The Nonlinear Optics In Parabolic Quantum Dots

Nonlinear optics is a new subject associated with the foundational and applied. After the invention of the laser, nonlinear optics is developed quickly and many nonlinear optical phenomena have been observed. With the further studies on the theories and experiments, many nonlinear optical effects have been applied widely in many scientific fields. After the essence of all kinds of nonlinear optical phenomena has been known through long-range theoretical and experimental studies. Nowadays, our researches are being-focused on searching and composing the nonlinear optical materials with special function. The ideal nonlinear optical materials require very large nonlinear optical susceptibility, small threshold power and very fast response time. A large number of researches have shown that the low dimensional semiconductor materials are one of the ideal nonlinear optical materials. So the nonlinear optical effects in low dimensional semiconductor materials, such as quantum wells, quantum wires, quantum dots, become an important research content in nonlinear optical fields. The dissertation presents a investigation into the nonlinear optical effects on quantum dots and which is organized in three main parts.In the first part of the dissertation, optical rectification in spherical quantum dots is studied. Firstly, the expressions of the wavefunctions and eignenergies are obtained by solving the schrodinger equation with effective-mass approximation. Secondly, the analytic formulas for optical rectification is derived by using the compact-density-matrix approach and iterative method. Finally, the numerical results are presented for typical GaAs/AlGaAs quantum dots.In the second part of the dissertation, second harmonic generation in spherical quantum dots is studied. The analytic formulas for the second harmonic generation is derived by using the compact-density-matrix approach and iterative method. Finally, the numerical results are presented for typical GaAs/AlGaAs quantum dots.In the third part of the dissertation, third harmonic generation in spherical quantum dots is studied. The analytic formulas for the third harmonic generation is derived by using the compact-density-matrix approach and iterative method. Finally, the numerical results are presented for typical GaAs/AlGaAs quantum dots.