Abstract
A fast and accurate optimization of an aspheric lens of large numerical aperture (ALLNA) is useful as a tool in optical simulation software packages. A series of analytical formulas is obtained from solving differential equations. An ALLNA with two aspheric surfaces and another one with a spherical surface and an aspheric surface are analytically optimized. A Monte Carlo method and a Newton-Raphson method are adapted to simulate an optical sensor consisting of a transmitting and a receiving sensor head. The transmission characteristics and other optical simulations from these two methods are in good agreement with each other as well as with experimental results. The optimized ALLNA with minimum power losses and minimum angle of divergence is significant for high performance optical collimator lens cap design. Optimization and simulation of ALLNA provides an important contribution to the design of advanced sensor heads and the development of optical range finders, e.g., the transmission characteristics are a crucial factor for sensor pre-amplifier circuitry design.
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