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Timestamp: 2019-04-24 18:55:09+00:00

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Laser-absorption tomography experiments infer the concentration distribution of a gas species from the attenuation of lasers transecting the flow field. Although reconstruction accuracy strongly depends on the layout of optical components, to date experimentalists have had no way to predict the performance of a given beam arrangement. This paper shows how the mathematical properties of the coefficient matrix are related to the information content of the attenuation data, which, in turn, forms a basis for a beam-arrangement design algorithm that minimizes the reliance on additional assumed information about the concentration distribution. When applied to a simulated laser-absorption tomography experiment, optimized beam arrangements are shown to produce more accurate reconstructions compared to other beam arrangements presented in the literature.
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Fig. 1. Geometry of the ith beam transecting the tomography field.
Fig. 2. Beam arrangements investigated in the literature: (a) orthogonal, 32 beams , (b) fan, 33 beams , (c) Terzija, 27 beams , and (d) Terzija, 32 beams .
Fig. 4. Contour plots of the resolution matrices corresponding to the beam arrangements in Figs. 2(a) and 2(d).
Fig. 5. (a) Sample Gaussian phantom and (b) reconstruction using the beam arrangement in Fig. 2(a).
Fig. 6. Singular values of the augmented matrix found using various λ for the beam array in Fig. 2(a).
Fig. 7. Reconstruction error using various λ for the beam array in Fig. 2(a).
Fig. 8. Fitness function and reconstruction error for the beam arrangement in Fig. 2(a).
Fig. 9. Fitness function and reconstruction error for the beam arrangement in Fig. 2(b).
Fig. 10. Genetic algorithm progression and optimal beam arrangement.
Fig. 11. Error and normalized fitness comparison of beam arrangements.
Fig. 12. LES simulation setup of turbulent buoyant methane plume .
Fig. 13. Reconstruction error for various beam arrangements and buoyant methane phantom.
Fig. 14. Sample LES phantom and reconstructed concentration profiles for various beam arrangements.
Fig. 15. Normalized fitness and error for various m values.

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