Survey of the Mie problem source function

Dobson, Chris; Lewis, James W.

doi:10.1364/josaa.6.000463

Cited by 15 publications

(5 citation statements)

References 4 publications

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“…These calculation methods allowed us to evaluate the impact of dye concentration on the proportionality of fluorescence intensity and droplet volume. The spatial distribution of internal energy density in the equatorial plane of a droplet can also be obtained by numerically evaluating the Mie solution [10,11]. On a quasiquantitative basis, these results compare well to geometrical optics calculations in the equatorial plane of nonresonant nonabsorbing dielectric spheres with a radius much greater than the free-space wavelength.…”

Section: Introductionmentioning

confidence: 57%

A study of the influence of absorption on the spatial distribution of fluorescence intensity within large droplets using Mie theory, geometrical optics and imaging experiments

Domann

Hardalupas

Jones

2002

Meas. Sci. Technol.

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The dependence of energy distributions within droplets on internal absorption effects has been investigated by calculations based on Mie theory and the geometrical optics approximation and experiments. The objective was to evaluate the accuracy of the geometrical optics approximation in calculating droplet volume to fluorescence intensity proportionality, required for planar droplet sizing measurements in sprays based on Mie scattering and fluorescence intensity from droplets. A geometrical optics approach was used to calculate the energy-density distribution in the meridional plane of a droplet and this was compared to the Mie theory solution for a range of imaginary refractive indices mi = 1×10-5 to mi = 5×10-4. Integration of the energy density distribution over the droplet volume provided a method to compare experimental and theoretical results. Good agreement was found for the energy density and volume integrated energy distribution patterns obtained from both calculation methods and the experimental results. Quantitative comparison of the volume integrated energy results shows that for the investigated range of absorptivity Mie theory calculations lead to results that are ≈30% higher than in the geometrical optics case. This discrepancy is independent of light absorption and droplet size. Tunnelling waves were identified as the cause for the discrepancies between Mie theory and geometrical optics; these contribute to high energy density in the rim region of the droplet images.

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Section: Introductionmentioning

confidence: 57%

A study of the influence of absorption on the spatial distribution of fluorescence intensity within large droplets using Mie theory, geometrical optics and imaging experiments

Domann

Hardalupas

Jones

2002

Meas. Sci. Technol.

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“…The turning points of the axial caustics represent an even higher degree of focusing, since at these points incident scattering to isolate one component of the far-field intensity from interference effects produced between it and all other components and to suggest physical mechanisms for various scattering phenomena. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] It also provides a theoretical justification for the physical-optics model for light scattering from bubbles.…”

Section: Ray Theory Of the Caustics Within A Liquid Dropletmentioning

confidence: 99%

Internal caustic structure of illuminated liquid droplets

Lock

Hovenac

1991

J. Opt. Soc. Am. A

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“…This connection has been known for some time and has recently been used to explain aspects of the particle's backscattering behavior [1,2]. Previous interest in the wave inside of a spherical particle has been motivated mainly by secondary effects such as stimulated Raman and Brillouin scattering, lasing, and particle heating [3][4][5][6][7][8][9][10][11][12]. Here however, the internal wave is regarded as the source of the scattered wave, and the influences of the internal wave's symmetries on the far-field measurable quantities derived from the scattered wave (that is, the Stokes parameters), are determined.…”

Section: Introductionmentioning

confidence: 99%

Reflection symmetry of a sphere's internal field and its consequences on scattering: a microphysical approach

Berg

Sorensen

2007

J. Opt. Soc. Am. A

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We examine the reflection symmetries of the electromagnetic wave inside of a uniform spherical particle and identify the consequences of the symmetries for the Stokes parameters describing the polarization state of the far-field scattered wave. The connection between the two waves is described from a microphysical perspective that illustrates the wavelet-superposition origin of the scattered wave. In contrast to more conventional approaches, this microphysical perspective yields new insight into the physical character of the scattering of a plane wave by a sphere. The results of simulations are presented, which graphically demonstrate the relation between the symmetries present in the internal wave and the polarization state of the scattered wave.

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Survey of the Mie problem source function

Cited by 15 publications

References 4 publications

A study of the influence of absorption on the spatial distribution of fluorescence intensity within large droplets using Mie theory, geometrical optics and imaging experiments

A study of the influence of absorption on the spatial distribution of fluorescence intensity within large droplets using Mie theory, geometrical optics and imaging experiments

Internal caustic structure of illuminated liquid droplets

Reflection symmetry of a sphere's internal field and its consequences on scattering: a microphysical approach

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