{"id":10254,"date":"2022-09-14T05:27:13","date_gmt":"2022-09-14T05:27:13","guid":{"rendered":"https:\/\/www.szlaser.com\/?page_id=10254"},"modified":"2022-09-14T11:36:16","modified_gmt":"2022-09-14T11:36:16","slug":"geometrical-optics","status":"publish","type":"page","link":"https:\/\/www.szlaser.com\/index.php\/wiki\/geometrical-optics\/","title":{"rendered":"What is Geometrical Optics"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1331.2px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-text fusion-title-size-one\"><h1 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:32;line-height:1.3;\"><h1>What is Geometrical Optics?<\/h1><\/h1><\/div><div class=\"fusion-text fusion-text-1\"><p>Geometrical optics, or ray optics, describes light behavior in terms of \u201crays,\u201d which is an abstracted description for the behavior of light when it travels in a homogeneous medium, bends or splits in two at an interface between two dissimilar media, and then is reflected, refracted or absorbed. The light ray is perpendicular to the light\u2019s wavefronts (and is therefore collinear with the wave vector).<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter wp-image-10256 size-fusion-400\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Plane-wave-Diffracted-wave-400x313.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Plane-wave-Diffracted-wave-400x313.png\" alt=\"\" width=\"400\" height=\"313\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27400%27%20height%3D%27313%27%20viewBox%3D%270%200%20400%20313%27%3E%3Crect%20width%3D%27400%27%20height%3D%27313%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Plane-wave-Diffracted-wave-200x156.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Plane-wave-Diffracted-wave-300x234.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Plane-wave-Diffracted-wave-400x313.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Plane-wave-Diffracted-wave-600x469.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Plane-wave-Diffracted-wave-768x600.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Plane-wave-Diffracted-wave-800x625.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Plane-wave-Diffracted-wave.png 824w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>The main characteristics that refer to the geometrical optics are reflection, refraction, and dispersion, as well as two other factors:<br \/>\n\u2022 scattering, and<br \/>\n\u2022 critical angle and total internal reflection.<\/p>\n<\/div><div class=\"fusion-title title fusion-title-2 fusion-sep-none fusion-title-text fusion-title-size-three\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;line-height:1.3;\"><h3>Scattering<\/h3><\/h3><\/div><div class=\"fusion-text fusion-text-2\"><p>The scattering of light (an electromagnetic radiation) means that when light impinges on or passes through a medium that is not uniform (fully or localized), it scatters in all directions. Theoretically, a perfect mirror\u2019s surface or 100% homogenous optical material (without bubbles or inclusions and with a perfectly polished surface) will reflect or transmit light, respectively, perfectly without scattering; however, in the real world, there is always some kind of inhomogeneity that creates scattering.<br \/>\nScattered light from or in an optical element or assembly mostly affects the following optical characteristics:<br \/>\n\u2022 Transmission of the optical element (more scattering means less<br \/>\ntransmission), and<br \/>\n\u2022 Reflection from exposed (not blackened) surfaces in optical assemblies might confuse the image or the wavefront.<\/p>\n<p>Reducing the scattering is made by the optical engineering by determining the polishing surface quality (by scratch\u2013dig and roughness requirements) and raw material quality, or purity (by bubbles and inclusions class). Thus, the scattering may occur mainly out of the following reasons: a poor polish surface or bubbles and inclusions. Furthermore, the finished optical surfaces of the optical elements must be cleaned during each step of production and assembly in order to eliminate the scattering from different kinds of particles attached to the optical surfaces.<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-fusion-600 wp-image-10257\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface-600x359.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface-600x359.png\" alt=\"\" width=\"600\" height=\"359\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27600%27%20height%3D%27359%27%20viewBox%3D%270%200%20600%20359%27%3E%3Crect%20width%3D%27600%27%20height%3D%27359%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface-200x120.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface-300x180.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface-400x240.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface-600x359.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface-768x460.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface-800x479.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface-1024x613.png 1024w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/a-poor-polish-surface.png 1042w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-fusion-600 wp-image-10258\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/bubbles-and-inclusions-600x292.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/bubbles-and-inclusions-600x292.png\" alt=\"\" width=\"600\" height=\"292\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27600%27%20height%3D%27292%27%20viewBox%3D%270%200%20600%20292%27%3E%3Crect%20width%3D%27600%27%20height%3D%27292%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/bubbles-and-inclusions-200x97.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/bubbles-and-inclusions-300x146.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/bubbles-and-inclusions-400x195.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/bubbles-and-inclusions-600x292.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/bubbles-and-inclusions-768x374.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/bubbles-and-inclusions-800x389.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/bubbles-and-inclusions.png 917w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<\/div><div class=\"fusion-title title fusion-title-3 fusion-sep-none fusion-title-text fusion-title-size-three\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;line-height:1.3;\"><h3><span class=\"notion-enable-hover\" data-token-index=\"0\" data-reactroot=\"\">Critical angle and total internal reflection<\/span><\/h3><\/h3><\/div><div class=\"fusion-text fusion-text-3\"><p>When a light ray passes from one transparent medium to another, there are four possibilities for the light ray behavior:<\/p>\n<ol>\n<li>The light ray is traveling normal to the surface, and it is not bent when passing from one medium to another, but part of it is reflected back. In glasses, each surface reflects about 4% of the incoming energy (light). See possibility (1) in Fig. below.