全像光學透鏡之色散像差分析

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姓名

謝茂杉(MAO-SHAN HSIEH) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

全像光學透鏡之色散像差分析
(Chromatic aberration analysis of holographic optical lens)

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至系統瀏覽論文 (2029-10-1以後開放)

摘要(中)

近年來，由於頭戴式顯示器等近眼顯示器的蓬勃發展，這些技術，包括擴增實境（AR）、虛擬實境（VR）和混合實境（MR），也應用於教育、醫療保健、訓練和娛樂等領域。人們希望利用體積全像光學元件來取代笨重的微透鏡系統，這些系統需要更大的出瞳尺寸，以適應掃描整個視場 (FOV) 的眼球運動，對此團隊做出將全像片以球面波進行記錄發展擴瞳技術的研究，但也因此衍生出獨屬全像光學透鏡之像差。
本研究針對全像光學透鏡的像差進行了深入分析，重點探討了色散效應對系統成像品質的影響。我們從理論上系統地分析了全像光學透鏡如何補償色散現象，並推導出了一個新的場曲公式，該公式專門用於描述由色散引發的全像透鏡特有的場曲現象。為驗證這一理論模型的正確性，我們設計了一系列實驗，並結合數值模擬進行了多重驗證，實驗結果與理論預測高度一致，充分證實了該公式的準確性與實用性。此研究不僅為解決全像顯示技術中的像差問題提供了理論基礎，也為未來在更大範圍內應用全像光學技術提供了重要的參考。

摘要(英)

In recent years, with the rapid development of near-eye display technologies such as head-mounted displays, these technologies—including augmented reality (AR), virtual reality (VR), and mixed reality (MR)—have been applied in fields such as education, healthcare, training, and entertainment. There is a growing interest in using volumetric holographic optical elements to replace bulky microlens systems. These systems require larger exit pupil sizes to accommodate eye movements that scan the entire field of view (FOV). To address this, research teams are developing pupil expansion technology by recording holograms using spherical waves, which consequently introduces aberrations unique to holographic optical lenses.
This study focuses on the aberration analysis of holographic optical lenses, conducting multiple verifications through theoretical analysis, experiments, and simulations.First, in Chapter 1, we elaborate on the development of holographic technology and the research motivation. Chapter 2 provides a brief overview of the experimental theory. Chapter 3 presents the theoretical calculations. Chapter 4 describes the experimental and simulation results. Finally, Chapter 5 concludes the experiments.

關鍵字(中)

★ 色散

關鍵字(英)

論文目次

摘要 I
Abstract II
致謝 III
目錄 IV
圖目錄 VI
1 第一章緒論 1
1-1 引言 1
1-2 全像術介紹 3
1-3 研究動機 5
2 第二章實驗理論簡介 6
2-1 全像術 6
2-2 布拉格條件 8
2-3 耦合波理論 10
2.4 相位疊加法 18
2.5 像差介紹 22
3 第三章實驗設計與流程 26
3-1 實驗架構 26
3-2 色散 29
3-3 場曲理論計算 34
4 第四章實驗結果 41
4-1 實驗結果 41
4-2 模擬結果 62
5 第五章結論 68
參考文獻 70
中英文名詞對照表 75

參考文獻

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指導教授

余業緯(Yeh-Wei Yu)

審核日期

2024-10-16

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