{"id":6486,"date":"2017-02-01T06:00:27","date_gmt":"2017-02-01T06:00:27","guid":{"rendered":"https:\/\/www.ophiropt.com\/blog\/laser-measurement\/?p=6486"},"modified":"2026-03-15T14:16:54","modified_gmt":"2026-03-15T14:16:54","slug":"calculate-laser-beam-size","status":"publish","type":"post","link":"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/","title":{"rendered":"How to Calculate Laser Beam Size"},"content":{"rendered":"\n<p><\/p>\n\n\n<p>Gaussian laser beams don\u2019t have a simple cut-and-dry beam width.<\/p>\n<p>If you\u2019re not familiar with the math behind a \u201cGaussian\u201d you might wonder, why this would be.\u00a0 Here\u2019s why:<\/p>\n<p><a href=\"\/blog\/wp-content\/uploads\/2017\/01\/2017-2-1-p1-e1485786996966.jpg\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-6487 lazyload\" data-src=\"\/blog\/wp-content\/uploads\/2017\/01\/2017-2-1-p1-e1485786996966.jpg\" alt=\"Beam profile from BeamGage\" height=\"300\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 600px; --smush-placeholder-aspect-ratio: 600\/548;\" \/><\/a><\/p>\n<p>The image above (from <a href=\"https:\/\/www.ophiropt.com\/en\/c\/beamgage-profilers\">BeamGage<\/a>) is a two-dimensional display of power in space.\u00a0 Color is used to represent intensity.<\/p>\n<p>So, where should the line be drawn?\u00a0 What is the beam size?\u00a0 Is it where the blue ends?\u00a0 The purple?<\/p>\n<p>Gaussian beams have a bell-shaped intensity curve. That means that we can\u2019t just say the beam width is measured between the ends of the beam, since a Gaussian beam <em>never ends<\/em>.\u00a0 In reality, at a certain point the hypothetical laser power is so low as to be drowned out by ambient noise.\u00a0 But that doesn\u2019t help answer the question of where to measure beam width.<\/p>\n<p>There are several ways to define <a href=\"https:\/\/www.ophiropt.com\/en\/a\/camera-technologies-part-2\">beam width for Gaussian beams<\/a>, but here are a few:<\/p>\n<p><a href=\"\/blog\/wp-content\/uploads\/2017\/01\/2017-2-1-p2-e1485787035689.jpg\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-6488 lazyload\" data-src=\"\/blog\/wp-content\/uploads\/2017\/01\/2017-2-1-p2-e1485787035689.jpg\" alt=\"Gaussian Beam Diameter (1\/e2, FWHM)\" width=\"601\" height=\"361\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 601px; --smush-placeholder-aspect-ratio: 601\/361;\" \/><\/a><\/p>\n<p><strong>1\/e<sup>2<\/sup><\/strong><\/p>\n<p>This is probably the most commonly used in research circles.\u00a0 By the 1\/e<sup>2<\/sup> method, you measure beam width between the two points where the intensity is 1\/e<sup>2<\/sup> of the peak value.\u00a0 Clear definition, but only about 86% of the laser power is contained within the 1\/e<sup>2<\/sup> width.<\/p>\n<p>(Our new <a href=\"https:\/\/www.ophiropt.com\/en\/laser-power-through-aperture-calculator\">\u201cpower through aperture\u201d calculator<\/a> lets you easily see how much of the laser will pass through a given area.\u00a0 For example, choose a beam width of 8 mm and aperture of 10 mm.\u00a0 Common sense states that 100% should pass through, since 10 &gt; 8.\u00a0 However, don\u2019t forget that only 86% of the beam is contained within the 8 mm beam diameter.\u00a0 So how much of the laser is in 10 mm?\u00a0 Check the <a href=\"https:\/\/www.ophiropt.com\/en\/laser-power-through-aperture-calculator\">calculator<\/a> for the answer.)<\/p>\n<p><strong>FWHM<\/strong><\/p>\n<p>Used most often in industrial contexts, this is the simplest method to understand. \u00a0Full-width, half max.\u00a0 That is to say the diameter measured between the two points at which the intensity is half the peak.\u00a0 (Full width is meant to indicate beam diameter rather than half width, which would be the radius.)<\/p>\n<p><strong>D4\u03c3<\/strong><\/p>\n<p>D4\u03c3 stands for distance between the 4\u03c3 values, i.e., four times the standard deviation.\u00a0 This is the ISO standard method for maximum accuracy.\u00a0 However it can overly weight the wings if not using proper background subtraction, such as UltraCal:<\/p>\n<p style=\"text-align: center;\"><iframe data-src=\"https:\/\/www.youtube.com\/embed\/zaJy8EcJy1U\" width=\"600\" height=\"337\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe><\/p>\n<p><strong>\u2026 And more!