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finite element model (fem) using the solid mechanics module of comsol multiphysics version 5.3a software  (COMSOL Inc)

 
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    COMSOL Inc finite element model (fem) using the solid mechanics module of comsol multiphysics version 5.3a software
    Finite Element Model (Fem) Using The Solid Mechanics Module Of Comsol Multiphysics Version 5.3a Software, supplied by COMSOL Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/multiphysics+modeling+software/comsol+multiphysics/pm40659755-404-43-39
    Average 90 stars, based on 1 article reviews
    finite element model (fem) using the solid mechanics module of comsol multiphysics version 5.3a software - by Bioz Stars, 2026-09
    90/100 stars

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    Angular interrogation analysis of grating coupled surface plasmons. ( a ) Schematic illustration of the proposed geometry for grating coupled surface plasmons (GC-SPR) in angle interrogation mode. ( a ) Cross-sectional view of the sinusoidal metal-dielectric grating, with the inset highlighting the key geometric parameters: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:t$$\end{document} (film thickness), \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:d$$\end{document} (grating depth), \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\varLambda\:$$\end{document} (grating period), and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{\theta\:}_{i}$$\end{document} (angle of incidence). ( b ) Illustration of the unit cell containing the sinusoidal grating geometry used in the finite element method (FEM) computations, along with the associated material domains: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{n}_{d}$$\end{document} (dielectric material) and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{n}_{a}$$\end{document} (incident medium). ( c ) Magnetic field intensity distribution at the SPR condition for a sinusoidal grating metasurface \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:(\varLambda\:=320\:nm)$$\end{document} . (Microsoft PowerPoint, Microsoft Office LTSC Professional Plus 2021 URL: www.microsoft.com ; COMSOL <t>Multiphysics</t> 6.3, URL: www.comsol.com ).
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    Angular interrogation analysis of grating coupled surface plasmons. ( a ) Schematic illustration of the proposed geometry for grating coupled surface plasmons (GC-SPR) in angle interrogation mode. ( a ) Cross-sectional view of the sinusoidal metal-dielectric grating, with the inset highlighting the key geometric parameters: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:t$$\end{document} (film thickness), \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:d$$\end{document} (grating depth), \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\varLambda\:$$\end{document} (grating period), and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{\theta\:}_{i}$$\end{document} (angle of incidence). ( b ) Illustration of the unit cell containing the sinusoidal grating geometry used in the finite element method (FEM) computations, along with the associated material domains: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{n}_{d}$$\end{document} (dielectric material) and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{n}_{a}$$\end{document} (incident medium). ( c ) Magnetic field intensity distribution at the SPR condition for a sinusoidal grating metasurface \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:(\varLambda\:=320\:nm)$$\end{document} . (Microsoft PowerPoint, Microsoft Office LTSC Professional Plus 2021 URL: www.microsoft.com ; COMSOL <t>Multiphysics</t> 6.3, URL: www.comsol.com ).
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    Angular interrogation analysis of grating coupled surface plasmons. ( a ) Schematic illustration of the proposed geometry for grating coupled surface plasmons (GC-SPR) in angle interrogation mode. ( a ) Cross-sectional view of the sinusoidal metal-dielectric grating, with the inset highlighting the key geometric parameters: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:t$$\end{document} (film thickness), \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:d$$\end{document} (grating depth), \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\varLambda\:$$\end{document} (grating period), and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{\theta\:}_{i}$$\end{document} (angle of incidence). ( b ) Illustration of the unit cell containing the sinusoidal grating geometry used in the finite element method (FEM) computations, along with the associated material domains: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{n}_{d}$$\end{document} (dielectric material) and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{n}_{a}$$\end{document} (incident medium). ( c ) Magnetic field intensity distribution at the SPR condition for a sinusoidal grating metasurface \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:(\varLambda\:=320\:nm)$$\end{document} . (Microsoft PowerPoint, Microsoft Office LTSC Professional Plus 2021 URL: www.microsoft.com ; COMSOL Multiphysics 6.3, URL: www.comsol.com ).

    Journal: Scientific Reports

    Article Title: Angular interrogation analysis of metal-dielectric grating metasurfaces for efficient tuning of surface plasmons

    doi: 10.1038/s41598-025-04353-1

    Figure Lengend Snippet: Angular interrogation analysis of grating coupled surface plasmons. ( a ) Schematic illustration of the proposed geometry for grating coupled surface plasmons (GC-SPR) in angle interrogation mode. ( a ) Cross-sectional view of the sinusoidal metal-dielectric grating, with the inset highlighting the key geometric parameters: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:t$$\end{document} (film thickness), \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:d$$\end{document} (grating depth), \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\varLambda\:$$\end{document} (grating period), and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{\theta\:}_{i}$$\end{document} (angle of incidence). ( b ) Illustration of the unit cell containing the sinusoidal grating geometry used in the finite element method (FEM) computations, along with the associated material domains: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{n}_{d}$$\end{document} (dielectric material) and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:{n}_{a}$$\end{document} (incident medium). ( c ) Magnetic field intensity distribution at the SPR condition for a sinusoidal grating metasurface \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:(\varLambda\:=320\:nm)$$\end{document} . (Microsoft PowerPoint, Microsoft Office LTSC Professional Plus 2021 URL: www.microsoft.com ; COMSOL Multiphysics 6.3, URL: www.comsol.com ).

    Article Snippet: To numerically evaluate the angular response of the SPs as a function of grating geometrical parameters, we employed a Finite Element Model (FEM) using COMSOL Multiphysics ® software .

    Techniques: