本論文將分成兩個部分進行探討，第一部份是在單晶有機鈣鈦礦(MAPbI3)的耳語廊模態(WGM)腔體內，利用微米雷射光點之光致螢光的方法來得知波長與折射率的關係；我們發現在長波長的範圍中，腔體內存在TM-quasi-WGM的模態，並推導出在微米晶體內的Sellmeier之色散方程式。

第二部分一樣是利用微米雷射光點之光致螢光(u-PL)來比較有機鈣鈦礦薄膜、無機鈣鈦礦(CsPbI3)薄膜與微米球的雷射特性，例如: 雷射壽命、閾值和品質因子等等。我們觀測到無機奈米球具有非常長的雷射壽命，且閾值非常低。同時，我們在無機鈣鈦礦奈米球的螢光光譜內，發現有單模雷射的產生，並計算其邊模抑制比來判斷其單模的品質；另外，為了進一步了解奈米球的其他光學特性，我們也有估算其特徵溫度和探討尺寸大小與閾值的關係。最後，利用不同收光角度來證明無機鈣鈦礦薄膜雷射的機制是來自於隨機雷射。

This study is divided into two parts. In the first part, we report on the wavelength dependence of the refractive index near resonant range from a single well-faceted MAPbI3 perovskite microcavity with quasi-whispering-gallery-mode (quasi-WGM) by using micro-photoluminescence (µ-PL) technique. The observed cavity modes are well matched to TM polarization quasi-WGM in long wavelength side. We also deduced a Sellmeier’s dispersion function for the perovskite single microcrystal.

The second part, we investigate the lasing behaviors from CH3NH3PbI3 (MAPbI3) thin films, CsPbI3 thin films as well as individual CsPbI3 micro-spheres. We observed CsPbI3 micro-spheres with WGM cavity have the best lasing performance among these three structures. Furthermore, single-mode lasing was achieved in individual CsPbI3 micro-spheres. We deduce the side- mode suppression ratio to evaluate the performance of the single-mode laser. We also estimate the lasing characteristic temperature and the relation between crystal diameter and lasing threshold. At last, we employed the emission angle-dependent PL to verify the underlying lasing mechanism of CsPbI3 thin film for random lasing.

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