Effect of surrounding inhomogeneities on whispering gallery modes in spherical resonators

The Amsterdam discrete dipole approximation (ADDA) is used to study the effects of an inhomogeneous refractive index in the surrounding medium of a microspherical resonator on the quality and position of the whispering gallery modes (WGMs). The model consists of a polystyrene microsphere with a refractive index, n, of 1.587 surrounded by water (n=1.333) and an inhomogeneity (n=1.5) on top of the microsphere. The effect of the area of the inhomogeneity on the WGMs is modeled using the ADDA code and compared with Lorenz–Mie code. WGMs of various quantum dot embedded microspheres mounted on atomic force microscope cantilevers are experimentally measured and shown to be consistent with the model.