<\/li>\n<li>In ordinary refraction, the incident light ray passing from media n2 in angle uin is reflected and comes out of medium n1 at angle uout.<br \/>\nSee possibility (2) in Fig. below.<\/li>\n<li>Critical angle: The minimum angle of incidence light ray beyond\u00a0which total internal reflection occurs for light traveling from a\u00a0medium with a higher refractive index n2 to a medium with a lower\u00a0refractive index n1. In this case, the refracted light travels along the boundary between the two media and will not cross that boundary.<\/li>\n<li>Total internal reflection (TIR): A phenomenon that occurs when\u00a0a light ray moving in a medium with a higher index of refraction n2\u00a0strikes the boundary of a medium with a lower index of refraction n1\u00a0at an angle that is greater than a particular critical angel. In such case, the entire light ray is reflected back to the original media. The incident ray \u03b81 is equal to the reflected ray \u03b82.<\/li>\n<\/ol>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-fusion-600 wp-image-10259\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1-600x346.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1-600x346.png\" alt=\"\" width=\"600\" height=\"346\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27600%27%20height%3D%27346%27%20viewBox%3D%270%200%20600%20346%27%3E%3Crect%20width%3D%27600%27%20height%3D%27346%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1-200x115.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1-300x173.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1-400x231.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1-600x346.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1-768x443.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1-800x461.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1-1024x591.png 1024w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-1.png 1042w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-fusion-600 wp-image-10260\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2-600x345.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2-600x345.png\" alt=\"\" width=\"600\" height=\"345\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27600%27%20height%3D%27345%27%20viewBox%3D%270%200%20600%20345%27%3E%3Crect%20width%3D%27600%27%20height%3D%27345%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2-200x115.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2-300x172.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2-400x230.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2-600x345.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2-768x441.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2-800x460.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2-1024x589.png 1024w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/possibility-2.png 1042w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>The critical angle can be calculated from Snell\u2019s law;<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-full wp-image-10261\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-n2sin-.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-n2sin-.png\" alt=\"\" width=\"326\" height=\"47\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27326%27%20height%3D%2747%27%20viewBox%3D%270%200%20326%2047%27%3E%3Crect%20width%3D%27326%27%20height%3D%2747%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-n2sin--200x29.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-n2sin--300x43.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-n2sin--320x47.png 320w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-n2sin-.png 326w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 326px) 100vw, 326px\" \/><\/p>\n<p>and<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-full wp-image-10262\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-sin-.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-sin-.png\" alt=\"\" width=\"347\" height=\"46\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27347%27%20height%3D%2746%27%20viewBox%3D%270%200%20347%2046%27%3E%3Crect%20width%3D%27347%27%20height%3D%2746%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-sin--200x27.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-sin--300x40.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-sin-.png 347w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 347px) 100vw, 347px\" \/><\/p>\n<p>If, for example, the critical angle of a light ray traveling from glass (nglass \u2248 1.5) to air (nair \u00bc 1.0) is calculated, the critical angle will be<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-full wp-image-10263\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-critical-angle.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-critical-angle.png\" alt=\"\" width=\"404\" height=\"83\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27404%27%20height%3D%2783%27%20viewBox%3D%270%200%20404%2083%27%3E%3Crect%20width%3D%27404%27%20height%3D%2783%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-critical-angle-200x41.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-critical-angle-300x62.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-critical-angle-400x82.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-critical-angle.png 404w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 404px) 100vw, 404px\" \/><\/p>\n<\/div><div style=\"text-align:right;\"><a class=\"fusion-button button-flat fusion-button-default-size button-default fusion-button-default button-1 fusion-button-default-span fusion-button-default-type\" target=\"_self\" href=\"https:\/\/www.szlaser.com\/index.php\/wiki\/optical-aberrations\/\"><span class=\"fusion-button-text awb-button__text awb-button__text--default\">What is Optical Aberrations &gt;<\/span><\/a><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":7,"featured_media":0,"parent":8230,"menu_order":86,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-10254","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v18.7 (Yoast SEO v25.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is Geometrical Optics - SZLASER<\/title>\n<meta name=\"description\" content=\"Geometrical optics, or ray optics, describes light behavior in terms of \u201crays,\u201d which is for the behavior of light when it travels in a homogeneous medium.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.szlaser.com\/index.php\/wiki\/geometrical-optics\/\" 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