{"id":269,"date":"2023-04-16T05:56:45","date_gmt":"2023-04-16T05:56:45","guid":{"rendered":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/?post_type=chapter&#038;p=269"},"modified":"2023-05-23T02:31:10","modified_gmt":"2023-05-23T02:31:10","slug":"unit-2-applications-of-different-interferometer-types","status":"publish","type":"chapter","link":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/chapter\/unit-2-applications-of-different-interferometer-types\/","title":{"rendered":"Unit 2: Applications of different Interferometer Types"},"content":{"raw":"<h1>2.1 How an Interferometer works<\/h1>\r\nVery small changes in length can be measured with a Michelson interferometer. For this purpose, a coherent light beam is split into two partial beams at a beam splitter. The two partial beams run on perpendicular paths to one mirror each. There they are reflected and directed via the beam splitter onto a screen. There, the two partial beams interfere with each other and create an interference pattern.\r\n<h2>Task 2.1<\/h2>\r\nMatch the technical terms to the components of the Michelson interferometer in the diagram.\r\n<div class=\"postbox h5p-sidebar\">\r\n<div class=\"h5p-action-bar-settings h5p-panel\"><code>[h5p id=\"23\"]<\/code><\/div>\r\n<div>\r\n\r\n<em><strong>Figure 1:<\/strong> \u00a0Basic design of a Michelson interferometer<\/em>\r\n\r\n<\/div>\r\n<\/div>\r\n<h2>Task 2.2<\/h2>\r\n<span style=\"background-color: transparent;color: #222222;font-family: monospace;font-size: 1em\">[h5p id=\"24\"]<\/span>\r\n<h2>Task 2.3<\/h2>\r\nUse the following worksheet to familiarize yourself with how a Michelson interferometer works.\r\n\r\n<a href=\"https:\/\/www.geogebra.org\/m\/xnthawdb\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-274 size-medium\" src=\"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-content\/uploads\/sites\/3\/2023\/04\/luh15-300x185.jpg\" alt=\"\" width=\"300\" height=\"185\" \/><\/a>\r\n<h1>2.2: Determining the wavelength of the laser<\/h1>\r\nIn figure 1, mirror 1 is initially in position 1. Constructive interference occurs on the screen. Now mirror M1 is slowly moved to position 2. Constructive interference occurs again at n mirror positions on the screen, including position 2. The following relationship applies to the displacement of the mirror and the wavelength of the laser:\r\n<p style=\"text-align: center\">[latex]\\Delta\\text{x}=n\\cdot \\frac{\\lambda}{2}[\/latex]<\/p>\r\n\r\n<h2>Task 2.4<\/h2>\r\n<div class=\"postbox h5p-sidebar\">\r\n<div class=\"h5p-action-bar-settings h5p-panel\"><code>[h5p id=\"25\"]<\/code><\/div>\r\n<\/div>\r\n<h2><strong>Task 2.5<\/strong><\/h2>\r\nUse the following interactive screen experiment to determine the wavelength of the laser used there.\r\n\r\n<a href=\"https:\/\/tetfolio.fu-berlin.de\/tet\/1734912\" target=\"_blank\" rel=\"noopener\">Interactice Screen Experiment<\/a>\r\n\r\nProceed as follows for this purpose:\r\n<ol>\r\n \t<li>Click on \u201cVersuch 1\".<\/li>\r\n \t<li>Switch on the laser.<\/li>\r\n \t<li>The green interference pattern shows a black dot in the middle.<\/li>\r\n \t<li>Click on the magnifying glass. The micrometer screw becomes visible.<\/li>\r\n \t<li>Click on the arrows to adjust the micrometer screw.<\/li>\r\n \t<li>Turn the micrometer screw until <em>n <\/em>= 20 more black dots have appeared on the interference pattern.<\/li>\r\n \t<li>Read off the micrometer scale (measured in 10-6 m) the distance by which the mirror has been moved (<em>\u0394x<\/em>).<\/li>\r\n<\/ol>\r\nDetermine the wavelength of the laser light using the following formula:\r\n\r\n[latex]\\Delta\\text{x}=n\\cdot \\frac{\\lambda}{2}[\/latex]\r\n<h2>Task\u00a02.6<\/h2>\r\nNow you know how a Michelson interferometer works. To secure this knowledge, now watch the following silent video <span style=\"text-align: initial;font-size: 1em\">and describe the physical processes in your own words. <\/span>The source used here is not laser light, but ultrasound waves.\r\n\r\nSilent Video:\r\n\r\n[embed]https:\/\/youtu.be\/pFWBfaM1OPU[\/embed]\r\n<h2><\/h2>","rendered":"<h1>2.1 How an Interferometer works<\/h1>\n<p>Very small changes in length can be measured with a Michelson interferometer. For this purpose, a coherent light beam is split into two partial beams at a beam splitter. The two partial beams run on perpendicular paths to one mirror each. There they are reflected and directed via the beam splitter onto a screen. There, the two partial beams interfere with each other and create an interference pattern.<\/p>\n<h2>Task 2.1<\/h2>\n<p>Match the technical terms to the components of the Michelson interferometer in the diagram.