The Lateral Surface Phonon Modes in Bi-layer Dielectrics with Different Values of Permittivity
Downloads
Surface phonon polaritons were electromagnetic waves that propagated at the surface of dielectrics. These polaritons had many attentions since the frequency can reach in the order of terahertz. Hence, it can be employ in terahertz technology. One of the general method to study polaritons was by solving Maxwell's equations. The results were dispersion relation which showed the characteristic of the polaritons. In this study, we analyze polaritons of a bilayer dielectric which was comprised of two dielectrics which had different permittivities. We set the thickness of each dielectric was smaller than the wavelength so that we could use effective medium method. In this approximation, we can treat a multilayer system as a single effective medium medium. We also assumed that the surface modes propagated across the thickness of each dielectric. It was found that when the resonant frequency of the two dielectrics were considerably wide, then we had two branches of surface polaritons. In this result, each branch represented each dielectric. The interesting results appeared when there was intersection of the the frequencies near resonant frequency of the dielectrics. In this condition, we found only one branch of surface modes.
Downloads
1. Falge, H., Otto, A. and Sohler., W., “Dispersion of surface and bulk phonon polaritons on alpha quartz measured by attenuated total reflection”, Phys Status Solidi B, 63 259, 1977
2. Falge, H. and Otto, A., Surface phonon polaritons at semi-infinite crystals”, Phys Status Solidi B, 83 11, 1977
3. Hu, G., Shen, J., Qiu, C., Alu, A. and Dai, S., “Phonon polaritons and hyperbolic response in van der Waals materials”, Advanced Optic Materials, 8 5, 2020
4. Barra-Burillo, M., Muniain, U., Catalano, S., Autore, M., Casanova, F., Hueso, L. E., Aizpurua, J., Esteban., R. and Hillenbrand, R., “Microcavity phonon polaritons from the weak to the ultra strong phonon-photon coupling regime”, Nature Gommunications, 12 6206, 2021
5. Rivera, N., Christensen, T. and Narang, P., “ Phonon polaritonics in two-dimensional materials”, Nanolett., 19, 4, 2019.
6. Foteinopoulou, S., Devarapu, G. C. R., Subranania, G. S. Krishna, S. and Wasserman, D.,”Phonon-polaritonics: enabling powerful capabilities for infrared photonics”, Nanophotonics, 8 12, 2019.
7. Gubbin, C. R., De Liberato, S. and Folland, T. G., “Surface phononpolaritons for infrared optoelectronics.”, J. Appl. Phys., 131 030901, 2022.
8. Jia, G.,”Hyperbolic shear polaritons and their applications”, Nano TransMed, 2 4, 2023
9. Huang, C. and Lan, Y., “Thermophysical study of surface phonon polaritons in multilayer system for heat dissipation”, International Journal of Thermal Sciences, 159 106548, 2021
10. Baher, S. and Cottam, G., “Theory of Nonlinear s-polarized phonon-polaritons in multi-layered structures”, Journal of Sciences, 15 2, 2004
11. Tachikawa, S., Ordonez-Miranda, J., Wu, L., Jalabert, L., Anufriev, R., Volz, S. and Nomura, M., “In-plane surface phonon polariton thermal conduction in dielectric multilayer system, Applied Physics Letter, 121 20, 2022
12. Raj, N. and Tilley, D. R., “Polariton and effective medium theory of magnetic superlattices”, Phys. Rev. B 36 7003, 1987
Copyright (c) 2024 Vincensius Gunawan
This work is licensed under a Creative Commons Attribution 4.0 International License.
