Collimating lenses working with light emitting diodes are widely used in many fields and may also be applied as a basic lens shape for various design tasks. M the initial stages of the optical design, it is important to be able to evaluate the potential properties of the design; for the collimating lens it is the residual divergence angle. In many cases, existing methods for designing illumination systems require much computational work and give no opportunity to understand the possible collimating properties of a system. The method presented is based on the idea of splitting the beam into several zones and applying the aberration theory. It provides a clear understanding of how to choose or to construct a starting point for further design of a collimating system working with light emitting diodes and evaluate its collimation properties. (C) 2021 Optical Society of America
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