Abstract
We present an effective numerical scheme to compute, to any desired degree of accuracy, the shape of a symmetric lens of unit radius with given index of refraction and prescribed foci on the axis of symmetry. When the right focus is fixed at infinity there is a minimal focal length for the left focus. The scheme converges when the left focus is not too near the minimal focal distance. Interesting phenomena occur when the left focus is very close to the minimal focal length.
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© 1991 Kluwer Academic Publishers
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Hill, C.D., Susskind, P., Giambalvo, V. (1991). Effective Computation of the Symmetric Lens. In: Spigler, R. (eds) Applied and Industrial Mathematics. Mathematics and Its Applications, vol 56. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1908-2_30
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DOI: https://doi.org/10.1007/978-94-009-1908-2_30
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7351-6
Online ISBN: 978-94-009-1908-2
eBook Packages: Springer Book Archive