Year: 2024
Type: article
Abstract: In geometrical optics, in a system of two thin coaxial lenses, there are several standard formulas, including āšš=ššš+šššāš
ššššā. The purpose of this paper is to generalize these formulas to the case of a system of an arbitrary number of thin lenses. In particular, this paper proves that the focal length Fn of a system of n thin coaxial lenses is given by ššš=Ī£{(āš)šĪ [(Ī£šššššššš=ššāš+š š=šš<šš<āÆ<šš<šš+š=š;š
š=š )š
šš]š+šš=š}šāšš=š, where, fr is the focal length of the rth lens, and dr is the distance between the rth lens and (r+1)th lens. For a fixed value of m, all combinations of values of the aās (satisfying the condition ā0 = a0 < a1 < ā¦ < am < am+1 = nā) are taken in the inner sum.
Authors: Burlington, Ontario, Canada., Mohamed Imteaz Karimullah
Institution: University of Vermont
Language: English
Subfield: Biomedical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4403847271