<p>Metasurfaces, with their remarkable ability to control electromagnetic beams, provide great prospects for optical systems. Recently, active metasurfaces have gained more attention compared to passive ones due to their tunable functionality. However, most active metasurfaces just focus on tunability, this work presents <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{VO}_2\)</EquationSource> </InlineEquation>-based metasurfaces that consider both stable and tunable functions. The proposed design investigates the performance of metasurfaces at two distinct temperatures, <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{T}_1\)</EquationSource> </InlineEquation> = <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq5.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(20^\circ\)</EquationSource> </InlineEquation> C and <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq6.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{T}_2\)</EquationSource> </InlineEquation> = <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq7.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(80^\circ\)</EquationSource> </InlineEquation> C, for two input wavelengths <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda _1\)</EquationSource> </InlineEquation> = 900 nm and <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq9.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda _2\)</EquationSource> </InlineEquation> = 1500 nm. The metasurfaces include metalenses and gradient metasurfaces, each with a specific structure for different wavelengths, and are constructed with polarization-insensitive metaatoms. Numerical simulations reveal that at <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{T}_1\)</EquationSource> </InlineEquation> = <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq5.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(20^\circ\)</EquationSource> </InlineEquation> C, the metasurfaces exhibit considerable focusing efficiencies and precise refracted beam directions for two input wavelengths. When the temperature changes to <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq6.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{T}_2\)</EquationSource> </InlineEquation> = <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq7.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(80^\circ\)</EquationSource> </InlineEquation> C, the operations of metasurfaces remain stable for <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda _1\)</EquationSource> </InlineEquation> = 900 nm due to the stable state of <InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{VO}_2\)</EquationSource> </InlineEquation> at this wavelength range. In contrast, at <InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq9.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda _2\)</EquationSource> </InlineEquation> = 1500 nm, they undergo a sharp change because of an insulator-to-metal (IM) phase transition of <InlineEquation ID="IEq17"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{VO}_2\)</EquationSource> </InlineEquation> at this wavelength. Specifically, focusing efficiency drops to zero, and no refracted beam with a specified direction is observed at <InlineEquation ID="IEq18"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq9.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda _2\)</EquationSource> </InlineEquation> = 1500 nm. Therefore, this work with the stable performance at <InlineEquation ID="IEq19"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda _1\)</EquationSource> </InlineEquation> = 900 nm and the switchable performance at <InlineEquation ID="IEq20"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_4663_Article_IEq9.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda _2\)</EquationSource> </InlineEquation> = 1500 nm, would be applicable for thermally adaptive optical systems sensitive to temperature variation.</p>

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Stable and switchable \(\textrm{VO}_2\)-based metasurfaces in the near-infrared region

  • Elaheh Bazouband,
  • Abdolnasser Zakery,
  • Mahdieh Hashemi

摘要

Metasurfaces, with their remarkable ability to control electromagnetic beams, provide great prospects for optical systems. Recently, active metasurfaces have gained more attention compared to passive ones due to their tunable functionality. However, most active metasurfaces just focus on tunability, this work presents \(\textrm{VO}_2\) -based metasurfaces that consider both stable and tunable functions. The proposed design investigates the performance of metasurfaces at two distinct temperatures, \(\textrm{T}_1\) = \(20^\circ\) C and \(\textrm{T}_2\) = \(80^\circ\) C, for two input wavelengths \(\lambda _1\) = 900 nm and \(\lambda _2\) = 1500 nm. The metasurfaces include metalenses and gradient metasurfaces, each with a specific structure for different wavelengths, and are constructed with polarization-insensitive metaatoms. Numerical simulations reveal that at \(\textrm{T}_1\) = \(20^\circ\) C, the metasurfaces exhibit considerable focusing efficiencies and precise refracted beam directions for two input wavelengths. When the temperature changes to \(\textrm{T}_2\) = \(80^\circ\) C, the operations of metasurfaces remain stable for \(\lambda _1\) = 900 nm due to the stable state of \(\textrm{VO}_2\) at this wavelength range. In contrast, at \(\lambda _2\) = 1500 nm, they undergo a sharp change because of an insulator-to-metal (IM) phase transition of \(\textrm{VO}_2\) at this wavelength. Specifically, focusing efficiency drops to zero, and no refracted beam with a specified direction is observed at \(\lambda _2\) = 1500 nm. Therefore, this work with the stable performance at \(\lambda _1\) = 900 nm and the switchable performance at \(\lambda _2\) = 1500 nm, would be applicable for thermally adaptive optical systems sensitive to temperature variation.