Optimal design of an optical lens

DOI10.1007/BF00275875zbMath0634.35063OpenAlexW1966389204MaRDI QIDQ1096796

Avner Friedman, John Bryce McLeod

Publication date: 1987

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00275875

zbMATH Keywords

existenceuniquenessfixed point theoremnonlinear functional differential equationslocal solutionanalytically extendedFermat principle of least timeoptical lens

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Partial functional-differential equations (35R10) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric optics (78A05)

Related Items (6)

An optical lens for focusing two pairs of points ⋮ Functional differential equations for the determination of the viscosity function in a rheometer ⋮ On the existence of dichromatic single element lenses ⋮ Freeform lens design for scattering data with general radiant fields ⋮ A lens focusing light at two different wavelengths ⋮ Aspherical Lens Design and Imaging

Cites Work

• On a numerical minimization problem for a new class of nonlinear partial differential equations arising in nonspherical geometrical optics and beamforming lenticular antennas
• Successive Approximation and Expansion Methods in the Numerical Design of Microwave Dielectric Lenses
• On a Multiple Boundary Value Problem in Generalized Aplanatic Lens Design and its Solution in Series

This page was built for publication: Optimal design of an optical lens