Flexible design method for freeform lenses with an arbitrary lens contour

Area of Science:

• Optics and Photonics
• Optical Engineering
• Freeform Optics Design

Background:

• Designing freeform lenses with arbitrary contours presents significant challenges.
• Existing methods often lack flexibility and robustness for complex beam shaping.

Purpose of the Study:

• To present a novel, flexible, and robust method for designing freeform lenses.
• To enable the arbitrary reshaping of light beams with complex contours.

Main Methods:

• Generation of two equi-flux grids for source and target beams.
• Utilizing two separate curl-free mappings from an equi-spatial rectangular grid.
• Independent generation of source and target grids for high convergence probability.

Main Results:

• Demonstrated successful design of a triangular freeform lens.
• Reshaped a triangular beam from a Lambertian source into a uniform pentagonal irradiance distribution.
• Achieved high convergence probability for mapping complex source to target beams.

Conclusions:

• The presented method offers a flexible and robust approach to freeform lens design.
• Enables precise control over light beam shaping for arbitrary source and target contours.
• Applicable to various optical systems requiring complex irradiance distributions.