Abstract
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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