Currently, in the field of optical design, there is great interest in assessing the complexity of an optical system prior to its actual design. In this paper, we propose a method that can estimate complexity by predicting the number of optical surfaces in a lens required to achieve diffraction-limited image quality. We show that it is sufficient to select the proper number of pupil points, field, and wavelength range to estimate aberration values at the design stage. Each control point corresponds to a ray passing through the optical system. The coordinates of the intersection of the input ray with the image plane are a function of the input ray and the parameters of the optical system. Thus, we can construct a system of equations from the functions of each control point. A solution exists when the number of variables (design parameters) is equal to the number of equations (control points). The basic idea is to determine the required number of control points of the field, pupil, and wavelength range, which gives us the number of design parameters. We have plotted empirical diagram for common combinations of focal length (F'), F-number (F#), field-of-view (FOV), and wavelength range. This information can be used to determine the desired number of control points and therefore to assess the complexity of the optical system being designed. Taking into account the geometric constraints and the variety of optical materials, the result of this method cannot be final, but it can be considered as a preliminary estimate of the complexity of the optical system.
|