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(Color online) Schematic diagrams of (a) and (b) an N-layered cylindrical structure [N = 2 is shown] and (c) a flat dielectric film with dielectric constant ε and thickness Δ in air. (a) and (b) are 3D and cross-section views, respectively. (d) Dispersion relationship of optical guiding modes for the film shown in (c). The modes A-D have βΔ = 1.633 which is obtained from Eq. (2), L = π(d – Δ), and Δ = 0.02 d.
(Color online) (a) Total and (b) m = 40 partial scattering cross sections for a hollow microtube in air. The tube has an outer diameter d, and a dielectric constant of ε = 2 and thickness of Δ = 0.02 d in the wall. For d = 5.5 μm, the scale of wavelength λ is shown on the top of (a). The modes A and B in (b) are related to the modes A and B in Fig. 1(d), respectively.
(Color online) (a) Partial scattering cross sections of m = 40, and (b) wavelengths λ and (c) Q factors of the m = 40 resonant modes for the microtube with Δ = 0.02 d shown in Fig. 2(a). The insets to (a) show Re(Ez )/Re(Hz ) for TM/TE resonances. The modes A-D are related to the modes A-D in Fig. 1(d), respectively. The lines and dots in (b) are obtained from (a) and from Eq. (2), respectively.
(Color online) (a) and (b) The same as Figs. 3(b) and 3(c), respectively, but for microtubes with ε = 2.
(Color online) (a) Wavelengths and (b) Q factors of m = 40 resonances for a hollow microtube in air. The tube has eight layers in wall, where the SiO/SiO2/coating layer has a thickness of 6/2027/δ nm and dielectric constant of 2.1/2.4/3.8. The outer diameter d is 5.5 μm for a tube without HfO2 coating layers.
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