光学学报, 2014, 34 (3): 0301001, 网络出版: 2014-04-08
利用恒星闪烁测量等晕角的研究
Study on the Measurement of Isoplanatic Angle Using Stellar Scintillation
摘要
利用恒星闪烁测等晕角是目前应用最广泛的等晕角测量方法。基于理论分析,引入了更准确的计算公式,通过公式推导、数值计算,得出最佳探测孔径直径与菲涅耳尺度相当,分析了复色光的闪烁等效波长及湍流路径长度变化范围的问题,讨论了等晕角与闪烁的比例系数C的计算问题。菲涅耳数在范围0.5~1.1时,比例系数随菲涅耳数的变化可用三次多项式进行拟合,比例系数不能简单地取波长位于500 nm时的固定值,需根据应用实际利用拟合的三次多项式来计算。
Abstract
Using stellar scintillation to measure isoplanatic angle θ0 is now a widely used method. Based on the theoretical analyses, more accurate calculation formula is derived. With formula derivation and numerical simulation, it shows that the best aperture diameter is around Fresnel length. Equivalent wavelength of polychromatic scintillation and range of turbulence path length are analyzed, and the calculation of proportionality factor C of θ0 and scintillation is discussed. Proportionality factor for Fresnel number in a range from 0.5 to 1.1 can be accurate fitting by cubic polynomials. Proportionality factor should not simply take a fixed value at a wavelength of 500 nm, while it should be calculated by the fitting formula in practical applications.
于龙昆, 沈红, 靖旭, 侯再红, 吴毅. 利用恒星闪烁测量等晕角的研究[J]. 光学学报, 2014, 34(3): 0301001. Yu Longkun, Shen Hong, Jing Xu, Hou Zaihong, Wu Yi. Study on the Measurement of Isoplanatic Angle Using Stellar Scintillation[J]. Acta Optica Sinica, 2014, 34(3): 0301001.