TY - JOUR A1 - Bruls, George J. C. L. T1 - Exact formulas for a thin-lens system with an arbitrary number of lenses T2 - Optik N2 - We present an angular thin-lens formula giving the angle of refraction β for arbitrary values of the angle of incidence α. With this formula, we find analytical results for the focal length f of a thin-lens system. The number of lenses n and their focal lengths f1,f2,…,fn are abitrary, as are the mutual distances D12,…,D(n−1)n between the lenses. All these results are exact, i.e. not restricted to small or even paraxial angles. In the literature, the 2-lens and 3-lens versions (the last one without proof or derivation) are known [1]. We present the general result for n lenses and for (the positions of) its principal planes. KW - Geometrical optics KW - Thin lens Y1 - 2015 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/75923 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-759237 SN - 0030-4026 VL - 126 IS - 6 SP - 659 EP - 662 PB - Elsevier CY - Amsterdam ER -