Aspherical Lens Design by Using a Numerical Analysis
Aspherical Lens Design by Using a Numerical Analysis
Aspherical Lens Design by Using a Numerical Analysis
Gyeong-Il Kweon∗
Department of Optoelectronics, Honam University, Gwangju 506-714
Cheol-Ho Kim
Department of Information and Communication Engineering, Honam University, Gwangju 506-714
(Received 15 March 2007)
The surface profiles of four different spherical-aberration-free aspherical lenses are given as conic curves, namely a hyperbola and an ellipse. Historically known as Cartesian ovals, these lens profiles
can be obtained from Fermat’s principle. Alternatively, we have derived the surface profile from Snell’s law. The derivational procedure is physically more appealing and mathematically elegant.
The surfaces profiles of two more spherical-aberration-free aspherical lenses, which cannot be represented by conic curves, are given in terms of a semi-analytic formula. Examples of the lens profiles
are given.
PACS numbers: 42.15.E, 42.15.F
Keywords: Lens design, Optical aberration, Geometrical optics, Spherical aberration, Numerical analysis
