【摘要】 在测量透镜焦距的实验中,透镜倾斜是导致焦距测量误差的因素之一.由于透镜的倾斜导致测得的物距和像距不是真实的物距和像距,然后代入成像公式计算出的焦距值,必然严重偏离透镜的实际焦距值.文中推导出了透镜的焦距测量误差与物距及透镜的倾斜角二者之间的函数关系式,从理论上分析了焦距测量误差随物距和倾斜角的变化规律.结果表明:大物距情形比小物距情形的焦距测量误差要小,并且得到了实验验证.更多还原

【Abstract】 In the process of measuring lens focal length,lens tilt is one of the factors for the focal length measuring error.Because the object distance and image distance are not real resulted from the slant lens.Then the value of focal length calculated by the imaging formula must seriously deviates from the actual value of the focal length of lens.This paper deduced the measurement error formula of focal length and the function relationship between the object distance and lens slant angle.Theoretically the changing rule of the focal length measurement error are analyzed as a function of object distance and angle.The results show that the measurement error is smaller for the large object distance than the small one,which has been supported by experimental verification.更多还原