{"id":5,"date":"2017-12-06T14:11:58","date_gmt":"2017-12-06T14:11:58","guid":{"rendered":"http:\/\/sites.rutgers.edu\/professor-example\/?page_id=5"},"modified":"2021-05-27T20:22:53","modified_gmt":"2021-05-27T20:22:53","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<h5><strong>Note:\u00a0<\/strong>This page represents my research interests and publications as of May 2021 when I departed my position as a Hill Assistant Professor at Rutgers University, New Brunswick.<\/h5>\n<h2>Interests<\/h2>\n<p>Inverse problems, analysis of PDEs, non-selfadjoint eigenvalue problems, asymptotic analysis<\/p>\n<div><a style=\"vertical-align: top\" href=\"https:\/\/orcid.org\/0000-0001-6279-801X\" target=\"orcid.widget\" rel=\"noopener noreferrer\"><img decoding=\"async\" style=\"width: 1em;margin-right: .5em\" src=\"https:\/\/orcid.org\/sites\/default\/files\/images\/orcid_16x16.png\" alt=\"ORCID iD icon\" \/>https:\/\/orcid.org\/0000-0001-6279-801X<\/a><\/div>\n<p>&nbsp;<\/p>\n<h2>Papers<\/h2>\n<ul>\n<li><strong>In preparation or under review<\/strong>\n<ul>\n<li>S. Cogar, Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media, submitted. (<a href=\"https:\/\/arxiv.org\/abs\/2104.01887v1\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv<\/a>)<\/li>\n<\/ul>\n<\/li>\n<li><strong>Published in peer-reviewed journals<\/strong>\n<ul>\n<li>F. Cakoni, S. Cogar, and P. Monk, A spectral approach to nondestructive testing via electromagnetic waves, <em>IEEE <\/em><em>Transactions on Antennas &amp; Propagation, <\/em>accepted.<\/li>\n<li>S. Cogar, <a href=\"http:\/\/sites.rutgers.edu\/samuel-cogar\/wp-content\/uploads\/sites\/253\/2020\/06\/EM-delta-Stekloff-eigenvalues.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification<\/a>, <em>Inverse Problems and Imaging<\/em> <strong>15 <\/strong>(2021) 723-744. (<em><a href=\"https:\/\/www.aimsciences.org\/article\/doi\/10.3934\/ipi.2021011\" target=\"_blank\" rel=\"noopener\">Inverse Problems and Imaging<\/a><\/em>) (<a href=\"https:\/\/arxiv.org\/abs\/2006.16428\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv<\/a>)<\/li>\n<li>S. Cogar and P. Monk, <a href=\"http:\/\/sites.rutgers.edu\/samuel-cogar\/wp-content\/uploads\/sites\/253\/2020\/10\/Modified-electromagnetic-transmission-eigenvalues_Cogar_Monk.pdf\">Modified electromagnetic transmission eigenvalues in inverse scattering theory<\/a>, <em>SIAM Journal on Mathematical Analysis <\/em><strong>52<\/strong> (2020) 6412-6441. (<em><a href=\"https:\/\/epubs.siam.org\/doi\/10.1137\/20M134006X\" target=\"_blank\" rel=\"noopener noreferrer\">SIAM Journal on Mathematical Analysis<\/a>)<\/em> (<a href=\"https:\/\/arxiv.org\/abs\/2005.14277\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv<\/a>)<\/li>\n<li>S. Cogar, <a href=\"http:\/\/sites.rutgers.edu\/samuel-cogar\/wp-content\/uploads\/sites\/253\/2020\/03\/Analysis-of-a-trace-class-Stekloff-eigenvalue-problem-arising-in-inverse-scattering-theory-1.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Analysis of a trace class Stekloff eigenvalue problem arising in inverse scattering<\/a>, <em>SIAM Journal on Applied Mathematics <\/em><strong>80<\/strong> (2020) 881-905. (<a href=\"https:\/\/epubs.siam.org\/doi\/abs\/10.1137\/19M1295155\" target=\"_blank\" rel=\"noopener noreferrer\"><em>SIAM Journal on Applied Mathematics<\/em><\/a>)<\/li>\n<li>S. Cogar,\u00a0<a href=\"https:\/\/sites.udel.edu\/cogar\/files\/2015\/08\/A-modified-transmission-eigenvalue-problem-for-scattering-by-a-partially-coated-crack-1q0dshp.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">A modified transmission eigenvalue problem for scattering by a partially coated crack<\/a>,\u00a0<em>Inverse Problems\u00a0<\/em><strong>34<\/strong>\u00a0(2018) 115003. (<em><a href=\"https:\/\/doi.org\/10.1088\/1361-6420\/aadb20\" target=\"_blank\" rel=\"noopener noreferrer\">Inverse Problems<\/a><\/em>)<\/li>\n<li>S. Cogar, D. Colton, and P. Monk,\u00a0<a href=\"https:\/\/sites.udel.edu\/cogar\/files\/2015\/08\/Using-eigenvalues-to-detect-anomalies-in-the-exterior-of-a-cavity-1q34uys.