{"id":10104,"date":"2022-09-10T02:07:35","date_gmt":"2022-09-10T02:07:35","guid":{"rendered":"https:\/\/www.szlaser.com\/?page_id=10104"},"modified":"2022-09-10T02:19:51","modified_gmt":"2022-09-10T02:19:51","slug":"linewidth-of-a-laser","status":"publish","type":"page","link":"https:\/\/www.szlaser.com\/index.php\/wiki\/linewidth-of-a-laser\/","title":{"rendered":"How to measure the Linewidth of a Laser"},"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>How to measure the Linewidth of a Laser?<\/h1><\/h1><\/div><div class=\"fusion-text fusion-text-1\"><p>Calculating the linewidth of a laser is one thing, but how is it measured in the laboratory?<\/p>\n<p>The linewidth can be measured in a couple of ways:<br \/>\n(1) a device called a monochromator can be used and<br \/>\n(2) a device called a Fabry\u2013Perot etalon can be used.<br \/>\nA monochromator implements optically dispersive components such as prisms and gratings to spread a beam out into its multiwavelength components much in the same way a prism separates the colors of sunlight into the rainbow spectrum. Figure below shows how a monochromator works. In order to measure the linewidth of a laser beam the prism is rotated in one direction until no signal is detected and then measurements are made as the prism is rotated through the peak of the signal and then to the other side where it is zero. The monochromator must be calibrated with a known spectral source in order for the measurements to be in real (not relative) units.<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-fusion-800 wp-image-10106\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works-800x436.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works-800x436.png\" alt=\"\" width=\"800\" height=\"436\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27800%27%20height%3D%27436%27%20viewBox%3D%270%200%20800%20436%27%3E%3Crect%20width%3D%27800%27%20height%3D%27436%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works-200x109.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works-300x163.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works-400x218.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works-500x272.png 500w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works-600x327.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works-768x418.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works-800x436.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/monochromator-works.png 874w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-fusion-800 wp-image-10107\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon-800x413.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon-800x413.png\" alt=\"\" width=\"800\" height=\"413\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27800%27%20height%3D%27413%27%20viewBox%3D%270%200%20800%20413%27%3E%3Crect%20width%3D%27800%27%20height%3D%27413%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon-200x103.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon-300x155.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon-400x206.png 400w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon-500x258.png 500w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon-600x310.png 600w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon-768x396.png 768w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon-800x413.png 800w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/Fabry\u2013Perot-etalon.png 814w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Above Figure shows a Fabry\u2013Perot etalon. Etalon is the French word for \u201cmeasuring gauge\u201d or \u201cstandard.\u201d The device was developed by Charles Fabry and Alfred Perot in 1899. It consists of a wedge-shaped or non-parallel surface optically transmissive material (like glass) with highly reflective coatings or mirrors in intimate contact with each surface. The mirrors are designed to be parallel with each other. As light passes into one side of the etalon some of it is reflected back and forth with each pass. The exiting light, therefore, is slightly phase delayed with each other\u2019s pass and the different phase-delayed light beams interfere with each other generating a pattern of concentric rings as shown in below Figure.<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-full wp-image-10108\" src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/pattern-of-concentric-rings.png\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/pattern-of-concentric-rings.png\" alt=\"\" width=\"356\" height=\"325\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27356%27%20height%3D%27325%27%20viewBox%3D%270%200%20356%20325%27%3E%3Crect%20width%3D%27356%27%20height%3D%27325%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/pattern-of-concentric-rings-200x183.png 200w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/pattern-of-concentric-rings-300x274.png 300w, https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/pattern-of-concentric-rings.png 356w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 356px) 100vw, 356px\" \/><\/p>\n<p>The distance between two adjacent rings is known as the free spectral range (FSR) of the etalon. The width of each ring is the linewidth of the light entering the etalon. The linewidth of the input light is calculated as<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-full wp-image-10110\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27168%27%20height%3D%2770%27%20viewBox%3D%270%200%20168%2070%27%3E%3Crect%20width%3D%27168%27%20height%3D%2770%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/equation-of-linewidth.png\" alt=\"\" width=\"168\" height=\"70\" \/><\/p>\n<p>where F is the finesse of the etalon and is approximated as<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-full wp-image-10111\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27198%27%20height%3D%2786%27%20viewBox%3D%270%200%20198%2086%27%3E%3Crect%20width%3D%27198%27%20height%3D%2786%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/F-the-finesse-of-the-etalon.png\" alt=\"\" width=\"198\" height=\"86\" \/><\/p>\n<p>and R is the reflectance of each mirror (assuming they are equal). Note that Equation below will often be rewritten as frequency units<\/p>\n<p><img decoding=\"async\" class=\"lazyload aligncenter size-full wp-image-10112\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27171%27%20height%3D%2765%27%20viewBox%3D%270%200%20171%2065%27%3E%3Crect%20width%3D%27171%27%20height%3D%2765%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/www.szlaser.com\/wp-content\/uploads\/2022\/09\/frequency-units.png\" alt=\"\" width=\"171\" height=\"65\" \/><\/p>\n<p>and R is the reflectance of each mirror (assuming they are equal). Note that Equation below will often be rewritten as frequency unitsThe FSR will be given in either units of length or frequency (such as nm or MHz).<\/p>\n<p>In order to use the etalon to make measurements of linewidth we must know information about the specific device being used in order to calibrate it. Typically, the manufacturer or vendor will sell an etalon with a specified calibrated FSR and finesse. The laser scientist or engineer then must use those numbers in comparison with measured numbers to make actual physically calibrated linewidth measurements.<\/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\/tunability-of-a-laser\/\"><span class=\"fusion-button-text awb-button__text awb-button__text--default\">What is Tunability of a Laser &gt;<\/span><\/a><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":7,"featured_media":0,"parent":8230,"menu_order":71,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-10104","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) - 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