Ray mapping method for off-axis and non-paraxial freeform illumination lens design

Area of Science:

• Optics and Photonics
• Optical Engineering
• Illumination Design

Background:

• Freeform optics enable complex illumination designs.
• Existing ray mapping methods are limited to paraxial conditions.
• Surface normal integrability is crucial for continuous freeform surfaces.

Purpose of the Study:

• To develop a novel ray mapping scheme for freeform illumination design.
• To address limitations of existing methods in non-paraxial and off-axis scenarios.
• To achieve integrable surface normal fields for complex illumination problems.

Main Methods:

• Proposed a new mapping scheme altering initial source-target mapping.
• Utilized a symplectic flow of an equi-flux parametric coordinate system.
• Demonstrated the method with two freeform lens examples.

Main Results:

• The new mapping scheme provides integrable surface normal vector fields.
• Successfully addressed complex off-axis and non-paraxial illumination problems.
• Validated the approach through practical freeform lens designs.

Conclusions:

• The proposed ray mapping method enhances freeform illumination design flexibility.
• Enables precise control over illuminance distribution in challenging optical systems.
• Offers a robust solution for advanced optical engineering applications.