Double-Freeform Lens Design for Angular-Spatial Control of Light Fields

📅 2026-04-01
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🤖 AI Summary
This work addresses the challenge of simultaneously and precisely controlling both the angular and spatial distributions of light within a single, compact optical element, thereby eliminating the need for complex multi-lens systems. The authors propose a novel single-lens design methodology based on the co-optimization of two freeform surfaces, which, for the first time, enables joint manipulation of angular and spatial light fields to achieve target irradiance distributions on two distinct receiver planes concurrently. Built upon an extended caustic design framework, the approach integrates dual-plane-constrained freeform surface modeling with numerical optimization, significantly enhancing system compactness and optical efficiency. Simulation results demonstrate that the proposed method achieves stable, high-fidelity light-field control, delivering performance comparable to that of conventional multi-component optical systems.
📝 Abstract
Precise simultaneous control of both angular and spatial light-field distributions remains a longstanding challenge in optical design, often requiring complex multi-element configurations. In this work, we propose a compact single-lens solution that achieves unified angular-spatial modulation through the co-optimization of double freeform surfaces. The problem is formulated as an extended caustic design that enforces prescribed irradiance patterns on two distinct receptive planes, where the dual-plane constraint implicitly defines the directional characteristics of the light field while preserving spatial accuracy. This framework eliminates the need for auxiliary optical components while delivering performance comparable to that of conventional multi-lens systems. Comprehensive numerical simulations verify the method's effectiveness, demonstrating accurate and stable control of both angular and spatial light-field properties. The proposed approach establishes a practical foundation for compact, high-performance optical systems and provides a promising route toward integrated angular-spatial light-field engineering.
Problem

Research questions and friction points this paper is trying to address.

light-field control
angular-spatial modulation
freeform optics
caustic design
compact optical system
Innovation

Methods, ideas, or system contributions that make the work stand out.

double freeform surfaces
angular-spatial light-field control
caustic design
single-lens system
co-optimization
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