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Circular microresonators are micron sized dielectric disks embedded inmaterial of lower refractive index. They possess modes of extremely highQ-factors (low lasing thresholds) which makes them ideal candidates for therealization of miniature laser sources. They have, however, the disadvantage ofisotropic light emission caused by the rotational symmetry of the system. Inorder to obtain high directivity of the emission while retaining highQ-factors, we consider a microdisk with a pointlike scatterer placed off-centerinside of the disk. We calculate the resulting resonant modes and show thatsome of them possess both of the desired characteristics. The emission ispredominantly in the direction opposite to the scatterer. We show thatclassical ray optics is a useful guide to optimizing the design parameters ofthis system. We further find that exceptional points in the resonance spectruminfluence how complex resonance wavenumbers change if system parameters arevaried.

Unidirectional emission from circular dielectric microresonators with a point scatterer