UCLA

In this thesis, the Finite-Element Method (FEM) was utilized to simulate and design the optimal nanostructures for better performances of Surface-Enhanced Raman Scattering (SERS) and lasing. FEM proved its effectiveness in the calculations of target physical models to optimize the model geometry or theoretically validate experimental observations.

In chapter 1 and 2, the fundamental theorem of SERS and photonic crystal cavity were introduced and discussed. The most used optical structures for the two effects, metal/dielectric SPP structure and dielectric photonic crystal structure, were introduced as examples. Equations stem from Maxwell equations were derived and discussed to clarify the concepts of SERS and PCC.

In chapter 3, the FEM method was carried out to simulate the SERS performance of Au nano-bowl/SiO2/Au nanoparticle structure. The electric field distributions and Raman enhancement factors of models in real experiments were calculated and analyzed theoretically. The simulation result on Raman enhancement factors showed consistency with the experimental observations.

In chapter 4, the design process of silicon nitride photonic crystal cavity was introduced and the simulation results were discussed. Using L3 geometrical model, the FEM method successfully revealed the relations between key optical properties, such as quality factor and resonant wavelength, and geometrical parameter selections. The simulations were also helpful in determination of the optimal parameter selection in L3 PCC model for further experimental fabrication.