We have numerically evaluated the complex valued eigenfrequencies of infinite silver nanotubes as a function of the ratio of internal and external radius, by solving the surface plasmon dispersion relations for the TE polarization. The results are shown for tubes of external radius of 20 nm, 50 nm, 100 nm, 150 nm, 200 nm and 300 nm with the internal radius varying from 0.1 to 0.9 fractions of the external radius. We have observed that their quality factor Q is substantially enhanced as compared to solid cylinders or wires.
Resonant cavities based on whispering gallery modes (WGM) have high quality factor, Q. This property is highly
desirable for the design of a variety of devices. The quality factor is larger for larger systems, but, at the same time the
density of modes increases, and not as regularly spaced frequencies, because modes of different kind superpose. For a
dielectric cylinder, the modes are characterized by their azimuthal and radial behavior. The complex frequencies
corresponding to the modes have a strong dependence on the radial order. We use the finite difference time domain
method, to study the transmission of light by two prisms with a dielectric cylinder between them. The system acts as a
filter with sharp peaks of modes of high Q. The coupling to the modes can be controlled by changing the distance of
separation between the prisms. For large coupling, the full width at half maximum of the transmission peaks increases,
being more noticeable for the high Q modes.
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