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PreprintarXiv licencearXiv

Gerchberg-Saxton Optimized Silicon Metasurface for Sinusoidal Structured-Light Three-Dimensional Imaging

Abstract

Three-dimensional (3D) optical imaging based on structured illumination has attracted considerable attention in applications including machine vision, robotics, and computational sensing. However, conventional structured-light systems generally rely on bulky projection components, such as digital micromirror devices and diffractive optical elements, which limit system miniaturization and integration. Here, we demonstrate a compact structured-light 3D imaging platform enabled by a silicon dielectric metasurface operating at a near-infrared wavelength of 940 nm. The desired sinusoidal fringe illumination is encoded into the metasurface through a Gerchberg-Saxton (GS) phase optimization algorithm, which converts the target far-field distribution into a nanoscale phase profile and subsequently into silicon nanopillar geometries. The fabricated metasurface generates high-quality sinusoidal structured illumination, which is integrated with a four-step phase-shifting reconstruction method to recover 3D object profiles. The proposed approach provides a compact and scalable solution for miniaturized structured-light projection and optical 3D sensing.

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BibTeX
@misc{ye2026gerchbergsaxton,
  title = {{Gerchberg-Saxton Optimized Silicon Metasurface for Sinusoidal Structured-Light Three-Dimensional Imaging}},
  author = {Gengyuan Ye and Shuming Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26956},
  eprint = {2610.26956},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26956},
}
RIS
TY  - UNPB
TI  - Gerchberg-Saxton Optimized Silicon Metasurface for Sinusoidal Structured-Light Three-Dimensional Imaging
AU  - Gengyuan Ye
AU  - Shuming Wang
PY  - 2026
DA  - 2026/10/18
PB  - arXiv
DO  - 10.48550/arxiv.2610.26956
UR  - https://arxiv.org/abs/2610.26956
AB  - Three-dimensional (3D) optical imaging based on structured illumination has attracted considerable attention in applications including machine vision, robotics, and computational sensing. However, conventional structured-light systems generally rely on bulky projection components, such as digital micromirror devices and diffractive optical elements, which limit system miniaturization and integration. Here, we demonstrate a compact structured-light 3D imaging platform enabled by a silicon dielectric metasurface operating at a near-infrared wavelength of 940 nm. The desired sinusoidal fringe illumination is encoded into the metasurface through a Gerchberg-Saxton (GS) phase optimization algorithm, which converts the target far-field distribution into a nanoscale phase profile and subsequently into silicon nanopillar geometries. The fabricated metasurface generates high-quality sinusoidal structured illumination, which is integrated with a four-step phase-shifting reconstruction method to recover 3D object profiles. The proposed approach provides a compact and scalable solution for miniaturized structured-light projection and optical 3D sensing.
ER  -