{"id":268378,"date":"2025-11-07T08:09:14","date_gmt":"2025-11-07T08:09:14","guid":{"rendered":"https:\/\/www.newsbeep.com\/au\/268378\/"},"modified":"2025-11-07T08:09:14","modified_gmt":"2025-11-07T08:09:14","slug":"ultra-broadband-wide-angle-anti-reflection-scheme-utilizing-multi-layer-resonant-metasurfaces","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/au\/268378\/","title":{"rendered":"Ultra-broadband wide-angle anti-reflection scheme utilizing multi-layer resonant metasurfaces"},"content":{"rendered":"<p>When light transitions from one medium to another, differences in refractive indices cause partial reflection which reduces the intensity of the transmitted light. Partial reflection is common to all types of waves and in the optical regime can significantly degrade the performance of optical devices such as lenses, solar panels, displays, and even eyeglasses. Thus, anti-reflection (AR) techniques have become ubiquitous and are employed in numerous applications.<\/p>\n<p>Approaches for reflection suppression have been developed since the 19th century following the pioneering works of Raleigh and Fraunhofer<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 1\" title=\"Strutt, I. V. J. W. On the intensity of light reflected from certain surfaces at nearly perpendicular incidence. Proc. Royal Soc. Lond. 41, 275&#x2013;294 (1997).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR1\" id=\"ref-link-section-d118357322e468\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 2\" title=\"Fraunhofer, J. V. Joseph Von Fraunhofer Gesannekte Schriften (Munich, 1888).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR2\" id=\"ref-link-section-d118357322e471\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a> on utilizing graded index layer for AR purposes. Approaches such as thin-film AR coating<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"MacLeod, H. A. &amp; Macleod, H. A. Thin-Film Optical Filters (CRC, 2010). &#10;                  https:\/\/doi.org\/10.1201\/9781420073034&#10;                  &#10;                \" href=\"#ref-CR3\" id=\"ref-link-section-d118357322e475\">3<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Knittl, Z. Optics of Thin Films: an Optical Multilayer Theory (London, 1976).\" href=\"#ref-CR4\" id=\"ref-link-section-d118357322e475_1\">4<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 5\" title=\"Kumar Raut, H., Ganesh, A., Sreekumaran Nair, V., Ramakrishna, S. &amp; A. &amp; Anti-reflective coatings: A critical, in-depth review. Energy Environ. Sci. 4, 3779&#x2013;3804 (2011).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR5\" id=\"ref-link-section-d118357322e478\" rel=\"nofollow noopener\" target=\"_blank\">5<\/a>, adiabatic graded index layers<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Raguin, D. H. &amp; Morris, G. M. Antireflection structured surfaces for the infrared spectral region. Appl. Opt. AO. 32, 1154&#x2013;1167 (1993).\" href=\"#ref-CR6\" id=\"ref-link-section-d118357322e482\">6<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Dobrowolski, J. A., Poitras, D., Ma, P., Vakil, H. &amp; Acree, M. Toward perfect antireflection coatings: numerical investigation. Appl. Opt. AO. 41, 3075&#x2013;3083 (2002).\" href=\"#ref-CR7\" id=\"ref-link-section-d118357322e482_1\">7<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Southwell, W. H. Pyramid-array surface-relief structures producing antireflection index matching on optical surfaces. J. Opt. Soc. Am. JOSAA. 8, 549&#x2013;553 (1991).\" href=\"#ref-CR8\" id=\"ref-link-section-d118357322e482_2\">8<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Branz, H. M. et al. Nanostructured black silicon and the optical reflectance of graded-density surfaces. Appl. Phys. Lett. 94, 231121 (2009).\" href=\"#ref-CR9\" id=\"ref-link-section-d118357322e482_3\">9<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Huang, Y. F. et al. Improved broadband and quasi-omnidirectional anti-reflection properties with biomimetic silicon nanostructures. Nat. Nanotech. 2, 770&#x2013;774 (2007).\" href=\"#ref-CR10\" id=\"ref-link-section-d118357322e482_4\">10<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 11\" title=\"Sai, H. et al. Antireflective subwavelength structures on crystalline Si fabricated using directly formed anodic porous alumina masks. Appl. Phys. Lett. 88, 201116 (2006).