Abstract
In this thesis, we utilized the finite-difference-time-domain (FDTD) method to design a cross-coupled distributed bragg reflector (DBR) cavitie applied for hybrid lasers made on silicon waveguides. This cross-coupled DBR cavity consists of two pairs of DBR mirrors; one is fabricated on the silicon waveguide and the other is employed on the top and bottom of the waveguide, respectively. The top DRB mirror is made by III-V active layers. In order to guarantee light cross-resonating inside the cavity, a second-order grating on the silicon waveguide was designed first and optimized to have ideal orthogonal wave coupling between the two DBR pairs. Second, a parameter scanning was conducted to find an optimal distance between the first- and the second-order gratings on the waveguide. Also, the gap spacing between the silicon waveguide and the III-V DBR mirror was examined. Finally, we concluded that the quality factor, resonant wavelength, photon lifetime, and mode profile of the cavity could be a function of the gap spacing. A mode hopping effect was also observed.