Wavelength splitting in coupled dissimilar disk resonators with nanoscatterers

In this work, we present wavelength splitting characteristics of whispering gallery modes in a system where two disks with different refractive indices are coupled together. This study utilizes finite difference time domain based simulations. The spectral changes caused by the presence of nanoparticles are analyzed, taking factors such as the number of nanoparticles, their size and distance from the surface of the disks into account. The investigation also encompasses the interaction of a thin nanolayer. Our findings demonstrate that the wavelength splitting is highly influenced by the specific disk where the nanoparticle or nanolayer is located. This distinct property sets it apart from conventional coupled disks with identical features. A perturbation theory of coupled structures has also been applied to gain insights into the simulation results.