resnick. Vol 1<\/em><\/strong><em>.&nbsp;<\/em>10th ed. New York, John Wiley, 2014.<\/li>\n\n\n\n<li>Serway, R., and John W. Jewett.&nbsp;<em>P<\/em><strong><em>hysics for Scientist and Engineers<\/em><\/strong>. 6th ed. Thomson, Brooks\/Cole, 2004<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-c439cc67\"><h2 class=\"uagb-heading-text\">Bibliography<\/h2><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>What are you going to learn? The student will get an introduction to the discipline of optics and its role [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":111,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"wf_page_folders":[33],"class_list":["post-110","page","type-page","status-publish","hentry"],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"hd_qu_size2":false,"1536x1536":false,"2048x2048":false,"trp-custom-language-flag":false},"uagb_author_info":{"display_name":"carroyav02@gmail.com","author_link":"https:\/\/itisallmath.com\/es\/author\/carroyav02gmail-com\/"},"uagb_comment_info":0,"uagb_excerpt":"What are you going to learn? The student will get an introduction to the discipline of optics and its role [&hellip;]","_links":{"self":[{"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/pages\/110","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/comments?post=110"}],"version-history":[{"count":5,"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/pages\/110\/revisions"}],"predecessor-version":[{"id":1563,"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/pages\/110\/revisions\/1563"}],"up":[{"embeddable":true,"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/pages\/111"}],"wp:attachment":[{"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/media?parent=110"}],"wp:term":[{"taxonomy":"wf_page_folders","embeddable":true,"href":"https:\/\/itisallmath.com\/es\/wp-json\/wp\/v2\/wf_page_folders?post=110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}