Differential Double Blind Fourier Holography (diff-DBFH)
Abstract
High-performance optical systems, including space telescopes, require wavefront-sensing and correction capabilities to achieve resolution near the diffraction limit. Existing wavefront-sensing approaches span a broad range of architectures, but many require dedicated interferometric hardware, rely on computationally intensive nonlinear or iterative reconstruction algorithms or provide only limited wavefront information. Focal-plane wavefront-sensing methods are particularly attractive because they can operate without dedicated metrology hardware, and among these, Double Blind Fourier Holography (DBFH) stands out as a robust and computationally light alternative to nonlinear and iterative solvers. Here we introduce differential Double Blind Fourier Holography (diff-DBFH), a two-image variant of DBFH based on a small pupil-plane amplitude perturbation. Inspired by differential Optical Transfer Function (dOTF), diff-DBFH leverages the linear framework of DBFH to produce a more precise wavefront estimate. We derive the diff-DBFH formalism, compare its performance against dOTF using numerical simulations on a segmented aperture geometry inspired by the Habitable Worlds Observatory, analyze its sensitivity under noisy conditions, and demonstrate the method experimentally using an optical bench model of the same aperture.
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BibTeX
@misc{pedatzur2026differential,
title = {{Differential Double Blind Fourier Holography (diff-DBFH)}},
author = {Oren Pedatzur and David T. Chuss},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30183},
eprint = {2609.30183},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30183},
}
RIS
TY - UNPB
TI - Differential Double Blind Fourier Holography (diff-DBFH)
AU - Oren Pedatzur
AU - David T. Chuss
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.30183
UR - https://arxiv.org/abs/2609.30183
AB - High-performance optical systems, including space telescopes, require wavefront-sensing and correction capabilities to achieve resolution near the diffraction limit. Existing wavefront-sensing approaches span a broad range of architectures, but many require dedicated interferometric hardware, rely on computationally intensive nonlinear or iterative reconstruction algorithms or provide only limited wavefront information. Focal-plane wavefront-sensing methods are particularly attractive because they can operate without dedicated metrology hardware, and among these, Double Blind Fourier Holography (DBFH) stands out as a robust and computationally light alternative to nonlinear and iterative solvers. Here we introduce differential Double Blind Fourier Holography (diff-DBFH), a two-image variant of DBFH based on a small pupil-plane amplitude perturbation. Inspired by differential Optical Transfer Function (dOTF), diff-DBFH leverages the linear framework of DBFH to produce a more precise wavefront estimate. We derive the diff-DBFH formalism, compare its performance against dOTF using numerical simulations on a segmented aperture geometry inspired by the Habitable Worlds Observatory, analyze its sensitivity under noisy conditions, and demonstrate the method experimentally using an optical bench model of the same aperture.
ER -