Freeform geometrical optics II: from parametric representation to CAD/CAM

Fabrication of Freeform Optics

Freeform surfaces on optical components have become an important design tool for optical designers. Non-rotationally symmetric optical surfaces have made solving complex optical problems easier. The manufacturing and testing of these surfaces has been the technical hurdle in freeform optic’s wide-spread use. Computer Numerically Controlled (CNC) optics manufacturing technology has made the fabr...

Manufacturing and measurement of freeform optics

Freeform optics is the next-generation of modern optics, bringing advantages of excellent optical performance and system integration. It finds wide applications in various fields, such as new energy, illumination, aerospace and biomedical engineering. The manufacturing of freeform optics is an integrated technology involving optical design,machining,moulding,measurement and characterization. Th...

Matrix Methods in Geometrical Optics

As well as the geometrical methods used for solving lens problems, and locating the size and position of images in optical systems, there is an alternate, perhaps more versatile, method involving matrix manipulation. Many of you will be familiar with the use of simple 2x2 matrices. Firstly, however, before I consider the use of matrices in optics, I will review the matrix solution of two simult...

Electromagnetic Scintillation I. Geometrical Optics

Multiphase Computations in Geometrical Optics

In this work we propose a new set of partial diierential equations (PDEs) which can be seen as a generalization of the classical eikonal and transport equations, to allow for solutions with multiple phases. The traditional geometrical optics pair of equations suuer from the fact that the class of physically relevant solutions is limited. In particular, it does not include solutions with multipl...