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CAUSTIC WAVE ABERRATION THEORY FOR GENERAL OPTICAL SYSTEMS (LENS DESIGN, MERIT FUNCTIONS).

机译：通用光学系统的因果波像差理论（透镜设计，优点函数）。

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摘要

A new theory for evaluating the image properties of an optical system has been developed, using the caustic surfaces. Within the geometrical optics limit, a generalized wave front equation has been introduced in a new form that enables one to derive an exact formula for the wave aberration function. The wave aberration function has been evaluated for specific optical systems. These results have been compared to the corresponding values calculated by the third order aberration theory. A new technique for evaluating wave aberrations has been introduced. This technique is based upon the caustic surfaces of an optical system. The caustic wave aberration function has been evaluated for optical systems and shows very good agreement with the conventional wave aberration function. A caustic merit function, which measures the spread of the caustic surfaces from an ideal image point, has been introduced to minimize the aberrations of an optical system. Evaluation of this function requires a few rays to be traced through the optical system. For the singlet and doublet lenses, the caustic merit function has been compared to the RMS blur circle radius and the third order aberration theory as a function of the system variables and the field of view. For the triplet lens, the caustic merit function has been used to optimize several lenses. The resulting systems have been evaluated for several fields of view by comparing the RMS blur circle radius, transverse and wave aberration functions to the results obtained by conventional design of a similar triplet.; The present results are encouraging and suggest that increased use of the caustic surface in optical design can improve optical performance by reducing effects of higher order aberrations. In general, this new theory, caustic wave aberration theory, represents a strong bridge between the classical aberration theory and the caustic theory in geometrical optics.
机译：利用苛性碱表面，已经开发出一种用于评估光学系统图像特性的新理论。在几何光学范围内，以一种新形式引入了广义的波前方程，该方程使人们能够为波像差函数推导出精确的公式。已经针对特定的光学系统评估了波像差函数。将这些结果与通过三阶像差理论计算出的相应值进行了比较。引入了用于评估波像差的新技术。该技术基于光学系统的苛性表面。已对光学系统评估了苛刻波像差函数，并显示出与常规波像差函数的很好的一致性。为了使光学系统的像差最小，已引入了一种苛刻度函数，该函数可测量从理想像点起的苛刻性表面的散布。对该功能的评估需要通过光学系统追踪一些光线。对于单重和双重透镜，已将碱度优值函数与RMS模糊圆半径和三阶像差理论作为系统变量和视场的函数进行了比较。对于三重透镜，苛性碱功能已用于优化多个透镜。通过将RMS模糊圆半径，横向和波像差函数与通过类似三重态的常规设计获得的结果进行比较，对所得系统进行了几个视野的评估。目前的结果令人鼓舞，并表明在光学设计中增加使用苛性碱表面可以通过减少高阶像差的影响来改善光学性能。总的来说，这种新的理论，即苛刻波像差理论，代表了经典像差理论和几何光学中苛性碱理论之间的牢固桥梁。

著录项

  • 作者

    KASSIM, ABD MOHAMAD.;

  • 作者单位

    The University of Alabama at Birmingham.;

  • 授予单位 The University of Alabama at Birmingham.;
  • 学科 Physics Astronomy and Astrophysics.
  • 学位 Ph.D.
  • 年度 1985
  • 页码 290 p.
  • 总页数 290
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 天文学;
  • 关键词

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