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Main Authors: Hu, Chao-Ning, Xin, Jun, Lu, Xiao-Ming
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.04350
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author Hu, Chao-Ning
Xin, Jun
Lu, Xiao-Ming
author_facet Hu, Chao-Ning
Xin, Jun
Lu, Xiao-Ming
contents High-resolution array detectors are widely used in single-particle tracking, but their performance is limited by excess noise from background light and dark current. As pixel resolution increases, the diminished signal per pixel exacerbates susceptibility to noise, degrading tracking accuracy. To overcome this limitation, we use spatial-mode demultiplexing (SPADE) as a noise-robust approach for estimating the motion characteristics of an optical point-like source. We show that SPADE efficiently concentrate the information into a few key spatial modes, drastically reducing the number of detectors while maintaining high estimation precision. Furthermore, we enhance the robustness of the estimation against excess noise by elaborately designing the modes to be decomposed. We demonstrate, both theoretically and experimentally, that a SPADE with two specific modes outperforms direct imaging in estimating the micro-oscillation frequency of an optical point source in the presence of excess noise.
format Preprint
id arxiv_https___arxiv_org_abs_2504_04350
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Measuring the Oscillation Frequency Beyond the Diffraction Limit
Hu, Chao-Ning
Xin, Jun
Lu, Xiao-Ming
Quantum Physics
High-resolution array detectors are widely used in single-particle tracking, but their performance is limited by excess noise from background light and dark current. As pixel resolution increases, the diminished signal per pixel exacerbates susceptibility to noise, degrading tracking accuracy. To overcome this limitation, we use spatial-mode demultiplexing (SPADE) as a noise-robust approach for estimating the motion characteristics of an optical point-like source. We show that SPADE efficiently concentrate the information into a few key spatial modes, drastically reducing the number of detectors while maintaining high estimation precision. Furthermore, we enhance the robustness of the estimation against excess noise by elaborately designing the modes to be decomposed. We demonstrate, both theoretically and experimentally, that a SPADE with two specific modes outperforms direct imaging in estimating the micro-oscillation frequency of an optical point source in the presence of excess noise.
title Measuring the Oscillation Frequency Beyond the Diffraction Limit
topic Quantum Physics
url https://arxiv.org/abs/2504.04350