Designing double freeform surfaces for collimated beam shaping with optimal mass transportation and linear assignment problems

Abstract

We propose a method for designing refractive optical elements for collimated beam shaping. In this method, the problem of finding a ray mapping is formulated as a linear assignment problem, which is a discrete version of the corresponding mass transportation problem. A method for reconstructing optical surfaces from a computed discrete ray mapping is proposed. The method is suitable for designing continuous piecewise-smooth optical surfaces. The design of refractive optical elements transforming beams with circular cross-section to variously shaped (rectangular, triangular, and cross-shaped) beams with plane wavefront is discussed. The presented numerical simulation results confirm high efficiency of the designed optical elements.

11 pages, 6 figures

References in corpus (1)

• Ray mapping approach in double freeform surface design for collimated beam shaping beyond the paraxial approximation

Cited by in corpus (2)

• Gradient descent-based freeform optics design using algorithmic differentiable non-sequential ray tracing
• Compact freeform illumination design by deblurring the extended sources