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR11\" id=\"ref-link-section-d118357322e485\" rel=\"nofollow noopener\" target=\"_blank\">11<\/a>, metamaterials<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 12\" title=\"Im, K., Kang, J. H. &amp; Park, Q. H. Universal impedance matching and the perfect transmission of white light. Nat. Photon. 12, 143&#x2013;149 (2018).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR12\" id=\"ref-link-section-d118357322e489\" rel=\"nofollow noopener\" target=\"_blank\">12<\/a>, and resonant nanostructures<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 13\" title=\"Spinelli, P., Verschuuren, M. A. &amp; Polman, A. Broadband omnidirectional antireflection coating based on subwavelength surface Mie resonators. Nat. Commun. 3, 692 (2012).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR13\" id=\"ref-link-section-d118357322e493\" rel=\"nofollow noopener\" target=\"_blank\">13<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 14\" title=\"Pecora, E. F., Cordaro, A., Kik, P. G. &amp; Brongersma, M. L. Broadband antireflection coatings employing multiresonant dielectric metasurfaces. ACS Photonics. 5, 4456&#x2013;4462 (2018).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR14\" id=\"ref-link-section-d118357322e496\" rel=\"nofollow noopener\" target=\"_blank\">14<\/a> have been proposed and demonstrated. The growing interest in spatiotemporal shaping of optical beams<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Shen, Y. et al. Roadmap on Spatiotemporal light fields. J. Opt. 25, 093001 (2023).\" href=\"#ref-CR15\" id=\"ref-link-section-d118357322e501\">15<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wan, C., Chong, A. &amp; Zhan, Q. Optical Spatiotemporal vortices. eLight 3, 11 (2023).\" href=\"#ref-CR16\" id=\"ref-link-section-d118357322e501_1\">16<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 17\" title=\"Chen, L. et al. Synthesizing ultrafast optical pulses with arbitrary Spatiotemporal control. Sci. Adv. 8, eabq8314 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR17\" id=\"ref-link-section-d118357322e504\" rel=\"nofollow noopener\" target=\"_blank\">17<\/a> poses significant challenges to AR structures design as such beams are characterized by broadband spectral and spatial profiles. Recent developments in graded index layers and three-dimensional configurations have been shown to support polarization-insensitive and broadband reflection suppression<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 18\" title=\"Wu, J. et al. Gradient refractive index-based broadband antireflective coatings and application in silicon solar modules. Surf. Interfaces. 30, 101918 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR18\" id=\"ref-link-section-d118357322e508\" rel=\"nofollow noopener\" target=\"_blank\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 19\" title=\"Adwan, Y. M. A., Shabat, M. M. &amp; Zoppi, G. Antireflection coating for solar cells based on Graded-Index materials. J. Appl. Math. Phys. 11, 1414&#x2013;1428 (2023).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR19\" id=\"ref-link-section-d118357322e511\" rel=\"nofollow noopener\" target=\"_blank\">19<\/a>. Particularly, moth-eye-inspired<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 20\" title=\"Sun, J. et al. Biomimetic moth-eye nanofabrication: enhanced antireflection with superior self-cleaning characteristic. Sci. Rep. 8, 5438 (2018).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR20\" id=\"ref-link-section-d118357322e515\" rel=\"nofollow noopener\" target=\"_blank\">20<\/a> nanostructures mimicking biological AR have drawn significant interest. More recently, a broadband reflection suppression approach utilizing white light cavities and exceptional points has been suggested and demonstrated in RF<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 21\" title=\"Scheuer, J., Filonov, D., Vosheva, T. &amp; Ginzburg, P. Extraordinary broadband impedance matching in highly dispersive media - the white light cavity approach. Opt. Express OE. 30, 5192&#x2013;5199 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR21\" id=\"ref-link-section-d118357322e519\" rel=\"nofollow noopener\" target=\"_blank\">21<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 22\" title=\"Scheuer, J. Everything is a white light cavity. in paper 11296-107 (San-Francisco, CA, USA, (2020).