{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T08:01:06Z","timestamp":1780992066045,"version":"3.54.1"},"reference-count":22,"publisher":"Optica Publishing Group","issue":"18","license":[{"start":{"date-parts":[[2020,9,14]],"date-time":"2020-09-14T00:00:00Z","timestamp":1600041600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v1#VOR-OA"},{"start":{"date-parts":[[2020,9,14]],"date-time":"2020-09-14T00:00:00Z","timestamp":1600041600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/opg.optica.org\/policies\/opg-tdm-policy.json"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EXC-2123 QuantumFrontiers - 390837967"],"award-info":[{"award-number":["EXC-2123 QuantumFrontiers - 390837967"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["Opt. Lett."],"published-print":{"date-parts":[[2020,9,15]]},"abstract":"For future generations of gravitational wave detectors, it is proposed to use the helical Laguerre\u2013Gaussian \n \n\t\n\t \n\t \n\t \n\t\tL<\/mml:mi>\n\t\tG<\/mml:mi>\n\t <\/mml:mrow>\n\t <\/mml:mrow>\n\t \n\t 3<\/mml:mn>\n\t ,<\/mml:mo>\n\t 3<\/mml:mn>\n\t <\/mml:mrow>\n\t <\/mml:msub>\n\t<\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula> mode to reduce thermal noise, which limits the detector sensitivity. At the same time, this requires the efficient generation of squeezed vacuum states in the \n \n\t\n\t \n\t \n\t \n\t\tL<\/mml:mi>\n\t\tG<\/mml:mi>\n\t <\/mml:mrow>\n\t <\/mml:mrow>\n\t \n\t 3<\/mml:mn>\n\t ,<\/mml:mo>\n\t 3<\/mml:mn>\n\t <\/mml:mrow>\n\t <\/mml:msub>\n\t<\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula> mode for quantum noise reduction. Since this technique includes the process of second harmonic generation (SHG), we experimentally compare the conversion efficiency and harmonic output field of the \n \n\t\n\t \n\t \n\t \n\t\tL<\/mml:mi>\n\t\tG<\/mml:mi>\n\t <\/mml:mrow>\n\t <\/mml:mrow>\n\t \n\t 0<\/mml:mn>\n\t ,<\/mml:mo>\n\t 0<\/mml:mn>\n\t <\/mml:mrow>\n\t <\/mml:msub>\n\t<\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula> and \n \n\t\n\t \n\t \n\t \n\t\tL<\/mml:mi>\n\t\tG<\/mml:mi>\n\t <\/mml:mrow>\n\t <\/mml:mrow>\n\t \n\t 3<\/mml:mn>\n\t ,<\/mml:mo>\n\t 3<\/mml:mn>\n\t <\/mml:mrow>\n\t <\/mml:msub>\n\t<\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula> modes in a cavity-enhanced SHG using the same 7% doped \n \n\t\n\t \n\t M<\/mml:mi>\n\t g<\/mml:mi>\n\t O<\/mml:mi>\n\t <\/mml:mrow>\n\t<\/mml:mrow>\n\t\n\t:<\/mml:mo>\n\t\n\t\n\t \n\t \n\t \n\t\tL<\/mml:mi>\n\t\ti<\/mml:mi>\n\t\tN<\/mml:mi>\n\t\tb<\/mml:mi>\n\t\tO<\/mml:mi>\n\t <\/mml:mrow>\n\t <\/mml:mrow>\n\t 3<\/mml:mn>\n\t <\/mml:msub>\n\t<\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula> crystal. Conversion efficiencies of 96% and 45% are achieved, respectively. The influence of mode mismatches and astigmatism is analyzed to estimate the ratio of the pump mode-dependent effective nonlinearities to be \n \n\t\n\t \n\t d<\/mml:mi>\n\t \n\t 0<\/mml:mn>\n\t ,<\/mml:mo>\n\t 0<\/mml:mn>\n\t <\/mml:mrow>\n\t <\/mml:msub>\n\t<\/mml:mrow>\n\t\n\t \/<\/mml:mo>\n\t<\/mml:mrow>\n\t\n\t \n\t d<\/mml:mi>\n\t \n\t 3<\/mml:mn>\n\t ,<\/mml:mo>\n\t 3<\/mml:mn>\n\t <\/mml:mrow>\n\t <\/mml:msub>\n\t<\/mml:mrow>\n\t\u223c<\/mml:mo>\n\t5<\/mml:mn>\n <\/mml:math>\n <\/jats:inline-formula>. Furthermore, we show that absorption loss in the crystal is more relevant for the \n \n\t\n\t \n\t \n\t \n\t\tL<\/mml:mi>\n\t\tG<\/mml:mi>\n\t <\/mml:mrow>\n\t <\/mml:mrow>\n\t \n\t 3<\/mml:mn>\n\t ,<\/mml:mo>\n\t 3<\/mml:mn>\n\t <\/mml:mrow>\n\t <\/mml:msub>\n\t<\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula> mode.<\/jats:p>","DOI":"10.1364\/ol.402371","type":"journal-article","created":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T12:15:25Z","timestamp":1597234525000},"page":"5262","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Frequency-doubling of continuous laser light in the Laguerre\u2013Gaussian modes LG0,0<\/sub> and LG3,3<\/sub>"],"prefix":"10.1364","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8692-2724","authenticated-orcid":true,"given":"Joscha","family":"Heinze","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Henning","family":"Vahlbruch","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0524-2925","authenticated-orcid":true,"given":"Benno","family":"Willke","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"285","published-online":{"date-parts":[[2020,9,14]]},"reference":[{"key":"ol-45-18-5262-R1","doi-asserted-by":"publisher","first-page":"074001","DOI":"10.1088\/0264-9381\/32\/7\/074001","volume":"32","year":"2015","journal-title":"Classical Quantum Gravity"},{"key":"ol-45-18-5262-R2","doi-asserted-by":"publisher","first-page":"024001","DOI":"10.1088\/0264-9381\/32\/2\/024001","volume":"32","year":"2015","journal-title":"Classical Quantum Gravity"},{"key":"ol-45-18-5262-R3","doi-asserted-by":"publisher","first-page":"3897","DOI":"10.1088\/0264-9381\/24\/15\/008","volume":"24","author":"Vinet","year":"2007","journal-title":"Classical Quantum Gravity"},{"key":"ol-45-18-5262-R4","doi-asserted-by":"publisher","first-page":"012002","DOI":"10.1103\/PhysRevD.82.012002","volume":"82","author":"Fulda","year":"2010","journal-title":"Phys. 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