臺灣博碩士論文加值系統

本論文使用繞射光學元件來產生旋轉的目標繞射光場，設計時利用角頻譜方法來計算光場的傳遞結果。因為角頻譜在純量繞射理論中，是一個無近似且有明確物理意義的方法，並且可以藉由修改及優化其傳遞函數所含的空間頻率分量，達到產生旋轉目標平面光場的目的。
由遞迴角頻譜演算法模擬出的目標圖形繞射光學元件時，輸入至反射式相位型空間光調變器，並在旋轉的觀測平面上觀察角頻譜理論應用及修正後投影結果是的正確性。由實驗結果發現，隨著所設定傳遞距離的增加，旋轉的效果會因為景深被拉長而降低，因此，在短傳遞距離(30cm)之下，旋轉的成像效果最佳；在實現0至85度的旋轉成像投影方面，並根據實驗結果可以推論出角頻譜最大可用的旋轉角度約是70~75度。
而角頻譜在旋轉目標場的應用，可以自單一的目標平面延伸至由數個多邊形組成的曲面，進而控制其光強分佈後，便能使光動力療法的治療效率提升。此外，在體積式3D顯示器以及全像式顯示器的建立，亦皆須從旋轉目標之建立為基礎，方能實現。

In the study, we used the diffractive optical elements (DOEs) to generate tilted diffractive field using an angular spectrum (AS) method to calculate the propagation results of light field. The AS has the capability of fast and exact calculation for propagating waves, especially, for the optical fields in a tilted plane by modifying and optimizing the spatial frequency component of the transfer function.
The DOEs designed by the iterative angular spectrum algorithm (IASA) successfully generate an approximate target pattern in a tilted plane using a spatial light modulator. The experimental results present that as the propagation distance is increased, the effect of rotation is reduced because the depth of field is elongated. Therefore, the best effect of image rotation is obtained for short propagation distance such as 30cm. We changed the tilted angle of the projection plane from 0 to 85 degrees, and the maximum angle of the tilted plane to obtain clear projection images occurs at 75 degrees in which the simulations were conducted using the AS method.
The application of angular spectrum in the tilted target field can be extended from a single target plane to a surface composed of a number of polygons. The intensity of the light field can be controlled such that the treatment efficiency of photodynamic therapy can be improved. In addition, the 3D image display in the volume 3D display and holographic display can also be implemented by the proposed method.

目錄
摘　要 i
ABSTRACT ii
誌謝 iv
目錄 v
圖目錄 vii
第一章 緒論 1
1.1研究背景 1
1.2角頻譜旋轉的應用 2
1.3研究動機 5
1.4論文架構 6
第二章 論文回顧 7
2.1基礎限制條件的確立 7
2.2傳遞函數的演進 8
2.3遞迴角頻譜演算法(Iterative angular spectrum algorithm, IASA)相關研究 10
第三章 角頻譜 12
3.1角頻譜的物理意義 12
2.2角頻譜的傳遞 14
2.3角頻譜的取樣問題 15
3.4角頻譜傳遞時的空間濾波 17
3.5角頻譜的旋轉目標場 19
3.6角頻譜旋轉後的能量守恆 22
3.7角頻譜傾斜光場模擬 25
第四章 模擬及實驗結果 30
4.1遞迴角頻譜演算法(Iterative angular spectrum algorithm, IASA) 30
4.2實驗架構 39
4.3 實驗拍攝結果 40
4.3.1 固定成像距離，並於各設定成像角度時的觀測 41
4.3.2 固定成像距離與角度，並於各角度下的觀測 50
第五章 結論與未來展望 57
5. 1 結論 57
5.2 未來展望 58
5.2.1 空間濾波問題 58
5.2.2 取樣問題 58
參考文獻 61

參考文獻


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