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR22\" id=\"ref-link-section-d118357322e522\" rel=\"nofollow noopener\" target=\"_blank\">22<\/a>.<\/p>\n<p>Many of the more advanced AR techniques exhibit excellent performances in terms of bandwidth (spectral and spatial), particularly those employing gradient index profiles or 3D nanostructures. Such approaches can indeed cope with the challenges associated with beams exhibiting complex spatiotemporal shapes. However, the practical realization of such AR structures is quite complex, requiring extreme control capabilities over fabrication processes, and is often not very repetitive. Moth-eye-like AR structures, for example, rely on continuously varying surface profiles with very fine features that are difficult to optimize and to fabricate accurately or in a repetitive manner. To date, the commonly used AR approach in optics is based on thin films. The basic AR coating employs a single layer placed between one medium (e.g., air) and another (e.g., glass). By choosing the layer thickness to be a quarter wavelength and its refractive index to be the geometric mean of the indices of the two media, it is possible to cancel completely the reflectivity at a specific wavelength. Employing multilayer coatings can yield broadband AR. However, achieving this in practice is challenging due to the difficulty in obtaining transparent materials with specific refractive indices that do not necessarily exist<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 23\" title=\"Xi, J. Q. et al. Optical thin-film materials with low refractive index for broadband elimination of Fresnel reflection. Nat. Photon. 1, 176&#x2013;179 (2007).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR23\" id=\"ref-link-section-d118357322e529\" rel=\"nofollow noopener\" target=\"_blank\">23<\/a>. Nevertheless, optimal performances can be traded for realizability by employing intensive numerical optimization procedures based on existing materials.<\/p>\n<p>Despite the practical success of thin-films AR coating, there are applications for which a monolithic approach (i.e. the AR coating consists of a single material) is advantageous<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 24\" title=\"Ray, N. J., Yoo, J., Nguyen, H. T. &amp; Feigenbaum, E. All-Glass metasurfaces for ultra&#x2010;broadband and large acceptance angle antireflectivity: from ultraviolet to mid&#x2010;infrared. Adv. Opt. Mater. 11, 2300137 (2023).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR24\" id=\"ref-link-section-d118357322e536\" rel=\"nofollow noopener\" target=\"_blank\">24<\/a>. For example, practical AR for high-power applications<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 25\" title=\"Feigenbaum, E., Ray, N., Yoo, J. H., Nguyen, H. T. &amp; Johnson, M. A. All-glass metasurface laser optics for lensing, antireflections, and waveplates. In Laser-Induced Damage in Optical Materials 2023 (eds Carr, C. W. et al.) 51 (SPIE, 2023). &#010;                  https:\/\/doi.org\/10.1117\/12.2685561&#010;                  &#010;                .\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR25\" id=\"ref-link-section-d118357322e540\" rel=\"nofollow noopener\" target=\"_blank\">25<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 26\" title=\"Ray, N. J. et al. Substrate-engraved antireflective nanostructured surfaces for high-power laser applications. Optica OPTICA. 7, 518&#x2013;526 (2020).\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR26\" id=\"ref-link-section-d118357322e543\" rel=\"nofollow noopener\" target=\"_blank\">26<\/a> is difficult to attain, mainly because of the different thermal expansion coefficients associated with different materials. Consequently, thin-film AR coatings are susceptible to thermal damage under high-power illumination conditions<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 27\" title=\"The Complexities of High-Power Optical Coatings. &#010;                  https:\/\/www.edmundoptics.com\/knowledge-center\/application-notes\/optics\/the-complexities-of-high-power-optical-coatings\/&#010;                  &#010;                \" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#ref-CR27\" id=\"ref-link-section-d118357322e547\" rel=\"nofollow noopener\" target=\"_blank\">27<\/a>.