Calibration method for the center of mass method to enlarge the solvable range of fluorescence lifetime

Jiangtao Xu; Jun Qiao; Kaiming Nie; An Zhang

doi:10.1364/JOSAA.33.001961

Journal of the Optical Society of America A
Vol. 33,
Issue 10,
pp. 1961-1969
(2016)
•https://doi.org/10.1364/JOSAA.33.001961

Calibration method for the center of mass method to enlarge the solvable range of fluorescence lifetime

Jiangtao Xu, Jun Qiao, Kaiming Nie, and An Zhang

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Jiangtao Xu, Jun Qiao, Kaiming Nie, and An Zhang, "Calibration method for the center of mass method to enlarge the solvable range of fluorescence lifetime," J. Opt. Soc. Am. A 33, 1961-1969 (2016)

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- Medical Optics and Biotechnology
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About this Article
History
- Original Manuscript: June 8, 2016
- Revised Manuscript: August 9, 2016
- Manuscript Accepted: August 22, 2016
- Published: September 8, 2016
Virtual Issues
Virtual Journal for Biomedical Optics Vol. 11, Iss. 11

Abstract

This paper presents a calibration method for the center of mass method based on rough rapid lifetime determination (RLD) to enlarge the solvable range of fluorescence lifetime. The proposed method defines the ratio of two photon count numbers as a threshold parameter to characterize the length of the sample lifetime. When detecting long lifetimes beyond the threshold, a raw lifetime is estimated first through RLD. Then the raw lifetime is compensated to get a precise one. Simulation results show the solvable range is extended from $T / τ > 4$ to $T / τ > 1.5$ with less than 1% error. The extended range with 40 dB SNR guaranteed enables higher-frequency laser pulses to solve long lifetimes or incomplete decays and has promising biomedical applications, such as quantum dots.

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$T / τ$	$ε$	$K_{0}$	$T / τ$	$ε$	$K_{0}$	$T / τ$	$ε$	$K_{0}$
50	0	–	40	0	–	30	0	–
20	0	–	10	0	–	9	0	–
8	0.01%	–	7	0.02%	–	6	0.12%	–
5	0.60%	148	4.9	0.63%	134	4.8	0.72%	121
4.7	0.83%	110	4.6	0.92%	99	4.5	1.09%	90
4.4	1.24%	81	4.3	1.43%	74	4.2	1.62%	67
4.1	1.83%	60	4.0	1.89%	55	3.9	2.43%	49
3.8	2.68%	45	3.7	3.02%	40	3.6	3.52%	37

Goodness	SSE	R-Square	RMSE	Fit Type
1st piece	$2.856 e - 5$	1	0.005	rational
2nd piece	$2.8 e - 5$	1	0.005	rational
3rd piece	$2.8 e - 5$	1	0.005	rational

	Ref. [13]	Ref. [15]	This Work
Incomplete decay	Y	Y	Y
Solvability at 40 dB	$T / τ > 0.5$	$T / τ > 0.5$	$T / τ > 1.5$
Solvability at $F < 2$	$T / τ > 1.5$	–	$T / τ > 1$
Hardware use	N	N	Y

$T / τ$	$ε$	$K_{0}$	$T / τ$	$ε$	$K_{0}$	$T / τ$	$ε$	$K_{0}$
50	0	–	40	0	–	30	0	–
20	0	–	10	0	–	9	0	–
8	0.01%	–	7	0.02%	–	6	0.12%	–
5	0.60%	148	4.9	0.63%	134	4.8	0.72%	121
4.7	0.83%	110	4.6	0.92%	99	4.5	1.09%	90
4.4	1.24%	81	4.3	1.43%	74	4.2	1.62%	67
4.1	1.83%	60	4.0	1.89%	55	3.9	2.43%	49
3.8	2.68%	45	3.7	3.02%	40	3.6	3.52%	37

Goodness	SSE	R-Square	RMSE	Fit Type
1st piece	$2.856 e - 5$	1	0.005	rational
2nd piece	$2.8 e - 5$	1	0.005	rational
3rd piece	$2.8 e - 5$	1	0.005	rational

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Equations (28)

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