This paper compares the numerical results for the induced electric field, the specific absorption rate (SAR), and the corresponding temperature increase, in two detailed models of the human eye. The first model features the human eye placed in the free space, while the second one incorporates the eye model in the realistic head model obtained from the magnetic resonance imaging (MRI) scans. The electromagnetic model is based on the hybrid FEM/BEM formulation for the biological tissue while the thermal dosimetry model is based on the bioheat equation solved using the finite element method. The preliminary analysis showed the similar distribution of the induced electric field along the pupillary axis obtained in both models, however, the numerical results for the SAR and related temperature increase showed discrepancy between the two models, which can be attributed to the high values of induced field in the corneal and scleral regions obtained in the compound eye model.