{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,25]],"date-time":"2026-09-25T13:08:50Z","timestamp":1790341730636,"version":"4.1.0"},"reference-count":48,"publisher":"Wiley","issue":"8","license":[{"start":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T00:00:00Z","timestamp":1776643200000},"content-version":"vor","delay-in-days":19,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62175264"],"award-info":[{"award-number":["62175264"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Nanophotonics"],"published-print":{"date-parts":[[2026,4]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>\n                    Efficient nonlinear frequency conversion in nanophotonics requires not only strong fundamental field but also precise phase matching among distributed nonlinear sources. Here, we develop the two\u2010dimensional Green's function integral method (GFIM) to directly visualize and optimize phase matching in nonlinear guided\u2010mode resonators. Using GFIM phase analysis, we generalize the phase\u2010matching factor (PMF) as a rigorous metric of spatial phase coherence in harmonic generation, revealing severe phase mismatch in conventional guide mode resonators. Guided by phase\u2010matching profiles, we propose design strategies to improve the phase coherence, particularly by introducing a high\u2010index waveguide layer that confines the fundamental field in the nonlinear material to regions where the harmonic Green's function varies slowly. This configuration achieves a PMF exceeding 0.91, approaching the ideal value of unity, and yields a record SHG efficiency of 26.7% at a low pump intensity of 2\u00a0kW\/cm\n                    <jats:sup>2<\/jats:sup>\n                    . These results establish the microscopic phase\u2010matching visualization as an effective strategy for compact high\u2010performance nonlinear photonic devices.\n                  <\/jats:p>","DOI":"10.1002\/nap2.70091","type":"journal-article","created":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T11:25:56Z","timestamp":1776684356000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Visualizing and Optimizing Phase Matching in Nonlinear Guided\u2010Mode Resonators With the Green's Function Integral Method"],"prefix":"10.1002","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1196-2291","authenticated-orcid":false,"given":"Chengkang","family":"Liang","sequence":"first","affiliation":[{"name":"School of Materials Sun Yat\u2010Sen University  Shenzhen China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Quanying","family":"Li","sequence":"additional","affiliation":[{"name":"School of Materials Sun Yat\u2010Sen University  Shenzhen China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiale","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Materials Sun Yat\u2010Sen University  Shenzhen China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6424-4835","authenticated-orcid":false,"given":"Pingqi","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Materials Sun Yat\u2010Sen University  Shenzhen China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9723-6113","authenticated-orcid":false,"given":"Jiancan","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Materials Sun Yat\u2010Sen University  Shenzhen China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,4,20]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1038\/lsa.2017.100"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467\u2010017\u201002189\u20106"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1117\/1.ap.4.3.034001"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467\u2010022\u201030503\u20104"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41377\u2010020\u201000434\u20100"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.1002\/lpor.201000008"},{"key":"e_1_2_8_8_1","volume-title":"Nonlinear Optics","author":"Boyd R. 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