{"id":440177,"date":"2017-08-16T02:00:00","date_gmt":"2017-08-15T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=d8306e69458e8cc8244c9011e7b7c5dd"},"modified":"2017-08-16T02:00:00","modified_gmt":"2017-08-15T23:00:00","slug":"chaotic-he-ne-laser","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=440177","title":{"rendered":"Chaotic He-Ne laser"},"content":{"rendered":"<p>A He-Ne laser is an example of a class A laser, which can be described by a single nonlinear<br \/>\ndifferential equation of the complex electric field. This laser system has only one degree of<br \/>\nfreedom and is thus inherently stable. A He-Ne laser can be driven to the chaotic condition when a<br \/>\nlarge fraction of the output beam is injected back to the laser. In practice, this can be done<br \/>\nsimply by adding an external mirror. In this situation, the laser system has infinite degrees of<br \/>\nfreedom and therefore it can have a chaotic attractor. We show the fundamental laser equations and<br \/>\nperform elementary stability analysis. In experiments, the laser intensity variations are measured<br \/>\nby a simple photodiode circuit. The laser output intensity time series is studied using nonlinear<br \/>\nanalysis tools which can be found freely on the internet. The results show that the laser system<br \/>\nwith feedback has an attractor of a reasonably high dimension and that the maximal Lyapunov exponent<br \/>\nis positive, which is&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A He-Ne laser is an example of a class A laser, which can be described by a single nonlinear<br \/>\ndifferential equation of the complex electric field. This laser system has only one degree of<br \/>\nfreedom and is thus inherently stable. A He-Ne laser can be dri&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-440177","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/440177","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=440177"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/440177\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=440177"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=440177"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=440177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}