Non-imaging metasurface design for collimated beam shaping

TL;DR

This paper introduces a phase-design method for metasurfaces to shape collimated beams into desired intensity profiles using optimal transport theory, enabling efficient and versatile non-imaging beam shaping.

Contribution

It establishes a theoretical framework connecting non-imaging optics with metasurface design, enabling precise control of beam profiles through phase manipulation.

Findings

The method achieves efficient redistribution of beam energy.

It accommodates diverse input and output intensity profiles.

Full field simulations verify the phase-design approach.

Abstract

Non-imaging optical lenses can shape the light intensity from incoherent sources to a desired target intensity profile, which is important for applications in lighting, solar light concentration, and optical beam shaping. Their surface curvatures are designed to ensure optimal transfer of energy from the light source to the target. The performance of such lenses is directly linked to their asymmetric freeform surface curvature, which is challenging to manufacture. Metasurfaces can mimic any surface curvature without additional fabrication difficulty by imparting a spatially-dependent phase delay using optical antennas. As a result, metasurfaces are uniquely suited to realize non-imaging optics, but non-imaging design principles have not yet been established for metasurfaces. Here, we take an important step in connecting non-imaging optics and metasurface optics, by presenting a phase-design method for beam shaping based on the concept of optimal transport. We establish a theoretical framework that enables a collimated beam to be redistributed by a metasurface to a desired output intensity profile. The optimal transport formulation leads to metasurface phase profiles that transmit all energy from the incident beam to the output beam, resulting in an efficient beam shaping process. Through a variety of examples, we show that our approach accommodates a diverse range of different input and output intensity profiles. Last but not least, a full field simulation of a metasurface has been done to verify our phase-design framework.