{"id":142,"date":"2023-12-06T14:22:12","date_gmt":"2023-12-06T14:22:12","guid":{"rendered":"https:\/\/creol.ucf.edu\/ahlr\/?page_id=142"},"modified":"2023-12-06T14:25:13","modified_gmt":"2023-12-06T14:25:13","slug":"laser-modes-in-special-stable-resonators","status":"publish","type":"page","link":"https:\/\/creol.ucf.edu\/ahlr\/research\/laser-modes-in-special-stable-resonators\/","title":{"rendered":"Laser Modes in Special Stable Resonators"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"142\" class=\"elementor elementor-142\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cb70866 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cb70866\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cdb1d1a\" data-id=\"cdb1d1a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3eab6ac elementor-widget elementor-widget-text-editor\" data-id=\"3eab6ac\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p align=\"justify\">In collaboration with Dr. Bandres (CREOL) group<\/p>\n<p align=\"justify\">Stable resonator cavities can support, apart from the fundamental Gaussian beam, three different fundamental families of transverse modes: the Hermite Gaussian modes (HGM) in Cartesian coordinates, Laguerre Gaussian modes (LGM) in cylindrical coordinates, and Ince Gaussian modes (IGM) in elliptical coordinates. These three fundamental families of modes of spherical stable resonators, the HGM, LGM and IGM, are of paramount significance. Besides being the modes of the most elemental laser cavity, they are key in our understanding of more complex cavities, beam propagation, and most importantly, they serve as the foundation of structured light.<\/p>\n<p align=\"justify\">One can generate modes that closely resemble nondiffractive or accelerating beams directly from a spherical stable resonator under the right conditions. Therefore, considering the significance of the fundamental families of modes in spherical laser resonators, an intriguing question arises: is it possible to find a new family of lasing modes?<\/p>\n<p align=\"justify\">We experimentally demonstrate a new family of fundamental laser modes of stable resonators: the Boyer-<span style=\"font-size: 1rem;\">Wolf Gaussian modes. By studying the isomorphism between stable laser resonator cavities and quadratic Hamiltonians, we designed a laser resonator equivalent to a quantum two-dimensional anisotropic harmonic oscillator with a 2:1 frequency ratio. The Boyer-Wolf Gaussian modes emerge in a parabolic coordinate system and are constructed by a product of solutions to the sextic anharmonic oscillator. Due to their inherent parabolic symmetry the Boyer-Wolf Gaussian modes break the symmetry around the <\/span><span style=\"font-size: 1rem; font-family: Calibri, serif;\">y<\/span><span style=\"font-size: 1rem;\">-axis that is present in the HGM, LGM, and IGM, and create a dark parabolic region around the x-axis.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e8b83fb elementor-widget elementor-widget-image\" data-id=\"e8b83fb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/creol.ucf.edu\/ahlr\/wp-content\/uploads\/sites\/58\/elementor\/thumbs\/ivanr6-qo9ix7gu5twyi2qmnwn660p3ui5vu63yscfuknocms.jpg\" title=\"ivanr6\" alt=\"ivanr6\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"In collaboration with Dr. Bandres (CREOL) group Stable resonator cavities can support, apart from the fundamental Gaussian beam, three different fundamental families of transverse modes: the Hermite Gaussian modes (HGM) in Cartesian coordinates, Laguerre Gaussian modes (LGM) in cylindrical coordinates, and Ince Gaussian modes (IGM) in elliptical coordinates. These three fundamental families of modes of&hellip;","protected":false},"author":99,"featured_media":0,"parent":115,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-142","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/creol.ucf.edu\/ahlr\/wp-json\/wp\/v2\/pages\/142","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/creol.ucf.edu\/ahlr\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/creol.ucf.edu\/ahlr\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/creol.ucf.edu\/ahlr\/wp-json\/wp\/v2\/users\/99"}],"replies":[{"embeddable":true,"href":"https:\/\/creol.ucf.edu\/ahlr\/wp-json\/wp\/v2\/comments?post=142"}],"version-history":[{"count":5,"href":"https:\/\/creol.ucf.edu\/ahlr\/wp-json\/wp\/v2\/pages\/142\/revisions"}],"predecessor-version":[{"id":147,"href":"https:\/\/creol.ucf.edu\/ahlr\/wp-json\/wp\/v2\/pages\/142\/revisions\/147"}],"up":[{"embeddable":true,"href":"https:\/\/creol.ucf.edu\/ahlr\/wp-json\/wp\/v2\/pages\/115"}],"wp:attachment":[{"href":"https:\/\/creol.ucf.edu\/ahlr\/wp-json\/wp\/v2\/media?parent=142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}