波前檢測應用於氣體折射率量測

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姓名

杜星旻(Hsing-Min Tu) 查詢紙本館藏

畢業系所

光機電工程研究所

論文名稱

波前檢測應用於氣體折射率量測

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摘要(中)

本論文提出一應用Shack-Hartmann波前檢測儀之稜鏡式氣體折射率量測系統，光路中設置三角稜鏡，稜鏡會直接接觸待測氣體，使光路因折射率不同而產生偏折，並且可以依照待測氣體之折射率範圍挑選其適合之稜鏡。根據本文所使用之光路系統，及Shack-Hartmann波前檢測架構，搭配廣泛運用於波前檢測中之澤爾尼克(Zernike Polynomials)多項式，可推算得該氣體折射率。相比於一般量測稜鏡偏轉角之氣體折射率量測系統，藉由Shack-Hartmann波前檢測儀之微透鏡陣列，可以使取樣更多且更精確地取得偏轉角及氣體折射率。

摘要(英)

The refractive index of gas plays an important part in a lot of industries. For example, determining the refractive index of gas can analyze the compound in the environment. A lot of techniques had been developed to measure the refractive indexes of gases, such as interferometry. The deviation angle of the prism is also widely used in sensing of refractive index of gas.
A Shack-Hartmann wavefront sensor is formerly known as a Hartmann wavefront sensor. It is applied to detect the aberrations of the optical lens. The aberrations of a lens can be translated into point spread function (PSF) which can also be translated into modulated transfer function (MTF) to analyze the property of the lens. The accuracy of a Shack-Hartmann wavefront sensor is restricted by the lenslet array. In recent years, with the great improvement of the process of the lenslet array, the sensitivity of Shack-Hartmann wavefront sensor was also improved.
In this research, we present a new system for measuring the refractive index of gas. The system combines with a prism to measure the refraction by the deviation angle. A Shack-Hartmann wavefront sensor is also used in this system to analyze the wavefront change resulting from the different refractive indexes.

關鍵字(中)

★ Shack-Hartmann波前檢測儀
★ 稜鏡
★ Zernike Polynomials
★ 氣體折射率

關鍵字(英)

★ Shack-Hartmann wavefront sensor
★ Prism
★ Zernike Polynomials
★ Refractive index of gas

論文目次

摘要 i
Abstract ii
誌謝 iii
目錄 iv
圖目錄 vii
表目錄 x
符號說明 xi
第1章緒論 1
1.1 研究背景 1
1.2 文獻回顧 3
1.3 研究目的與方法 5
1.4 論文架構 7
第2章原理 8
2.1 波前與光程差 8
2.2 像差 8
2.2.1 球面像差 9
2.2.2 彗差 10
2.2.3 像散 11
2.2.4 場曲 12
2.2.5 畸變 12
2.3 Zernike多項式 12
2.4 Shack-Hartmann波前檢測儀原理 14
2.4.1 量測原理 14
2.4.2 波前重建 16
2.4.3 重心法 17
2.4.4 動態範圍及靈敏度 17
2.5 剪切干涉原理(Lateral Shearing Interferometry) 18
2.6 偏振 20
2.7 直角稜鏡量測氣體折射率原理 21
第3章光學模擬與實驗架構 23
3.1 波前模擬 23
3.2 氣體折射率量測儀架構 24
3.2.1 氣體折射率量測儀之系統架構 24
3.2.2 氣體折射率量測儀之光學模擬 28
3.3 系統元件 29
3.3.1 綠光雷射 30
3.3.2 衰減片 31
3.3.3 空間濾波器 32
3.3.4 準直透鏡 33
3.3.5 波前感測器 33
3.4 系統驗證 35
3.4.1 平面波驗證 35
3.4.2 偏振態 36
第4章實驗結果與討論 38
4.1 實驗流程 38
4.2 環境空氣折射率量測 40
4.3 氮氣折射率量測 41
4.4 誤差分析 42
4.4.1 正切函數線性討論 42
4.4.2 玻璃變形 43
4.4.3 理論誤差 46
4.5 系統穩定性分析 48
4.6 焦點位移量分析 49
4.6.1 空間域焦點位移量分析 49
4.6.2 單透鏡焦點位移量分析 51
4.7 系統解析度 52
第5章結論與未來展望 54
5.1 結論 54
5.2 未來展望 54
參考文獻 56

參考文獻

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指導教授

韋安琪(An-Chi Wei)

審核日期

2022-8-18

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