Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Phase optimization algorithm for 3D particle localization with large axial depth

Not Accessible

Your library or personal account may give you access

Abstract

We propose an optimization algorithm based on Fresnel approximation (FA) imaging to optimize an extended-axial-depth point spread function (PSF) for 3D particle localization. The transfer function efficiency of the PSF is improved by repeatedly imposing constraints in the object plane, the spatial domain, and the Fourier domain. During the iterative calculation, the effective photon number or Cramer–Rao lower bound is used as the termination condition of the iteration. The algorithm allows flexible adjustment of the peak intensity ratio of the two main lobes. Moreover, the transfer function efficiency can be balanced by increasing the weight of the modulation function of the expected PSF at each axial position. The twin-Airy (TA) PSF optimized by the FA optimization algorithm does not require complex post-processing, whereas post-processing is an essential step for the unoptimized TA-PSF. The optimization algorithm is significant for extended-axial-depth PSFs used for 3D particle localization, as it improves localization precision and temporal resolution.

© 2021 Optica Publishing Group

Full Article  |  PDF Article
More Like This
Particles 3D tracking with large axial depth by using the 2π-DH-PSF

Hangfeng Li, Famin Wang, Tongda Wei, Xin Miao, Yu Cheng, Xinpei Pang, Keming Jiang, Wei Huang, and Yunhai Zhang
Opt. Lett. 46(20) 5088-5091 (2021)

Precise 3D particle localization over large axial ranges using secondary astigmatism

Yongzhuang Zhou and Guillem Carles
Opt. Lett. 45(8) 2466-2469 (2020)

High-axial-resolution single-molecule localization under dense excitation with a multi-channel deep U-Net

Weihang Zhang, Zhihong Zhang, Liheng Bian, Haoqian Wang, Jinli Suo, and Qionghai Dai
Opt. Lett. 46(21) 5477-5480 (2021)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Supplementary Material (4)

NameDescription
Visualization 1       Single-particle localization imaging for TA-phase mask optimized by FA algorithm.
Visualization 2       Comparison of multi-particle localization and tracking using pre-and post-optimized TA-PSF.
Visualization 3       The TA-PSF optimized by FA algorithm was used to track the trajectory of fluorescent beads.
Visualization 4       An unoptimized TA-PSF was used to track the trajectory of fluorescent beads.

Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (11)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved