本論文主要基於波動光學原理，與由孫慶成博士所提出的VOHIL演算模型，推演出體積全像元件數值模擬模型，分析在不同參數下所對應的繞射光分佈，包含記錄介質的材料的折射率、材料厚度，紀錄光源與讀取光源等會影響繞射電場於空間的分佈的因素。 我們根據波動光學純量繞射理論與相位疊加法為基礎，引用同軸全像儲存系統的模型，提出同軸式體積全像元件光學模型，並且依據電磁波方程式，推導出當全像底片於寫入與讀取過程，在系統輸出面繞射電場的分佈，並且改寫以角度場表示其解析解。 此模型的優勢在於我們於推導過程中，紀錄光源與讀取光源為以光場分佈式作為運算基礎，對於不同光源計算上的便利性有很大的助益，簡化了運算難易度與辨識度。並且模型中考慮了會對繞射光場影響的因素，針對不同規格所設計的體積全像元件，我們可以輸入影像，觀察並比對其輸出影像差異，例如繞射位置、繞射波長對應色彩、分佈視角等影像資訊。 ;This paper bases its research on the principles of wave optics and the VOHIL model proposed by Professor Ching-Cheng Sun. It derives an optical model for volume holographic optical elements, analyzing the corresponding diffraction light distribution under different parameters, including the refractive index of the recording medium material, material thickness, recording light source, and reading light source, all of which affect the spatial distribution of the diffraction light field. Based on the scalar diffraction theory of wave optics and the VOHIL model, we establish an optical model for volume holographic elements. By using electromagnetic wave equations, we derive the distribution of the diffraction light field at the system’s output surface during the recording and reading processes of the holographic film. The advantage of the model is in using the light field distribution of recording and reading light sources as the basis for calculation, significantly aiding the convenience of calculations for different light sources. This model simplifies computational complexity, compared to the analytic expression of the function. Moreover, the model considers factors influencing the diffraction light field. For volume holographic optical elements designed with diffraction wavelength, and distribution viewing angle, providing comprehensive image information.
