Abstract:Based on the operating principle of an interferometric absolute gravimeter, a deviation of the measured gravitational acceleration value introduced by Gaussian laser beam is analyzed. And then a practical method, 90/10 knife-edge method, to measure the beam waist radius for diffraction correction is presented and the relative value of diffraction correction is obtained. Experimental results indicate that the beam waist radius is 1.1586mm and the relative value of diffraction correction is 7.56×10-9. The solution to determine diffraction correction applies to every interferometric absolute gravimeter.
[1]van Westrum D, Niebauer T M. The diffraction correction for absolute gravimeters [J]. Metrologia, 2003, 40: 258-263.
[2]Niebauer T M, Sasagawa G S, Faller J E, et al. A new generation of absolute gravimeters [J]. Metrologia, 1995, 32: 159-180.
[3]Brown J M, Niebauer T M, Klingele E E. Towards a Dynamic Absolute Gravity System [C]//In Gravity, Geoid and Geodynamics 2000. Proceeding of the GGG2000 IAG International Symposium Banff, Canada, 2001:223-228.
[4]Lennart Robertsson. On the diffraction correction in absolute gravimetry [J]. Metrologia, 2007, 44: 35-39.
[5]蔡伯荣, 魏光荣. 激光器件[M]. 长沙: 湖南科学技术出版社, 1981: 38-39.
[6]熊小华. 刀口法测量高斯光束腰斑大小实验设计[J]. 南昌航空工业学院学报(自然科学版), 2000, 14(3): 73-75.
[7]杨晓冬, 邵建新, 廖生鸿, 等. 刀口法测量高斯光束光斑半径研究[J]. 激光技术与应用, 2009, 39(8): 829-832.
[8]Bilger T H, Habib R. Knife-edge scanning of an astigmatic Gaussian beam [J]. Applied Optics, 1985, 24(5): 686-690.
[9]Cherri A K, Awwal A A S, Karim M A. Generalization of Ronchi, sinusoidal, and triangular nulings for Gaussian-laser-beam-diameter measurements [J]. Applied Optics, 1993, 32(13):2235-2242.
[10]Dickson L D.Ronchi ruling method for Gaussian beam diameter[J].Optical Engineering,1979,18 (1): 70-75.
[11]姚昆, 侯碧辉, 张增明,等. 散斑位移法测量激光高斯光束的空间分布[J]. 强激光与粒子束. 2000, 12(2): 141-144.
[12]樊心民, 郑义, 王冠军, 等. 90/10刀口法测量高斯激光光束束腰的两种计算方法[J]. 应用激光,2008, 28(2): 139-141.
[13]樊心民, 郑义, 孙启兵, 等. 90/10刀口法测量激光高斯光束束腰的实验研究[J]. 激光与红外, 2008,38(6): 541-543.
[14]Beam Propagation Analyzer Operator's Manual Version 3.0[Z]. Operating Controls and Displays,1999,3-27.