1988
DOI: 10.1002/ppsc.19880050102
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Scattering of a Gaussian Beam by a Sphere Using a Bromwich Formulation: Case of an arbitrary location

Abstract: A complete theory of Gaussian beam scattering by a sphere is exposed. It is a generalization of the Lorenz-Mie Theory to the case of Gaussian beam illumination. The spherical, isotropic and homogeneous scatterer may be located anywhere with respect to the beam. The Bromwich Scalar Potentials are used to solve the scattering problem and expressions are obtained for the scattered field (both in the near field and far field regions), the scattered intensities and the phase angle. In the limit of special cases the… Show more

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Cited by 18 publications
(2 citation statements)
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“…Mie's generalised theory is particularly appropriate for calculating the response of modern instruments using laser beams. [7][8][9][10] The theory makes it possible to calculate the scattered light intensity all around an illuminated particle with respect to particle diameter D, particle refraction index n and the wavelength of scattered light l. An example of angular scattered light distribution 11 for l ¼ 960 nm and a spherical particle with D ¼ 3 mm and n ¼ 1.5 À 0i is reported in Fig. 2.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
See 1 more Smart Citation
“…Mie's generalised theory is particularly appropriate for calculating the response of modern instruments using laser beams. [7][8][9][10] The theory makes it possible to calculate the scattered light intensity all around an illuminated particle with respect to particle diameter D, particle refraction index n and the wavelength of scattered light l. An example of angular scattered light distribution 11 for l ¼ 960 nm and a spherical particle with D ¼ 3 mm and n ¼ 1.5 À 0i is reported in Fig. 2.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…Thoracic and respirable fractions. Thoracic and respirable health related aerosol fractions are calculated from the OPC data using eqn (7) and ( 8) respectively. This calculation yields C T ¼ 11.0 mg m À3 and C R ¼ 3.8 mg m À3 for day one and C T ¼ 2.8 mg m À3 and C R ¼ 1.0 mg m À3 for day two.…”
Section: Calculation Of Aerosol Mass Concentrations From Opc Datamentioning
confidence: 99%