光学学报, 2009, 29 (3): 676, 网络出版: 2009-03-17
格兰-泰勒棱镜空气隙厚度的测量
Measurement of Air-Space Thickness of Glan-Taylor Prisms
物理光学 空气隙厚度 干涉 偏光棱镜 高斯光束 physical optics air-space thickness interference polarizing prisms Gaussian beam
摘要
为了测量格兰-泰勒棱镜空气隙的厚度,分析了棱镜对单模高斯光束的影响。结果表明,经过棱镜后的透射光强随着光束在棱镜端面上的入射角变化呈现周期性的振荡,且振荡特性与入射光的波长、光强分布特性、棱镜结构角及空气隙的厚度有关。对于给定波长的入射单模高斯光束,由于棱镜的结构角在棱镜胶合之前可以精确测得,所以通过分析这种振荡特性便可以得出棱镜空气隙的厚度。据此设计实验,测出了透射光强随入射角的周期性变化关系。利用计算机编程,间隔改变0.0001 mm作为理论计算中的空气隙厚度的取值。计算实验测得的透射光强振荡周期与理论计算值的相对偏差的平均值,对于样品棱镜,当该值为4.35%时取值最小,此时对应的空气隙厚度为0.0143 mm。
Abstract
In order to measure the air-space thickness of Glan-Taylor prisms, effects of prisms on the single-mode Gaussian beam were analyzed. The result indicates that the transmitted beam light intensity shows periodical oscillation with change of incident angles on the prism’s end face. And the characteristics of the oscillation is related to the incident light wavelength, beam intensity distribution, prism structure angle and air-gap thickness. For the incident single-mode Gaussian beam with given wavelength, the structure angle can be measured exactly before the prism is agglutinated, so the air-gap thickness can be measured by analyzing the characteristics of the oscillation. The experiment is designed, and the periodical oscillation characteristics are measured. Using the computer program, average relative deviation of the experimental oscillating period measured and the theoretical one was calculated by changing the air-space thickness in theoretical calculation with the interval of 0.0001 mm. For the sample prism, the minimum average relative error is 4.35%, and the air-space thickness is 0.0143 mm.
王涛, 吴福全, 马丽丽. 格兰-泰勒棱镜空气隙厚度的测量[J]. 光学学报, 2009, 29(3): 676. Wang Tao, Wu Fuquan, Ma Lili. Measurement of Air-Space Thickness of Glan-Taylor Prisms[J]. Acta Optica Sinica, 2009, 29(3): 676.