{"id":192,"date":"2019-04-29T20:51:15","date_gmt":"2019-04-29T19:51:15","guid":{"rendered":"http:\/\/sites.dundee.ac.uk\/vettenburg\/?p=192"},"modified":"2019-09-04T22:19:08","modified_gmt":"2019-09-04T21:19:08","slug":"finally-a-fast-algorithm-to-calculate-the-light-field","status":"publish","type":"post","link":"https:\/\/sites.dundee.ac.uk\/vettenburg\/finally-a-fast-algorithm-to-calculate-the-light-field\/","title":{"rendered":"Finally a fast algorithm to calculate the light field!"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-130 alignright\" src=\"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-content\/uploads\/sites\/125\/2019\/08\/vateriteCylinder_on_white_inset_Ex-300x200.jpg\" alt=\"complex scattering\" width=\"300\" height=\"200\" \/>Biological samples, often the subject of optical microscopy, tend to be rather heterogeneous. This affects the propagation of the electromagnetic field of light. While the Maxwell&#8217;s laws underlying the propagation of electromagnetic waves in such tissue are well-understood; accurate numerical calculation does not scale well. Even the sub-millimeter-sized sample areas in microscopy pose significant challenges. Recently this changed. Osnabrugge et al. proposed a <a href=\"https:\/\/doi.org\/10.1016\/j.jcp.2016.06.034\">modification to the efficient Born series<\/a> that is guaranteed to converge for Helmholtz problems. We have now extended this to <a href=\"https:\/\/doi.org\/10.1364\/OE.27.011946\">solve Maxwell&#8217;s equations<\/a>. The algorithm works for both isotropic and anisotropic dielectric materials, including those with chiral and magnetic properties. Our paper is available on <a href=\"https:\/\/doi.org\/10.1364\/OE.27.011946\">doi:10.1364\/OE.27.011946<\/a> (open access). The algorithm is made available as a Python library: <code>pip install macromax<\/code>, documentation and the <a href=\"https:\/\/github.com\/tttom\/MacroMax\">MacroMax<\/a> source code with examples can be found on GitHub.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Biological samples, often the subject of optical microscopy, tend to be rather heterogeneous. This affects the propagation of the electromagnetic field of light. While the Maxwell&#8217;s laws underlying the propagation of electromagnetic waves in such tissue are well-understood; accurate numerical calculation does not scale well. Even the sub-millimeter-sized sample areas in microscopy pose significant challenges. [&hellip;]<\/p>\n","protected":false},"author":491,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-192","post","type-post","status-publish","format-standard","hentry","category-outputs"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/posts\/192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/users\/491"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/comments?post=192"}],"version-history":[{"count":6,"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/posts\/192\/revisions"}],"predecessor-version":[{"id":208,"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/posts\/192\/revisions\/208"}],"wp:attachment":[{"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/media?parent=192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/categories?post=192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.dundee.ac.uk\/vettenburg\/wp-json\/wp\/v2\/tags?post=192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}