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However, simultaneously modulating both transmitted and reflected beams across a broad bandwidth is a multi-objective problem that is difficult to satisfy with intuitive metasurface designs built on one or a few eigenmodes, calling for complex multimode structures accessible only through inverse design. Here, we demonstrate broadband electro-thermal modulation of both reflected and transmitted beams in an adjoint-optimized freeform Au\u2013VO2 metasurface on sapphire, operating as an amplitude modulator across the telecom bands (1200\u20131600 nm), with the Au layer serving as both electrode and plasmonic field concentrator. Measurements reproduce the simulated complementary switching of the two channels, yielding band-averaged modulation depths of \u223c0.4 (transmittance) and \u223c0.7 (reflectance) and optical efficiencies of \u223c0.18 (transmittance) and \u223c0.15 (reflectance) for y-polarized incidence. A coupled Bloch mode analysis then uncovers how the optimizer meets these competing objectives, the origins of the polarization selectivity, and the broadband nature of the switching. This work establishes adjoint optimization combined with multi-mode analysis as a framework for VO2-based active metasurfaces, opening a route toward compact full-space light modulators for optical communications, interconnects, and free-space optical computing in the telecom bands.<\/jats:p>","DOI":"10.1021\/acsami.6c12454","type":"journal-article","created":{"date-parts":[[2026,10,12]],"date-time":"2026-10-12T08:01:43Z","timestamp":1791792103000},"page":"56439-56451","source":"Crossref","is-referenced-by-count":0,"title":["Broadband Electro-Thermal Full-Space Modulation in Freeform VO2 Metagrating in the Telecom Band"],"prefix":"10.1021","volume":"18","author":[{"given":"Kyuho","family":"Kim","sequence":"first","affiliation":[{"name":"Seoul National University , , Gwanak-ro 1 , , ,","place":["Gwanak-Gu, Seoul, Republic of Korea, 08826"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kyoungho","family":"Jeong","sequence":"additional","affiliation":[{"name":"Soongsil University , , 369 Sangdoro , , ,","place":["Dongjak-Gu, Seoul, Republic of Korea, 06978"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Geun Woo","family":"Baek","sequence":"additional","affiliation":[{"name":"Hanbat National University , , ,","place":["Daejeon, Republic of Korea, 34158"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Taewon","family":"Choi","sequence":"additional","affiliation":[{"name":"Seoul National University , , Gwanak-ro 1 , , ,","place":["Gwanak-Gu, Seoul, Republic of Korea, 08826"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hansol","family":"Kim","sequence":"additional","affiliation":[{"name":"Sejong University , , ,","place":["Seoul, Republic of Korea, 05006"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5183-0918","authenticated-orcid":true,"given":"Jae-Pil","family":"So","sequence":"additional","affiliation":[{"name":"Soongsil University , , 369 Sangdoro , , ,","place":["Dongjak-Gu, Seoul, Republic of Korea, 06978"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8956-5969","authenticated-orcid":true,"given":"Jongweon","family":"Cho","sequence":"additional","affiliation":[{"name":"Myongji University , , Myongjiro 116, Namdong, Cheoin-gu , , ,","place":["Yongin, Gyeonggi-do, Republic of Korea, 17058"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chi Jung","family":"Kang","sequence":"additional","affiliation":[{"name":"Myongji University , , Myongjiro 116, Namdong, Cheoin-gu , , ,","place":["Yongin, Gyeonggi-do, Republic of Korea, 17058"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bong Jun","family":"Kim","sequence":"additional","affiliation":[{"name":"ETRI , , ,","place":["Daejeon, Republic of Korea, 305-350"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9627-4465","authenticated-orcid":true,"given":"Sun-Je","family":"Kim","sequence":"additional","affiliation":[{"name":"Soongsil University , , 369 Sangdoro , , ,","place":["Dongjak-Gu, Seoul, Republic of Korea, 06978"]},{"name":"Soongsil University , , 369 Sangdoro , , ,","place":["Dongjak-Gu, Seoul, Republic of Korea, 06978"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9554-4438","authenticated-orcid":true,"given":"Yoonchan","family":"Jeong","sequence":"additional","affiliation":[{"name":"Seoul National University , , Gwanak-ro 1 , , ,","place":["Gwanak-Gu, Seoul, Republic of Korea, 08826"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"316","published-online":{"date-parts":[[2026,10,12]]},"reference":[{"issue":"11","key":"2026102108064102900_cit1","doi-asserted-by":"publisher","first-page":"2638","DOI":"10.1021\/acsphotonics.7b01038","article-title":"Functional Meta-Optics and Nanophotonics Governed by Mie Resonances","volume":"4","author":"Kruk","year":"2017","journal-title":"ACS Photonics"},{"issue":"6054","key":"2026102108064102900_cit2","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1126\/science.1210713","article-title":"Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction","volume":"334","author":"Yu","year":"2011","journal-title":"Science"},{"issue":"2","key":"2026102108064102900_cit3","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1038\/nmat3839","article-title":"Flat Optics with Designer Metasurfaces","volume":"13","author":"Yu","year":"2014","journal-title":"Nat. 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Phys."},{"issue":"6","key":"2026102108064102900_cit63","doi-asserted-by":"publisher","first-page":"3752","DOI":"10.1021\/acs.nanolett.7b01082","article-title":"Large-Angle, Multifunctional Metagratings Based on Freeform Multimode Geometries","volume":"17","author":"Sell","year":"2017","journal-title":"Nano Lett."},{"key":"2026102108064102900_cit64","volume-title":"Thin-Film Optical Filters","author":"Macleod","year":"2018","edition":"5"},{"key":"2026102108064102900_cit65","doi-asserted-by":"publisher","first-page":"5366","DOI":"10.1021\/acs.nanolett.9b01857","article-title":"Global Optimization of Dielectric Metasurfaces Using a Physics-Driven Neural Network","volume":"19","author":"Jiang","year":"2019","journal-title":"Nano Lett."},{"key":"2026102108064102900_cit66","doi-asserted-by":"publisher","first-page":"2098","DOI":"10.1021\/acsphotonics.0c00539","article-title":"Robust Freeform Metasurface Design Based on Progressively Growing Generative Networks","volume":"7","author":"Wen","year":"2020","journal-title":"ACS Photonics"},{"key":"2026102108064102900_cit67","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1038\/s41566-020-0685-y","article-title":"Deep Learning for the Design of Photonic Structures","volume":"15","author":"Ma","year":"2021","journal-title":"Nat. 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