臺灣博碩士論文加值系統

四分之一波板延遲量精確性關係光彈應力參數量測結果的正確性甚巨，本文針對常見之七種偏光相移法進行系統誤差分析，充分掌握四分之一波板在不同波長條件使用下，延遲量誤差對光彈量測參數的誤差影響程度。隨著波板誤差越大，相移法對主應力角與主應力差造成之誤差也隨之越大，於Patterson的圓偏六步時，在波板誤差為10°情況下，在主應力角為0°時，隨著主應力差之不同，其主應力角之最大誤差量甚之可高達45°，誤差程度超越了100%。而在主應力差方面，當主應力差為0°或±180°時，隨者主應力角之不同，其最大誤差可高達30°左右，由此可見波板誤差對偏光相移法之影響程度。

The accuracy of parameters from photoelasticity gauging is greatly influenced by the accuracy of retardation from quarter wave plate. In this paper, we use seven different types of phase shift methods to analyze the error; we then are able to control the degree of retardation error, which causes parameter error from photoelasticity, under quarter wave plate in different wavelength. We noticed that, under implementation of phase shifting methods, with more errors we retrieve from wave plates, greater differences from the principal stress angle to principal stress difference would reveal. For example, in six-step phase shifting technology which is proposal from Patterson when the wavelength error is ten degree and the principal stress angle is zero degree, with the difference of principal stress difference, the inaccuracy of principal stress angle can reach to its highest level as forty-five degrees. In percentile, the error extend is even more than a hundred presents. On the other perspective, when the principal stress difference is 0 degree or ±180°, with the difference of principal stress angle, its error can reach to its highest level as 30 degrees. With these examples, we can know that there is important relationship between wave plate errors and polarization shifting algorithm method.

誌謝 i
摘要 ii
Abstract iii
目錄 iv
圖目錄 vi
表目錄 x
第一章 緒論 1
1-1 研究背景與目的 1
1-2 相關文獻與發展 2
1-3 研究動機 3
第二章 波板誤差對不同相移法之影響與說明 5
2-1六步圓偏(左旋) 6
2-2 圓偏六步(左旋及右旋) 13
2-3圓偏四步 19
2-4瞬時四場 24
2-5圓偏七步 28
2-6 Barone半圓偏六步 33
2-7 Jaronski半圓偏六步 38
第三章 波版誤差對時間域展開之影響 44
3-1主應力差時間域展開 44
3-2 波版誤差對主應力差時間域展開之影響 45
3.2.1圓偏六步 46
3.2.2圓偏六步(左旋及右旋) 51
3.2.3半圓偏六步 55
第四章 實驗驗證 60
4-1 實驗設備 60
4-2 不同相移法所求取出之主應力角與時間域展開比較 61
4.2.1 圓偏六步 62
4.2.2 圓偏六步(左旋及右旋) 65
4.2.3 圓偏七步 67
4-3 討論 70
第五章 結論 72
附錄一 75
全文完 79

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