<\/p>\n<p>In this paper, we present a hybrid broadband (spectral and spatial) AR scheme, utilizing nanostructure arrays in a multi-layer metasurface configuration with periodicity in the order of a wavelength (see Fig.\u00a0<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a>). This scheme offers a rigorous design and fabrication approach, allowing for a quick realization flow with good control over the spectral reflectivity. It also allows for optimizing the geometry and obtain more repetitive realization (in terms of obtaining as specific design) than that of moth-eye-like approaches. In parallel, the monolithic, single-material, nature of structure supports high-power applications as well as operation at very high temperature conditions. Furthermore, such AR structures can also be realized using additive manufacturing techniques such as 3D printing and Nano-Imprint Lithography.<\/p>\n<p>Figure <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41598-025-22693-w#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a> depicts a schematic of the proposed AR scheme, comprising a periodic array with several layers of dielectric metasurface composed of the same material as the substrate. For practical realization purposes, the dimensions of the nanostructures in each layer are smaller than those in the lower layers (S2\u2009&lt;\u2009S1).<\/p>\n<p>The rest of the paper is arranged as follows: In Sect.\u00a02, we present the design concept and optimization approach. In Sect.\u00a03, we present various broadband AR structures for telecom wavelengths and discuss the impact of the nanostructures geometry and arrangement, as well as the impact of the array periodicity and the illumination angle. In Sect.\u00a04, we study the sensitivity of the AR performances to fabrication errors, in Sect.\u00a05, we present optimized design for wide angle incidence, and in Sect.\u00a06, we summarize and conclude.<\/p>\n<p>Fig. 1<a class=\"c-article-section__figure-link\" data-test=\"img-link\" data-track=\"click\" data-track-label=\"image\" data-track-action=\"view figure\" href=\"https:\/\/www.nature.com\/articles\/s41598-025-22693-w\/figures\/1\" rel=\"nofollow noopener\" target=\"_blank\"><img decoding=\"async\" aria-describedby=\"Fig1\" src=\"https:\/\/www.newsbeep.com\/au\/wp-content\/uploads\/2025\/11\/41598_2025_22693_Fig1_HTML.png\" alt=\"figure 1\" loading=\"lazy\" width=\"685\" height=\"636\"\/><\/a><\/p>\n<p>Dimensions definition for the two-layer case. h1 and h2 are the height of the first and second layer respectively, S1 and S2 are the widths of the layers. In the case of circularly shaped nanostructures, S1, and S2 correspond to their diameters. \\(\\:{\\Lambda\\:}\\) is the periodicity of the array.<\/p>\n","protected":false},"excerpt":{"rendered":"When light transitions from one medium to another, differences in refractive indices cause partial reflection which reduces the&hellip;\n","protected":false},"author":2,"featured_media":268379,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24],"tags":[64,63,34482,5443,1320,156469,1321,30993,28298,37196,1322,44243,292,128,63800],"class_list":{"0":"post-268378","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-physics","8":"tag-au","9":"tag-australia","10":"tag-electrical-and-electronic-engineering","11":"tag-engineering","12":"tag-humanities-and-social-sciences","13":"tag-lithography","14":"tag-multidisciplinary","15":"tag-nanophotonics-and-plasmonics","16":"tag-nanoscale-materials","17":"tag-nanoscience-and-technology","18":"tag-optical-materials-and-structures","19":"tag-other-nanotechnology","20":"tag-physics","21":"tag-science","22":"tag-sub-wavelength-optics"},"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/posts\/268378","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/comments?post=268378"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/posts\/268378\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/media\/268379"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/media?parent=268378"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/categories?post=268378"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/au\/wp-json\/wp\/v2\/tags?post=268378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}