{"id":1470,"date":"2016-08-25T20:23:22","date_gmt":"2016-08-25T20:23:22","guid":{"rendered":"https:\/\/live-optics-wp.pantheonsite.io\/jcwyant\/?page_id=1470"},"modified":"2016-08-25T20:24:06","modified_gmt":"2016-08-25T20:24:06","slug":"michelson-interferometer-interference-fringes","status":"publish","type":"page","link":"https:\/\/wp.optics.arizona.edu\/jcwyant\/miscellaneous\/neat-graphics\/michelson-interferometer-interference-fringes\/","title":{"rendered":"Michelson Interferometer &#8211; Interference Fringes"},"content":{"rendered":"<p>The intensity of the interference fringes for a Michelson interferometer is given by<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1473\" src=\"http:\/\/wp.optics.arizona.edu\/jcwyant\/wp-content\/uploads\/sites\/13\/2016\/08\/IntensityEqns.gif\" alt=\"IntensityEqns\" width=\"410\" height=\"41\" data-id=\"1473\" \/> where I1 and I2 are the intensities of the two beams, \u03bb is the wavelength, and d is the path length difference between the two interferometer arms. x and y are coordinates in the focal plane of a lens of focal length f.<\/p>\n<p>The fringes for wavelengths \u03bb = 632.8 nm and 420 nm are shown below. Note that as the magnitude of the path difference increases the fringes move outward while as the magnitude of the path difference decreases the fringes move inward.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1475\" src=\"http:\/\/wp.optics.arizona.edu\/jcwyant\/wp-content\/uploads\/sites\/13\/2016\/08\/Michelson.gif\" alt=\"Michelson\" width=\"240\" height=\"240\" data-id=\"1475\" \/><\/p>\n<p>&nbsp;<\/p>\n<h3>Thanks to:<\/h3>\n<p><strong>Jos\u00e9 Antonio D\u00edaz Navas<\/strong><br \/>\nCatedr\u00e1tico de Escuela Universitaria<br \/>\nDepartamento de \u00d3ptica<br \/>\nFacultad de Ciencias<br \/>\nAvda. Severo Ochoa S\/N<br \/>\n18071-Granada Spain<br \/>\nemail: <a href=\"mailto:jadiaz@ugr.es\">jadiaz@ugr.es <\/a><br \/>\nweb: <a href=\"http:\/\/www.ugr.es\/~jadiaz\" target=\"_blank\">www.ugr.es\/~jadiaz<\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/wp.optics.arizona.edu\/jcwyant\/miscellaneous\/neat-graphics\/\">&lt;&lt; Back to Neat Graphics<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The intensity of the interference fringes for a Michelson interferometer is given by where I1 and I2 are the intensities of the two beams, \u03bb is the wavelength, and d is the path length difference between the two interferometer arms. x and y are coordinates in the focal plane of a lens of focal length f. The fringes for wavelengths<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":1283,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1470","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1470","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/comments?post=1470"}],"version-history":[{"count":2,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1470\/revisions"}],"predecessor-version":[{"id":1478,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1470\/revisions\/1478"}],"up":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1283"}],"wp:attachment":[{"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/media?parent=1470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}