Retrieving the refractive index of a sphere from the phase spectrum of its light-scattering profile

Abstract We studied the Fourier spectrum of the light-scattering profiles of single particles in the Rayleigh-Gans-Debye (RGD) and Wentzel–Kramers–Brillouin (WKB) approximations. In the case of a homogeneous sphere, we found the relationship between the key parameters of the spectrum (including its phase) and the sphere characteristics – both analytically and numerically in the framework of the approximations and the rigorous Lorentz–Mie theory, respectively. Based on these results, we have improved the existing spectral characterization method for spheres extending the applicability range to particles with a higher refractive index.

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Polydisperse Mie theory applied to hollow latex spheres: An integrated light-scattering study

Canadian Journal of Physics ◽

10.1139/p92-069 ◽

1992 ◽

Vol 70 (6) ◽

pp. 401-406 ◽

Cited By ~ 12

Author(s):

K. B. Strawbridge ◽

F. R. Hallett

Keyword(s):

Refractive Index ◽

Light Scattering ◽

Scattered Light ◽

Mie Theory ◽

Theoretical Models ◽

Light Scattering Spectroscopy ◽

Latex Spheres ◽

Scattering Study ◽

Computer Controlled ◽

Sphere Suspensions

Integrated light-scattering spectroscopy provides a method of determining the size, coat thickness, and lumen refractive index of a variety of coated-sphere systems. Integrated light-scattering spectroscopy performed on hollow-latex-sphere suspensions also provides a basis for validating theoretical models, such as Rayleigh–Gans–Debye or Mie, of coated-sphere systems such as vesicles and micelles. The rigidity and stability of hollow latex spheres makes them an excellent candidate for the simulation of a "perfect" coated-sphere system and allows one to determine the effects of other nonstructural factors such as polydispersity. The computer controlled spectrometer collects data in the form of I(Q) vs. Q where I(Q) is the intensity of the scattered light. Mie theory, which provides an exact solution for the absorption and scattering of a sphere of arbitrary radius and refractive index, is used to fit the experimental data. The results are compared with data obtained from dynamic light scattering and electron microscopy.

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Light scattering with stream-in-air flow systems.

Journal of Histochemistry & Cytochemistry ◽

10.1177/27.1.374583 ◽

1979 ◽

Vol 27 (1) ◽

pp. 264-267 ◽

Cited By ~ 37

Author(s):

G C Salzman ◽

M E Wilder ◽

J H Jett

Keyword(s):

Refractive Index ◽

Light Scattering ◽

Air Flow ◽

Mie Theory ◽

Detector Response ◽

Theoretical Base ◽

Forward Angle ◽

Scattering Measurements ◽

Flow Systems ◽

Cell Sizing

Both forward angle and 90 degrees light-scattering measurements have been used for cell sizing with stream-in-air flow systems with very little theoretical base for the measurements. Mie theory calculations are compared with measurements on plastic microspheres. Detector response for homogeneous spheres is shown to be sensitive to refractive index.

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Radiative properties of single particles and fibers: the hypothesis of independent scattering and the Mie theory

THERMOPEDIA ◽

10.1615/thermopedia.000136 ◽

2008 ◽

Author(s):

Leonid A. Dombrovsky

Keyword(s):

Mie Theory ◽

Radiative Properties ◽

Single Particles

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Stress Whitening in Polypropylene. I. Light Scattering Theory and Model Experiments

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19951875 ◽

1995 ◽

Vol 60 (11) ◽

pp. 1875-1887 ◽

Cited By ~ 4

Author(s):

Jaroslav Holoubek ◽

Miroslav Raab

Keyword(s):

Refractive Index ◽

Light Scattering ◽

Incident Light ◽

Polymeric Materials ◽

Wavelength Dependence ◽

Theoretical Background ◽

Surrounding Matrix ◽

Embedded Particles ◽

The One ◽

Stress Whitening

Theoretical background for an optical method is presented which makes it possible to distinguish unambiguously between voids and particles as light scattering sites in polymeric materials. Typical dependences of turbidity as a function of diameter of scattering elements, their volume fractions and also turbidity curves as a function of the wavelength of the incident light were calculated, based both on the Lorenz-Mie theory and the fluctuation theory. Such dependences calculated for polypropylene-containing voids on the one hand and particles, differing only slightly from the surrounding matrix in their refractive index, on the other hand, are markedly different. The most significant results are: (i) Turbidity is at least by two orders of magnitude larger for voids in comparison to embedded particles of ethylene-propylene (EPDM) rubber of the same size, concentration and at the same wavelength. (ii) The wavelength dependence of turbidity for EPDM particles and the inherent refractive index fluctuations in the polypropylene matrix is much steeper as compared to voids for all considered diameters (0.1-10 μm). Thus, the nature of stress whitening in complex polymeric materials can be determined from turbidity measurements.

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Laboratory Measurements of Light Scattering by Dust Particles

International Astronomical Union Colloquium ◽

10.1017/s0252921100501948 ◽

1996 ◽

Vol 150 ◽

pp. 409-413

Author(s):

Patrick P. Combet ◽

Philippe L. Lamy

Keyword(s):

Light Scattering ◽

Laser Beam ◽

Mie Theory ◽

Spherical Particles ◽

Dust Particles ◽

Laboratory Measurements ◽

Scattering Function ◽

Hene Laser ◽

Set Up ◽

Good Agreement

AbstractWe have set up an experimental device to optically study the scattering properties of dust particles. Measurements over the 8 — 174° interval of scattering angles are performed on a continuously flowing dust loaded jet illuminated by a polarized red HeNe laser beam. The scattering is averaged over the population of the dust particles in the jet, which can be determined independently, and give the “volume scattering function” for the two directions of polarization directly. While results for spherical particles are in good agreement with Mie theory, those for arbitrary particles show conspicuous deviations.

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Light scattering from optical fibers with arbitrary refractive-index distributions

Journal of the Optical Society of America ◽

10.1364/josa.65.000367 ◽

1975 ◽

Vol 65 (4) ◽

pp. 367 ◽

Cited By ~ 27

Author(s):

D. Marcuse ◽

H. M. Presby

Keyword(s):

Refractive Index ◽

Light Scattering ◽

Optical Fibers

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Determination of pseudo-refractive index in self-assembled ligand layers from spectral shift of surface plasmon resonances in colloidal silver nanoplates

Zeitschrift für Physikalische Chemie ◽

10.1515/zpch-2020-1786 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Pavel Malakhovsky ◽

Dmitry Murausky ◽

Dmitry Guzatov ◽

Sergey Gaponenko ◽

Mikhail Artemyev

Keyword(s):

Refractive Index ◽

Surface Plasmon ◽

Mie Theory ◽

Spectral Shift ◽

Localized Surface Plasmon ◽

Clear Trend ◽

Silver Nanoplates ◽

Assembled Monolayers ◽

Self Assembled

Abstract We examined systematically how self-assembled monolayers (SAMs) of different mercaptoacids affect the spectral shift of the localized surface plasmon resonance in silver nanoplates and nanospheres. We observed a clear trend in the magnitude of a redshift with a molecular length or the SAM thickness within a homologous series of aliphatic mercaptoacids: the thicker shell the stronger the red shift. Using classic Mie theory for plasmonic core-dielectric shell spheres and oblate spheroids we developed the method for determination of a pseudo-refractive index in SAM of different molecules and obtained a good correlation with the reference refractive indices for bulk long-chain aliphatic acids, but only in case of silver nanoplates. Calculations for silver core–shell nanospheres gave overestimated values of refractive index perhaps due to restrictions of Mie theory on the minimum particle size.

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