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Phonon-mediated magnetic polaritons in the infrared region

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Abstract

Magnetic polaritons that couple electromagnetic waves with magnetic excitation can be used for tailoring the radiative properties of materials in energy-harvesting and other applications. Previous studies used metallic microstructures to induce magnetic responses. With rigorous coupled-wave analysis (RCWA), transmission enhancement with a SiC slit array and coherent thermal emission with a SiC deep grating is theoretically demonstrated in the infrared within the phonon absorption band. The field distributions and the agreement in the resonance frequencies predicted from both RCWA and LC circuit models strongly suggest that magnetic polaritons exist in the SiC microstructures. This type of magnetic polariton is mediated by vibration of atoms in polar materials (i.e., optical phonons), rather than by free electrons in metals. Our results suggest that phonon-mediated magnetic polaritons have promising applications such as filters and selective coherent emitters in the infrared spectral region.

©2011 Optical Society of America

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Figures (4)

Fig. 1
Fig. 1 Microstructures made of SiC and calculated radiative properties. (a) Calculated spectral-directional reflectance R (dashed) and transmittance T (solid) at normal incidence for the slit array structure, shown as inset along with the LC circuit model. (b) Calculated spectral-directional reflectance R (dashed) and emittance ε (solid) at normal incidence for the deep grating structure, shown as inset along with the LC circuit model.
Fig. 2
Fig. 2 Contour plots of the radiative properties as functions of wavenumber and the parallel wavevector component. (a) Transmittance for the slit array shown in Fig. 1(a). (b) Emittance for the deep grating shown in Fig. 1(b). The dispersion curves of surface phonon polaritons at the SiC-vacuum interface are also shown and indicated as SPhP. Triangles show the frequency of the fundamental mode of magnetic polariton (MP1) predicted from the LC circuit model. The period Λ is 5 μm and the strip width w is 4.5 μm for both structures, while the height h is 3 μm for the slit array and 1 μm for the deep gating, respectively.
Fig. 3
Fig. 3 Geometric effects on the magnetic polaritons for (a, c, e) the slit array and (b, d, f) the deep grating: (a, b) height h effect, (c, d) slit width b effect, and (d, f) period Λ effect. MP1 represents the fundamental mode and MP2 or MP3 denotes high-order modes of magnetic polaritons. The fundamental mode of the magnetic resonance frequency calculated from the LC circuit model is shown as triangles.
Fig. 4
Fig. 4 Electromagnetic field patterns for magnetic polaritons (not to scale): the fundamental mode (MP1) for (a) the slit array at 836.5 cm−1 and (b) the deep grating at 852.5 cm−1; the second harmonic mode (MP2) at the same frequency as MP1 for (c) the slit array but with h = 6.64 μm and (d) the deep grating but with h = 4.28 μm. The contour indicates the logarithm of the square of the magnetic field, arrows represent the electric field vectors, and the ovals visualize the induced currents associated with each antinode. The corresponding transmittance or emittance values are indicated in the figures.

Equations (4)

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ε SiC ( ν ) = ε + i ε = ε ( 1 + ν LO 2 ν TO 2 ν TO 2 i γ ν ν 2 )
k x = ω c ε SiC ε SiC + 1
Z tot,1 = i 2 ω ( L m,1 + L k,1 1 ω 2 C 1 )
Z tot,2 = i ω ( L m,2 + L k,2 1 ω 2 C 2 )
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