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Using eigenvalues to detect anomalies in the exterior of a cavity<\/a>,\u00a0<em>Inverse Problems\u00a0<\/em><strong>34<\/strong><em>\u00a0<\/em>(2018) 085006. (<em><a href=\"https:\/\/doi.org\/10.1088\/1361-6420\/aac8ef\" target=\"_blank\" rel=\"noopener noreferrer\">Inverse Problems<\/a><\/em>)<\/li>\n<li>S. Cogar, D. Colton, S. Meng, and P. Monk,\u00a0<a href=\"https:\/\/sites.udel.edu\/cogar\/files\/2015\/08\/Modified_Transmission_Eigenvalues_in_Inverse_Scattering_Theory-1njvhta.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Modified transmission eigenvalues in inverse scattering theory<\/a>,\u00a0<em>Inverse Problems\u00a0<\/em><strong>33<\/strong> (2017) 125002. (<em><a href=\"https:\/\/doi.org\/10.1088\/1361-6420\/aa9418\" target=\"_blank\" rel=\"noopener noreferrer\">Inverse Problems<\/a><\/em>)<\/li>\n<li>S. Cogar, D. Colton, and Y.J. Leung,\u00a0<a href=\"https:\/\/sites.udel.edu\/cogar\/files\/2015\/08\/The-Inverse-Spectral-Problem-for-Transmission-Eigenvalues-se4zbq.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">The inverse spectral problem for transmission eigenvalues<\/a>,\u00a0<em>Inverse Problems\u00a0<\/em><strong>33<\/strong> (2017) 055015. (<em><a href=\"https:\/\/doi.org\/10.1088\/1361-6420\/aa66d2\" target=\"_blank\" rel=\"noopener noreferrer\">Inverse Problems<\/a><\/em>)<\/li>\n<li>S. Sarra and S. Cogar, An examination of evaluation algorithms for the RBF method,\u00a0<em>Engineering Analysis with Boundary Elements\u00a0<\/em><strong>75<\/strong> (2017) 36-45. (<a href=\"https:\/\/doi.org\/10.1016\/j.enganabound.2016.11.006\" target=\"_blank\" rel=\"noopener noreferrer\"><em>Engineering Analysis with Boundary Elements<\/em><\/a>)<\/li>\n<\/ul>\n<\/li>\n<li><strong>Book chapters<\/strong>\n<ul>\n<li>S. Cogar, D. Colton, and P. Monk,\u00a0<a href=\"https:\/\/sites.udel.edu\/cogar\/files\/2015\/08\/Eigenvalue-problems-in-inverse-electromagnetic-scattering-theory-1hlf71m.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Eigenvalue problems in inverse electromagnetic scattering theory<\/a>, chapter 5,\u00a0<a href=\"https:\/\/www.amazon.com\/Maxwell%C2%92s-Equations-Analysis-Computational-Mathematics\/dp\/3110542641\/ref=sr_1_10?keywords=maxwell%27s+equations+analysis+and+numerical&amp;qid=1565786591&amp;s=gateway&amp;sr=8-10\" target=\"_blank\" rel=\"noopener noreferrer\"><em>Maxwell\u2019s Equations: Analysis and Numerics<\/em><\/a>, de Gruyter (July 2019). (<a href=\"http:\/\/arxiv.org\/abs\/1805.06986\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv<\/a>)<\/li>\n<\/ul>\n<\/li>\n<li><strong>Thesis<\/strong>\n<ul>\n<li>S. Cogar, <em>New Eigenvalue Problems in Inverse Scattering\u00a0<\/em>(Doctoral Dissertation), University of Delaware (2019). (<a href=\"https:\/\/search.proquest.com\/openview\/4033d6133c3a820d7d67642985d5e652\/1?pq-origsite=gscholar&amp;cbl=18750&amp;diss=y\" target=\"_blank\" rel=\"noopener noreferrer\">ProQuest<\/a>)<\/li>\n<\/ul>\n<\/li>\n<li><strong>Conference proceedings<\/strong>\n<ul>\n<li>S. Cogar and P. Monk, <a href=\"http:\/\/sites.rutgers.edu\/samuel-cogar\/wp-content\/uploads\/sites\/253\/2020\/03\/PID6405121.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">A new modified transmission eigenvalue problem for electromagnetic scattering<\/a>, accepted, <a href=\"https:\/\/ieee-rapid.org\/\" target=\"_blank\" rel=\"noopener noreferrer\">IEEE RAPID Conference<\/a>, Miramar Beach, FL, August 2020 (conference held virtually due to COVID-19).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Note:\u00a0This page represents my research interests and publications as of May 2021 when I departed my position as a Hill Assistant Professor at Rutgers University, New Brunswick. Interests Inverse problems, &hellip; <a href=\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/\" class=\"\">Read More<\/a><\/p>\n","protected":false},"author":11,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-custom.php","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-5","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Research - Samuel Cogar<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Research - Samuel Cogar\" \/>\n<meta property=\"og:description\" content=\"Note:\u00a0This page represents my research interests and publications as of May 2021 when I departed my position as a Hill Assistant Professor at Rutgers University, New Brunswick. Interests Inverse problems, &hellip; Read More\" \/>\n<meta property=\"og:url\" content=\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/\" \/>\n<meta property=\"og:site_name\" content=\"Samuel Cogar\" \/>\n<meta property=\"article:modified_time\" content=\"2021-05-27T20:22:53+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/orcid.org\/sites\/default\/files\/images\/orcid_16x16.