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Optimal Filtering Applied to the Inversion of the Laplace Transform

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Optical Particle Sizing
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Abstract

The laser scattering measurement of the Brownian motion of particles suspended in a colloid may be modeled by the integral equation

$$g(t)-\int_{o}^{\infty}G(\gamma)\;\exp(-\gamma t)d\gamma$$

which is the Laplace transform. In this equation g(t) is the autocorrelation of the electric field of scattered light, and G(γ) the linewidth distribution describing the particle size distribution of the colloid, with the property G(γ)≥0 for all γ.

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References

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© 1988 Springer Science+Business Media New York

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Ross, D.A. (1988). Optimal Filtering Applied to the Inversion of the Laplace Transform. In: Gouesbet, G., Gréhan, G. (eds) Optical Particle Sizing. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1983-3_13

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  • DOI: https://doi.org/10.1007/978-1-4757-1983-3_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3208-2

  • Online ISBN: 978-1-4757-1983-3

  • eBook Packages: Springer Book Archive

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