偏振相机的透明元件应力测量

Stress measurement of transparent elements based on polarized camera

  • 摘要: 应力检测对光学元件的制造和使用意义重大。基于应力双折射原理,提出了一种利用偏振相机测量应力分布的方法。根据Stokes矩阵和Mueller矩阵推导出应力值及应力方向计算公式,并对影响系统测量精度的主要误差进行了理论分析。为验证方法的可行性,搭建了一台测量应力分布的装置。使用该装置测量一块633 nm的四分之一波片,测得其误差为0.86 nm。进一步测量,得出一块车灯透镜的全场应力相位延迟量与应力方向图,利用所测相位延迟量计算出透镜中心区域的应力双折射值为9.21 nm/mm、主应力差为2.45 MPa;利用符号规则调整了透镜的应力方向,结果符合应力连续性原则。该方法测量应力分布时无需旋动光学元件,可实现应力延迟量及应力方向的实时测量。

     

    Abstract: The stress measurement is of great significance for the manufacture and use of optical elements. Based on the principle of stress birefringence, a method to measure the stress distribution by polarized camera was proposed. The stress value and calculation formulas of stress direction were derived from Stokes matrix and Mueller matrix, and the main errors affecting the measurement accuracy of the system were analyzed theoretically. In order to verify the feasibility of the method, a device for measuring the stress distribution was constructed. A quarter wave plate of 633 nm was measured by this device, and the error was 0.86 nm. The full-field stress phase retardation and stress direction diagrams of headlight lens were obtained by further measurement. The measured phase retardation was used to calculate the stress birefringence value of central region of the lens of 9.21 nm/mm and the principal stress difference of 2.45 MPa. The symbolic rules were used to adjust the stress direction of the lens, and the results accorded with the principle of stress continuity. This method measures the stress distribution without rotating the optical elements, which can realize the real-time measurement of stress retardation and stress direction.

     

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