Reliability of Fisher-information bounds for dielectric metalenses: a site-resolved RCWA audit
Abstract
We assess the reliability of localization precision predicted for a 1716-nanopillar dielectric metalens using a site-resolved complex RCWA library and a vectorial Poisson Fisher model. An independent calculation reproduces the archived local axial Cramer-Rao bound of 20.7738 nm to within 0.0044 nm, yielding 20.7695 nm under the same ideal detector and 3000 detected signal photons. High-order periodic-cell calculations reveal a 0.1335 rad phase difference at a selected diameter; different substrate-index assumptions prevent attributing this difference solely to modal truncation. Replacing the recalculated coefficients at 39 actual sites changes the bound to 20.7522 nm. Restricted phase-mask benchmarks and pixel-integration checks further distinguish a stable statistical prediction from electromagnetic convergence. We provide a reproducible, model-conditional benchmark, not a physical-device performance claim.
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BibTeX
@misc{sumayamartinez2026reliability,
title = {{Reliability of Fisher-information bounds for dielectric metalenses: a site-resolved RCWA audit}},
author = {J. Sumaya-Martinez and O. Olmos-Lopez},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07077},
eprint = {2611.07077},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07077},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Reliability of Fisher-information bounds for dielectric metalenses: a site-resolved RCWA audit
AU - J. Sumaya-Martinez
AU - O. Olmos-Lopez
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.07077
UR - https://arxiv.org/abs/2611.07077
AB - We assess the reliability of localization precision predicted for a 1716-nanopillar dielectric metalens using a site-resolved complex RCWA library and a vectorial Poisson Fisher model. An independent calculation reproduces the archived local axial Cramer-Rao bound of 20.7738 nm to within 0.0044 nm, yielding 20.7695 nm under the same ideal detector and 3000 detected signal photons. High-order periodic-cell calculations reveal a 0.1335 rad phase difference at a selected diameter; different substrate-index assumptions prevent attributing this difference solely to modal truncation. Replacing the recalculated coefficients at 39 actual sites changes the bound to 20.7522 nm. Restricted phase-mask benchmarks and pixel-integration checks further distinguish a stable statistical prediction from electromagnetic convergence. We provide a reproducible, model-conditional benchmark, not a physical-device performance claim.
ER -