Advanced geometric optics on a programmable pocket calculator
Allen Nussbaum · American Journal of Physics · 1979
An exact ray-tracing method has been developed by combining some ideas of Herzberger with the matrix approach to geometrical optics. This method, which can be implemented on a programmable pocket calculator, applies to any conic surface, including paraboloids, spheres, and planes (both refracting and reflecting) as examples. For the aspheric elements, in particular, this method is exact; iterative procedures are unnecessary.