An Introduction to Dynamic Optical Optimization

In this paper, we introduce an optical objective function in order to obtain the optimized image of a dynamical object by an optical instrument having a variable zooming range. To be precise, about a given fixed point of the focal length of a single lens, mirror or an extended optical instrument, the local stability of the image thus formed is characterized by the positivity of pure correlation components of the fluctuation matrix. On the other hand, the corresponding global stability of the image is characterized by the positivity of the determinant of the fluctuation matrix. We also observed that converging and diverging lenses and mirrors show a clear cut distinction about the line of unit lateral magnification. Industrial applications of our proposed optical objective function are anticipated to enhance quality of the lenses, mirrors and their combinations.