Our study focuses on numerical simulations of the coupling between a photonic crystal cavity (PCC) and spherical dielectric nanoparticle (NP) presenting an electric dipole (ED). The PCC exhibits a confined mode at a resonance wavelength of about 1600nm. Using Mie theory, the optical properties of the nanoparticle are designed (radius and optical index) so that it exhibits an ED at the same wavelength ensuring efficient coupling with the PCC. 3D-FDTD homemade codes are used to simulate this coupling by quantifying the resonance properties (wavelength and Q factor) as a function of the PCC-NP distance. The obtained behaviors are completely different for the ED case revealing the possibility to control the value of the resonance wavelength by keeping a rather large value of the Q factor. Another original study has been performed to show the influence of the lateral position of the NP on the light extraction and emission direction of the PCC in terms of 3D far-field radiation pattern.
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