General error model for analysis of laser-induced incandescence signals

Timothy A. Sipkens; Paul J. Hadwin; Samuel J. Grauer; Kyle J. Daun

doi:10.1364/AO.56.008436

Applied Optics
Vol. 56,
Issue 30,
pp. 8436-8445
(2017)
•https://doi.org/10.1364/AO.56.008436

General error model for analysis of laser-induced incandescence signals

Timothy A. Sipkens, Paul J. Hadwin, Samuel J. Grauer, and Kyle J. Daun

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Timothy A. Sipkens, Paul J. Hadwin, Samuel J. Grauer, and Kyle J. Daun, "General error model for analysis of laser-induced incandescence signals," Appl. Opt. 56, 8436-8445 (2017)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Check for updates

Abstract

This paper presents a novel error model for TiRe-LII signals and illustrates how the model can be used to diagnose a detection system, quantify uncertainties in TiRe-LII, and characterize fluctuations in the measured process. Noise in a single TiRe-LII measurement shot obeys a Poisson–Gaussian noise model. Variation in the aerosol results in shot-to-shot fluctuations in the measured signals. These fluctuations induce a quadratic relationship between the mean and variance of a set of signals. We show how this model can elucidate aspects of the measurement system and fundamental properties of the aerosol, by comparing the noise model to four sets of experimental data.

Full Article | PDF Article

More Like This

Kalman filter approach for uncertainty quantification in time-resolved laser-induced incandescence

Paul J. Hadwin, Timothy A. Sipkens, Kevin A. Thomson, Fengshan Liu, and Kyle J. Daun
J. Opt. Soc. Am. A 35(3) 386-396 (2018)

Performance of photomultipliers in the context of laser-induced incandescence

Raphael Mansmann, Thomas Dreier, and Christof Schulz
Appl. Opt. 56(28) 7849-7860 (2017)

Effects of repetitive pulsing on multi-kHz planar laser-induced incandescence imaging in laminar and turbulent flames

James B. Michael, Prabhakar Venkateswaran, Christopher R. Shaddix, and Terrence R. Meyer
Appl. Opt. 54(11) 3331-3344 (2015)

Previous Article Next Article

Supplementary Material (1)

Name	Description
Code 1	MATLAB tools for a general TiRe-LII error model.

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

Tables (1)

You do not have subscription access to this journal. Article tables 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 (62)

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

Study	Channel or Case	$τ^{2}$	$τ$	$θ$	$γ^{2} {[a.u.]}^{2}$	$γ [a.u.]$	${\bar{s}}_{i}^{*}$ (% of Peak)
Sipkens et al. [8] Iron, aerosolized colloid	Ch. 1, Ne, $λ = 442 nm$	$0.0478 \pm 0.0054$	$0.219 \pm 0.012$	$0.18 \pm 0.43$	$0.1 \pm 1.6$	—	0.39
Sipkens et al. [8] Iron, aerosolized colloid	Ch. 2, Ne, $λ = 716 nm$	$0.0640 \pm 0.0057$	$0.253 \pm 0.011$	$0.31 \pm 0.42$	$0.1 \pm 2.3$	—	0.55
Menser et al. [9] Germanium, plasma synthesized	Ch. 1, $λ = 500 nm$	$0.0005 \pm 0.0040$	$\sim 0.023$	$4.17 \pm 0.30$	$0.00 \pm 0.56$	—	4.18
	Ch. 2, $λ = 500 nm$	$0.0017 \pm 0.0036$	$\sim 0.042$	$4.08 \pm 0.27$	$0.12 \pm 0.51$	—	4.12
	Ch. 3, $λ = 684 nm$	$0.0025 \pm 0.0014$	$0.051 \pm 0.017$	$1.68 \pm 0.10$	$0.00 \pm 0.34$	—	1.68
	Ch. 4, $λ = 797 nm$	$0.0043 \pm 0.0023$	$0.066 \pm 0.021$	$3.55 \pm 0.15$	$0.00 \pm 0.75$	—	3.56
Mansmann et al. [36] Soot, laminar flame	Ch. 1, $λ = 500 nm$	$0.0062 \pm 0.0032$	$0.079 \pm 0.024$	$7.66 \pm 0.25$	$1.15 \pm 2.70$	—	7.86
	Ch. 2, $λ = 500 nm$	$0.0043 \pm 0.0031$	$\sim 0.066$	$7.47 \pm 0.25$	$0.7 \pm 2.7$	—	7.60
	Ch. 3, $λ = 684 nm$	$0.00535 \pm 0.0008$	$0.0731 \pm 0.0057$	$1.731 \pm 0.072$	$2.7 \pm 1.1$	$1.63 \pm 0.34$	2.73
	Ch. 4, $λ = 797 nm$	$0.0001 \pm 0.0015$	$\sim 0.012$	$3.41 \pm 0.13$	$0.0 \pm 2.1$	—	3.42
Hadwin et al. [21] Soot, laminar flame	$λ = 420 nm$	$0.000728 \pm 0.000087$	$0.0270 \pm 0.0016$	$0.174 \pm 0.006$	$0.030 \pm 0.060$	—	0.29
Hadwin et al. [21] Soot, laminar flame	$λ = 780 nm$	$0.000501 \pm 0.000036$	$0.0224 \pm 0.0008$	$0.0689 \pm 0.0031$	$0.000 \pm 0.043$	—	0.07

Abstract

Supplementary Material (1)

Cited By

Figures (5)

Tables (1)

Equations (62)

Applied Optics