<\/strong><\/p>\n<p>I\u2019ve really only scratched the surface here.\u00a0 I didn\u2019t mention knife edge or other methods for measuring beam width.<\/p>\n<p>Greg Slobodzian, Ophir-Spiricon Director of Engineering (retired) discusses some of these beam width calculation methods, as well as how to measure the beam width:<\/p>\n<p><em><a href=\"https:\/\/www.ophiropt.com\/en\/a\/camera-technologies-part-2\">Which Camera Technologies Work Best for Beam Profiling Applications, Part 2: Baseline Methods and Mode Effects<\/a><\/em><\/p>","protected":false},"excerpt":{"rendered":"<p>Gaussian laser beams don\u2019t have a clear\u2011cut width. This article explains how laser beam size is calculated using common definitions such as 1\/e\u00b2, FWHM, and D4\u03c3.<\/p>\n","protected":false},"author":2,"featured_media":36305,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"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":"","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":""},"categories":[3,378,9],"tags":[21],"ophirposttype":[349],"class_list":["post-6486","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-laser-beam-analysis","category-power-through-aperture-calculator","category-videos","tag-cameras","ophirposttype-blogpost-en"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to Calculate Laser Beam Size for Gaussian Beams | Ophir Photonics<\/title>\n<meta name=\"description\" content=\"Learn how to calculate laser beam size for Gaussian beams. Compare 1\/e\u00b2, FWHM, and D4\u03c3 beam width definitions and understand when to use each.\" \/>\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.ophiropt.com\/blog\/calculate-laser-beam-size\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to Calculate Laser Beam Size for Gaussian Beams | Ophir Photonics\" \/>\n<meta property=\"og:description\" content=\"Learn how to calculate laser beam size for Gaussian beams. Compare 1\/e\u00b2, FWHM, and D4\u03c3 beam width definitions and understand when to use each.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/\" \/>\n<meta property=\"og:site_name\" content=\"Ophir Photonics\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/OphirPhotonicsGroup\/\" \/>\n<meta property=\"article:published_time\" content=\"2017-02-01T06:00:27+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-15T14:16:54+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.ophiropt.com\/blog\/wp-content\/uploads\/2017\/02\/ChatGPT-Image-Mar-15-2026-04_11_45-PM-1-scaled.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"800\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"OphirBlog\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"OphirBlog\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/\"},\"author\":{\"name\":\"OphirBlog\",\"@id\":\"https:\/\/www.ophiropt.com\/blog\/#\/schema\/person\/e457d0164061ec9290eb0162b7f0d34e\"},\"headline\":\"How to Calculate Laser Beam Size\",\"datePublished\":\"2017-02-01T06:00:27+00:00\",\"dateModified\":\"2026-03-15T14:16:54+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/\"},\"wordCount\":435,\"commentCount\":6,\"publisher\":{\"@id\":\"https:\/\/www.ophiropt.com\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.ophiropt.com\/blog\/wp-content\/uploads\/2017\/02\/ChatGPT-Image-Mar-15-2026-04_11_45-PM-1-scaled.png\",\"keywords\":[\"Cameras\"],\"articleSection\":[\"Laser Beam Analysis\",\"Power Through Aperture Calculator\",\"Videos\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/\",\"url\":\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/\",\"name\":\"How to Calculate Laser Beam Size for Gaussian Beams | Ophir Photonics\",\"isPartOf\":{\"@id\":\"https:\/\/www.ophiropt.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.ophiropt.com\/blog\/calculate-laser-beam-size\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.ophiropt.com\/blog\/wp-content\/uploads\/2017\/02\/ChatGPT-Image-Mar-15-2026-04_11_45-PM-1-scaled.png\",\"datePublished\":\"2017-02-01T06:00:27+00:00\",\"dateModified\":\"2026-03-15T14:16:54+00:00\",\"description\":\"Learn how to calculate laser beam size for Gaussian beams. 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