雷射系統中同調波的模態形成

Abstract

隨著半導體製程技術的進步，大面積的面射型雷射(VCSEL)已成為一良好的工具來研究彈子球的問題，在這裡假設彈子球的能量不會減少，且和邊界的碰撞皆為彈性碰撞。在古典的世界裡，彈子球因邊界的不同可以概分為兩類，其一為規則的系統，其典型代表是方形彈子球，另一個則是混沌的系統，典型的代表則是操場彈子球；彈子球在這兩種不同邊界中的古典表現是大不相同的，而面射型雷射則提供了一個工具來讓我們去瞭解微觀的世界，而本篇論文主要就是利用我們所知的理論來探討所觀察到的實驗現象。

The big area VCSEL has be a good tool to study billiards problems with the progress of semiconductor technology. Assume that the energy of billiards will not loss and billiards collide boundary is elasticity. In classical world, billiards can divide into two kinds because of boundary. First is regular system and square billiards is typical. The other is chaotic system and stadium billiards is typical. The classical behaviors of billiards in these two different boundaries are quite different and VCSEL provide us a tool to understand microscopic world. In the thesis, we use the theory that we know to study the phenomenon observed in experiments.