{"id":1481,"date":"2016-08-25T20:38:00","date_gmt":"2016-08-25T20:38:00","guid":{"rendered":"https:\/\/live-optics-wp.pantheonsite.io\/jcwyant\/?page_id=1481"},"modified":"2016-08-25T20:38:00","modified_gmt":"2016-08-25T20:38:00","slug":"michelson-interferometer-broad-source","status":"publish","type":"page","link":"https:\/\/wp.optics.arizona.edu\/jcwyant\/miscellaneous\/neat-graphics\/michelson-interferometer-broad-source\/","title":{"rendered":"Michelson Interferometer &#8211; Broad Source"},"content":{"rendered":"<p>The intensity of the interference fringes for a Michelson interferometer having a source emitting with a Gaussian profile having a bandwidth of \u0394\u03bd is given by<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1472\" src=\"http:\/\/wp.optics.arizona.edu\/jcwyant\/wp-content\/uploads\/sites\/13\/2016\/08\/CoherenceEqns.gif\" alt=\"CoherenceEqns\" width=\"557\" height=\"62\" data-id=\"1472\" \/>where I<sub>1<\/sub> and I<sub>2<\/sub> are the intensities of the two beams, \u03bb is the wavelength, c is the speed of light, 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 as a function of path difference are shown below. Note that the path difference is larger at the center of the fringe pattern than at the edge so the contrast of the center fringes wash out first as the path length difference between the two interferometer arms increases.<\/p>\n<h3><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1474\" src=\"http:\/\/wp.optics.arizona.edu\/jcwyant\/wp-content\/uploads\/sites\/13\/2016\/08\/coherence.gif\" alt=\"coherence\" width=\"240\" height=\"114\" data-id=\"1474\" \/><\/h3>\n<h3><\/h3>\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><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 having a source emitting with a Gaussian profile having a bandwidth of \u0394\u03bd is given by where I1 and I2 are the intensities of the two beams, \u03bb is the wavelength, c is the speed of light, and d is the path length difference between the two interferometer arms. x<\/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-1481","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1481","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=1481"}],"version-history":[{"count":1,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1481\/revisions"}],"predecessor-version":[{"id":1482,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1481\/revisions\/1482"}],"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=1481"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}