本論文主要是由傅立葉光學的角度來分析物體光、光學系統與影像平面之間的關係，探討調變轉換函數MTF(Modulation　Transfer　Function)的產生，並導出它的數學模型與其物理意義。

　　MTF是評估光學系統效能的一個重要指標，在本論文中將說明MTF測試圖形與其MTF圖所代表的意義，並以傅立葉光學中的各種數學定理來描述光的行進與其通過光學系統後的繞射情形，在不同情況下MTF的量測與計算都會有所不同，本論文也將對此提出討論。

　　在本論文中，吾人將利用瞳孔函數(Pupil function)來說明MTF的產生與其計算方法，並以光束追跡法對光學系統上的光線進行追蹤，求得影像平面上的斑點圖(Spot diagram)，以此來計算線擴散函數(Line spread function)的光強分佈情形，進而求出此光學系統的MTF值。

　　The　purpose　of　this　paper　is　to　analysis　the　relationship　of　object　light, optical　system　and　image　by　Fourier optical.We　will　discuss　the　produce　of　Modulation　Transfer　Function,　and　derive　MTFmathematic　model　and　its　physical meaning.

　　MTF　is　an　important　norm　of　optical system　efficiency.　In　this　paper,　we　will explain　MTF　test　patterns　and　the　meaning of　MTF　graph,　and　use　several　mathematic theorems　to　describe　rays'　advance　and　the diffraction　condition　after　rays　through　optical　system.　In different　conditions, 　　measurement　and　count　of　MTF　are　different;we　will　discuss　that　in　this paper,　too.

　　In　this　paper,　we　will　use　pupil function　to　explain　how　MTF　produce　is　and　its　count　methods,　we　also　use ray　tracing　to　trace　rays　of　optical　system and　get　the　spot　diagram　of　image　plane.　We will　use　spot　diagram　to　count　line　spread　function,　then　we　can　get　the　MTF　of optical　system.

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