鮑爾透鏡之鏡頭設計與物理光學之詮釋

Abstract

本篇論文主要的目的在於研究鮑爾透鏡作為雷射整型元件的特性，並提出新的設計以及由波光學出發詮釋其可作為雷射整型元件之原因。整型目的在於將雷射光之高斯強度分佈整型為高均勻性之強度分佈，並把圓形對稱之形狀改變為具有邊界定義之線形。我們設計了針對高功率雷射應用的單透鏡，並提供更佳的均勻性以及明確之邊界定義。實驗上，我們驗證了商用的鮑爾透鏡與模擬之可靠度，用以說明設計之透鏡具有實現性。除了用幾何光學的概念說明整型之原理外，我們也分析雷射光源入射至透鏡內的物理光學，說明了透鏡提供邊界定義及均勻性之原因，並用模擬軟體驗證。

The major concern of this thesis is to explore the Powell lens in application to laser beam shaping, its design and wave-optical interpretation. The objective of beam shaping is to reshape the Gaussian distribution into a uniform distribution, where the circular shape of laser beam is changed to linear shape with well-defined boundary. We consider a lens design in providing better uniformity and clear boundary. Furthermore, we experimentally verify commercially available Powell lens with simulation to which ensure the reliability of the ASAP. We also provide san interpretation of wave optics to show how the lens with excellent uniformity as well as well-defined boundary.