光電數值優化以氮化铟鎵為主的面射型雷射

Abstract

在這一篇文章中，一個以嚴格耦合波分析結合泊松擴散飄移電流以及薛丁格的模型被嘗試的去建立了，可以達到去模擬有關面射型雷射的研究，並且進一步的嘗試優化，嚴格耦合波分析在這裡是為了要模擬布拉格面鏡的反射率，整個結構下的電場，從得到的電場能再去得到量子井佔所有電場的比例，之後用這一比例可以去獲得閥值增益，之後使用泊松擴散飄移電流以及薛丁格，去得到波函數以及電子電洞的交疊以及電流，此外帶尾態這一個概念被引進了，之後得到增益，最後利用增益大於閥值增益時，會達成雷射條件，以此去獲得閥值電流，此外二維的嚴格耦合波分析以不同的極化方向得到布拉格面鏡的反射率，以及遠場圖也被建立了。

In this thesis, a RCWA module is combined with our Poisson, drift-diffusion and Schrodinger solver(1D-DDCC) to enable the capability of modeling and optimization of VCSELs. The RCWA method built into the simulation program is used to simulate the reflectivity of DBRs for different periods. When the electric field at resonance, the optical modes are obtained to calculate the gamma factor of the cavity. The confinement factor gamma is then used to calculate the threshold gain of the device. Then the Poisson, drift-diffusion, and Schrodinger solver is used to calculate eigen states, electron-hole overlap, emission spectrum and intrinsic gain. It is note that to accurately model the I-V and emission spectrum, it cannot simply use a smaller polarization value as other software did. Instead, the tail state model is used to account for the possible percolation transport due to the potential fluctuation. Finally, the threshold condition is used to get the threshold current and the lasing emission. Besides the 1D program, 2D RCWA is developed to model the emission of different angles and patterns.