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/\",\"url\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/\",\"name\":\"Research - Samuel Cogar\",\"isPartOf\":{\"@id\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/orcid.org\/sites\/default\/files\/images\/orcid_16x16.png\",\"datePublished\":\"2017-12-06T14:11:58+00:00\",\"dateModified\":\"2021-05-27T20:22:53+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#primaryimage\",\"url\":\"https:\/\/orcid.org\/sites\/default\/files\/images\/orcid_16x16.png\",\"contentUrl\":\"https:\/\/orcid.org\/sites\/default\/files\/images\/orcid_16x16.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Research\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/#website\",\"url\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/\",\"name\":\"Samuel Cogar\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/sites.rutgers.edu\/samuel-cogar\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Research - Samuel Cogar","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/","og_locale":"en_US","og_type":"article","og_title":"Research - Samuel Cogar","og_description":"Note:\u00a0This page represents my research interests and publications as of May 2021 when I departed my position as a Hill Assistant Professor at Rutgers University, New Brunswick. Interests Inverse problems, &hellip; Read More","og_url":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/","og_site_name":"Samuel Cogar","article_modified_time":"2021-05-27T20:22:53+00:00","og_image":[{"url":"https:\/\/orcid.org\/sites\/default\/files\/images\/orcid_16x16.png"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/","url":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/","name":"Research - Samuel Cogar","isPartOf":{"@id":"https:\/\/sites.rutgers.edu\/samuel-cogar\/#website"},"primaryImageOfPage":{"@id":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#primaryimage"},"image":{"@id":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#primaryimage"},"thumbnailUrl":"https:\/\/orcid.org\/sites\/default\/files\/images\/orcid_16x16.png","datePublished":"2017-12-06T14:11:58+00:00","dateModified":"2021-05-27T20:22:53+00:00","breadcrumb":{"@id":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#primaryimage","url":"https:\/\/orcid.org\/sites\/default\/files\/images\/orcid_16x16.png","contentUrl":"https:\/\/orcid.org\/sites\/default\/files\/images\/orcid_16x16.png"},{"@type":"BreadcrumbList","@id":"https:\/\/sites.rutgers.edu\/samuel-cogar\/research\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/sites.rutgers.edu\/samuel-cogar\/"},{"@type":"ListItem","position":2,"name":"Research"}]},{"@type":"WebSite","@id":"https:\/\/sites.rutgers.edu\/samuel-cogar\/#website","url":"https:\/\/sites.rutgers.edu\/samuel-cogar\/","name":"Samuel Cogar","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/sites.rutgers.edu\/samuel-cogar\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/sites.rutgers.edu\/samuel-cogar\/wp-json\/wp\/v2\/pages\/5"}],"collection":[{"href":"https:\/\/sites.rutgers.edu\/samuel-cogar\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.rutgers.edu\/samuel-cogar\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.rutgers.edu\/samuel-cogar\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.rutgers.edu\/samuel-cogar\/wp-json\/wp\/v2\/comments?post=5"}],"version-history":[{"count":50,"href":"https:\/\/sites.rutgers.edu\/samuel-cogar\/wp-json\/wp\/v2\/pages\/5\/revisions"}],"predecessor-version":[{"id":497,"href":"https:\/\/sites.rutgers.edu\/samuel-cogar\/wp-json\/wp\/v2\/pages\/5\/revisions\/497"}],"wp:attachment":[{"href":"https:\/\/sites.rutgers.edu\/samuel-cogar\/wp-json\/wp\/v2\/media?parent=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}