{"id":112650,"date":"2015-08-11T03:00:00","date_gmt":"2015-08-11T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=5c50bab9a29a1de401cf46e102c022f2"},"modified":"2015-08-11T03:00:00","modified_gmt":"2015-08-11T00:00:00","slug":"laplace-equation-magnetic-recording-and-the-karlqvist-approximation","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=112650","title":{"rendered":"Laplace equation, magnetic recording and the Karlqvist approximation"},"content":{"rendered":"<p>Magnetic recording head theory is based on the Karlqvist approximation to solve the Laplace equation<br \/>\nover a polygonal domain that originates from a magnetostatic approach to describe the magnetic field<br \/>\nproduced by the read\/write head in the recording medium. The approximation is reviewed and compared<br \/>\nto various approaches dealing with solving the Laplace equation using different boundary conditions.<br \/>\nThe solution is obtained by the Green function, Fourier transform, Fourier series and finally by<br \/>\nconformal mapping methods that allow us, on one hand, to comply with the Sommerfeld edge condition<br \/>\nrequired at angular points and on the other, to obtain exact results.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Magnetic recording head theory is based on the Karlqvist approximation to solve the Laplace equation<br \/>\nover a polygonal domain that originates from a magnetostatic approach to describe the magnetic field<br \/>\nproduced by the read\/write head in the recording&#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-112650","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\/112650","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=112650"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/112650\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=112650"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=112650"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=112650"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}