Two-dimensional (2-D) boundary integral equation analysis of a notched
circular microdisk resonator is presented. Results obtained provide accurate
description of optical modes, free from the staircasing and discretization
errors of other numerical techniques. Splitting of the double degenerate
Whispering-Gallery (WG) modes and directional light output is demonstrated. The
effect of the notch depth and width on the resonance wavelengths, Q-factors,
and emission patterns is studied. Further improvement of the directionality is
demonstrated in an elliptical notched microdisk. Applications of the notched
resonators to the design of microdisk lasers, oscillators, and biosensors are
discussed.Comment: 7 pages with 11 figures; to appear in IEEE J. Select. Topics Quantum.
Electron., Jan/Feb 200