General error model for analysis of laser-induced incandescence signals

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

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)8436-8445
Number of pages10
JournalApplied optics
Issue number30
StatePublished - Oct 20 2017

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering


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