<\/p>\n<div class=\"postbox h5p-sidebar\">\n<div class=\"h5p-action-bar-settings h5p-panel\"><code><\/p>\n<div id=\"h5p-23\">\n<div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-23\" class=\"h5p-iframe\" data-content-id=\"23\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"Match the technical terms to the components of the Michelson interferometer in the diagram\"><\/iframe><\/div>\n<\/div>\n<p><\/code><\/div>\n<div>\n<p><em><strong>Figure 1:<\/strong> \u00a0Basic design of a Michelson interferometer<\/em><\/p>\n<\/div>\n<\/div>\n<h2>Task 2.2<\/h2>\n<p><span style=\"background-color: transparent;color: #222222;font-family: monospace;font-size: 1em\"><\/p>\n<div id=\"h5p-24\">\n<div class=\"h5p-content\" data-content-id=\"24\"><\/div>\n<\/div>\n<p><\/span><\/p>\n<h2>Task 2.3<\/h2>\n<p>Use the following worksheet to familiarize yourself with how a Michelson interferometer works.<\/p>\n<div class=\"wp-nocaption alignnone wp-image-274 size-medium\"><a href=\"https:\/\/www.geogebra.org\/m\/xnthawdb\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-274 size-medium\" src=\"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-content\/uploads\/sites\/3\/2023\/04\/luh15-300x185.jpg\" alt=\"\" width=\"300\" height=\"185\" srcset=\"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-content\/uploads\/sites\/3\/2023\/04\/luh15-300x185.jpg 300w, https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-content\/uploads\/sites\/3\/2023\/04\/luh15-768x473.jpg 768w, https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-content\/uploads\/sites\/3\/2023\/04\/luh15-65x40.jpg 65w, https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-content\/uploads\/sites\/3\/2023\/04\/luh15-225x138.jpg 225w, https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-content\/uploads\/sites\/3\/2023\/04\/luh15-350x215.jpg 350w, https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-content\/uploads\/sites\/3\/2023\/04\/luh15.jpg 928w\" \/><\/a><\/div>\n<h1>2.2: Determining the wavelength of the laser<\/h1>\n<p>In figure 1, mirror 1 is initially in position 1. Constructive interference occurs on the screen. Now mirror M1 is slowly moved to position 2. Constructive interference occurs again at n mirror positions on the screen, including position 2. The following relationship applies to the displacement of the mirror and the wavelength of the laser:<\/p>\n<p style=\"text-align: center\">[latex]\\Delta\\text{x}=n\\cdot \\frac{\\lambda}{2}[\/latex]<\/p>\n<h2>Task 2.4<\/h2>\n<div class=\"postbox h5p-sidebar\">\n<div class=\"h5p-action-bar-settings h5p-panel\"><code><\/p>\n<div id=\"h5p-25\">\n<div class=\"h5p-content\" data-content-id=\"25\"><\/div>\n<\/div>\n<p><\/code><\/div>\n<\/div>\n<h2><strong>Task 2.5<\/strong><\/h2>\n<p>Use the following interactive screen experiment to determine the wavelength of the laser used there.<\/p>\n<p><a href=\"https:\/\/tetfolio.fu-berlin.de\/tet\/1734912\" target=\"_blank\" rel=\"noopener\">Interactice Screen Experiment<\/a><\/p>\n<p>Proceed as follows for this purpose:<\/p>\n<ol>\n<li>Click on \u201cVersuch 1&#8243;.<\/li>\n<li>Switch on the laser.<\/li>\n<li>The green interference pattern shows a black dot in the middle.<\/li>\n<li>Click on the magnifying glass. The micrometer screw becomes visible.<\/li>\n<li>Click on the arrows to adjust the micrometer screw.<\/li>\n<li>Turn the micrometer screw until <em>n <\/em>= 20 more black dots have appeared on the interference pattern.<\/li>\n<li>Read off the micrometer scale (measured in 10-6 m) the distance by which the mirror has been moved (<em>\u0394x<\/em>).<\/li>\n<\/ol>\n<p>Determine the wavelength of the laser light using the following formula:<\/p>\n<p>[latex]\\Delta\\text{x}=n\\cdot \\frac{\\lambda}{2}[\/latex]<\/p>\n<h2>Task\u00a02.6<\/h2>\n<p>Now you know how a Michelson interferometer works. To secure this knowledge, now watch the following silent video <span style=\"text-align: initial;font-size: 1em\">and describe the physical processes in your own words. <\/span>The source used here is not laser light, but ultrasound waves.<\/p>\n<p>Silent Video:<\/p>\n<p><iframe id=\"oembed-1\" title=\"STEM Digitalis Silents Video Interferometer LUH\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/pFWBfaM1OPU?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h2><\/h2>\n","protected":false},"author":3,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[50],"contributor":[],"license":[],"part":75,"_links":{"self":[{"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/pressbooks\/v2\/chapters\/269"}],"collection":[{"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":11,"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/pressbooks\/v2\/chapters\/269\/revisions"}],"predecessor-version":[{"id":312,"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/pressbooks\/v2\/chapters\/269\/revisions\/312"}],"part":[{"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/pressbooks\/v2\/parts\/75"}],"metadata":[{"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/pressbooks\/v2\/chapters\/269\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/wp\/v2\/media?parent=269"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/pressbooks\/v2\/chapter-type?post=269"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/wp\/v2\/contributor?post=269"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/web.htk.tlu.ee\/stem\/stem2\/wp-json\/wp\/v2\/license?post=269"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}