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Express"],"published-print":{"date-parts":[[2026,10,5]]},"abstract":"<jats:p>\n                    High-quality (\n                    <jats:italic toggle=\"yes\">Q<\/jats:italic>\n                    ) factor resonances in nonlocal metasurfaces are highly desired for enhancing light-matter interactions. However, high-\n                    <jats:italic toggle=\"yes\">Q<\/jats:italic>\n                    resonances typically suffer from significant wavelength shifts or\n                    <jats:italic toggle=\"yes\">Q<\/jats:italic>\n                    -factor degradation with varying incident angles. Current strategies to improve angular robustness have been largely confined to one-dimensional cases and work in reflection mode. In this work, we propose a high-\n                    <jats:italic toggle=\"yes\">Q<\/jats:italic>\n                    transmissive metasurface that addresses this limitation by engineering quasi-guided modes to suppress angular dispersion and\n                    <jats:italic toggle=\"yes\">Q<\/jats:italic>\n                    factor degradation in the two-dimensional Brillouin zone. This is achieved through two-dimensional Brillouin zone folding, which replicates geometrically tuned flat bands from the boundary to the center, coupled with asymmetry-engineered far-field excitation. Our approach eliminates the inherent trade-off between maintaining a high\n                    <jats:italic toggle=\"yes\">Q<\/jats:italic>\n                    -factor and ensuring angular stability of nonlocal resonances, demonstrating exceptional robustness: the\n                    <jats:italic toggle=\"yes\">Q<\/jats:italic>\n                    -factor remains above 10\n                    <jats:sup>3<\/jats:sup>\n                    with stable resonant wavelengths and circular-polarization independence over a wide angular range of \u00b118\u00b0 in both the x-z and y-z planes. Moreover, our design extends angle-robust high-\n                    <jats:italic toggle=\"yes\">Q<\/jats:italic>\n                    flat-band spectral filtering from reflection to transmission, enabling ultra-narrowband filtering in transmission. This work paves the way for advancements in nonlinear photonics, spectroscopic sensing, and quantum sensing.\n                  <\/jats:p>","DOI":"10.1364\/oe.611554","type":"journal-article","created":{"date-parts":[[2026,9,15]],"date-time":"2026-09-15T02:00:09Z","timestamp":1789437609000},"page":"37214","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Nonlocal metasurface with angle-robust high-quality-factor flat-band resonances via two-dimensional Brillouin zone folding"],"prefix":"10.1364","volume":"34","author":[{"given":"Rongrong","family":"Jia","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/006aydy55","id-type":"ROR","asserted-by":"publisher"}]},{"name":"South China Normal University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiaxin","family":"Xia","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/006aydy55","id-type":"ROR","asserted-by":"publisher"}]},{"name":"South China Normal University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qianqian","family":"Luo","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/006aydy55","id-type":"ROR","asserted-by":"publisher"}]},{"name":"South China Normal University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9774-7693","authenticated-orcid":true,"given":"Feng","family":"Wu","sequence":"additional","affiliation":[{"name":"Guangdong Polytechnic Normal University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jingyi","family":"Tian","sequence":"additional","affiliation":[{"name":"Westlake University"},{"name":"Westlake Institute for Advanced Study"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3836-8129","authenticated-orcid":true,"given":"Yihang","family":"Chen","sequence":"additional","affiliation":[{"name":"South China Normal University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9839-0171","authenticated-orcid":true,"given":"Meiyan","family":"Pan","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/006aydy55","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"285","published-online":{"date-parts":[[2026,9,22]]},"reference":[{"key":"oe-34-20-37214-R1","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1038\/s41377-025-01825-x","type":"journal-article","volume":"14","author":"Yu","year":"2025","journal-title":"Light: Sci. 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