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Far-field excitations of hyperbolic phonon polaritons (HPhPs) in in-plane hyperbolic polariton tuners
a Schemes of the tuners comprised of van der Waals (vdW) α-MoO3 periodic ribbon patterns and Fourier transform infrared spectroscopic (FTIR) measurements. b Photograph of a typical α-MoO3 flake grown on a silicon substrate with a 300-nm oxide layer. The largest lateral length of the flake is 1 cm. c Scanning electron microscopy image of periodic ribbon patterns with a fixed width w = 800 nm and different skew angles θ of 0°, 30°, 60°, and 90°. d Polarized reflectance spectra of the pristine α-MoO3 thin flake shown in (b). The electric fields of the incident light, Einc, are along [001] (red curve) and [100] (blue curve) crystallographic directions, respectively. e, f Experimental polarized reflectance spectra of one-dimensional periodic tuner patterns with θ = 0° (e) and 90° (f). The polarization of the incident light is paralleled to [001] (red curves) and [100] (blue curves) directions, respectively. Insets: enlarged reflectance spectra in the range of 995 to 1020 cm⁻¹. The ω0 represents the resonant frequency of polariton tuners. The ωTO001\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\omega }_{{{{{{\rm{TO}}}}}}}^{001}$$\end{document} and ωTO100\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\omega }_{{{{{{\rm{TO}}}}}}}^{100}$$\end{document} represent the transverse optical (TO) phonon frequencies along the [001] and [100] crystallographic directions, respectively, and the ωLO010\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\omega }_{{{{{{\rm{LO}}}}}}}^{010}$$\end{document} indicates the longitudinal optical (LO) phonon frequency along the [010] crystallographic direction. Colored shaded regions in (d), (e), and (f) mark the frequency ranges of different Reststrahlen bands of α-MoO3.

Far-field excitations of hyperbolic phonon polaritons (HPhPs) in in-plane hyperbolic polariton tuners a Schemes of the tuners comprised of van der Waals (vdW) α-MoO3 periodic ribbon patterns and Fourier transform infrared spectroscopic (FTIR) measurements. b Photograph of a typical α-MoO3 flake grown on a silicon substrate with a 300-nm oxide layer. The largest lateral length of the flake is 1 cm. c Scanning electron microscopy image of periodic ribbon patterns with a fixed width w = 800 nm and different skew angles θ of 0°, 30°, 60°, and 90°. d Polarized reflectance spectra of the pristine α-MoO3 thin flake shown in (b). The electric fields of the incident light, Einc, are along [001] (red curve) and [100] (blue curve) crystallographic directions, respectively. e, f Experimental polarized reflectance spectra of one-dimensional periodic tuner patterns with θ = 0° (e) and 90° (f). The polarization of the incident light is paralleled to [001] (red curves) and [100] (blue curves) directions, respectively. Insets: enlarged reflectance spectra in the range of 995 to 1020 cm⁻¹. The ω0 represents the resonant frequency of polariton tuners. The ωTO001\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\omega }_{{{{{{\rm{TO}}}}}}}^{001}$$\end{document} and ωTO100\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\omega }_{{{{{{\rm{TO}}}}}}}^{100}$$\end{document} represent the transverse optical (TO) phonon frequencies along the [001] and [100] crystallographic directions, respectively, and the ωLO010\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\omega }_{{{{{{\rm{LO}}}}}}}^{010}$$\end{document} indicates the longitudinal optical (LO) phonon frequency along the [010] crystallographic direction. Colored shaded regions in (d), (e), and (f) mark the frequency ranges of different Reststrahlen bands of α-MoO3.

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