Light scattering by a sphere on a substrate

Bobbert, Peter A.; Vlieger, J.

doi:10.1016/0378-4371(86)90072-5

Cited by 272 publications

(139 citation statements)

References 5 publications

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“…This is in contrast to previously published formulae associated with thin-island film theory [1,2] and with rigorous spherical harmonic scattering models for spheres [3][4][5]. To validate the accuracy of the formulation derived in this paper, a comparison was made with previously published measured data for ellipticity ratio and reflectivity.…”

Section: Comparison With Measured Datacontrasting

confidence: 46%

“…These expressions are based on the scattering properties of spherical particles to varying orders of interaction with the substrate, and account for the perturbing effect of the adsorbed layer. An exact formulation for a single spherical scatterer on a dielectric substrate was presented by Bobbert and Vlieger [3] based on a Mie series expansion and plane-wave spectral formulation. The same authors, in collaboration with Greef, extended this analysis to sparse distributions of spherical particles [4].…”

Section: Introductionmentioning

confidence: 99%

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Determination of Closed-Form Expressions for Rayleigh Scattering of Polarized Light From Adsorbed Particles on or Below a Substrate

Simpkin

2012

PIER B

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Abstract-An integral equation formulation describing the scattered field from a distribution of optically small Rayleigh objects of arbitrary shape adsorbed onto a planar dielectric substrate is presented. When certain approximations are introduced concerning the scatterers' permittivity contrast and small size compared to the wavelength, simple closed-form expressions are obtained for the ellipticity ratio and reflectivity which can be readily related to the surface coverage and average height of the surface layer. The formulation is an alternative to thin-island film theory often used to describe electromagnetic scattering from such configurations. Results derived from the integral equation model are compared with previously published measurements of ellipticity ratio and reflectivity and are found to be in good agreement with observation.

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Section: Comparison With Measured Datacontrasting

confidence: 46%

Section: Introductionmentioning

confidence: 99%

Determination of Closed-Form Expressions for Rayleigh Scattering of Polarized Light From Adsorbed Particles on or Below a Substrate

Simpkin

2012

PIER B

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“…ParticleϪsurface coupling was calculated and scattering spectra were simulated using the electrodynamic method of Bobbert and Vlieger. 66 In this method, the vector spherical harmonic (VSH) modes of a sphere are coupled through the sphere's response to reflection by the surface of the VSH scattered waves (Supporting Information 3). Surface plasmon modes of like orientation thus are mixed.…”

Section: Discussionmentioning

confidence: 99%

Gold Nanoparticles on Polarizable Surfaces as Raman Scattering Antennas

et al. 2010

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Surface plasmons supported by metal nanoparticles are perturbed by coupling to a surface that is polarizable. Coupling results in enhancement of near fields and may increase the scattering efficiency of radiative modes. In this study, we investigate the Rayleigh and Raman scattering properties of gold nanoparticles functionalized with cyanine deposited on silicon and quartz wafers and on gold thin films. Dark-field scattering images display red shifting of the gold nanoparticle plasmon resonance and doughnut-shaped scattering patterns when particles are deposited on silicon or on a gold film. The imaged radiation patterns and individual particle spectra reveal that the polarizable substrates control both the orientation and brightness of the radiative modes. Comparison with simulation indicates that, in a particle−surface system with a fixed junction width, plasmon band shifts are controlled quantitatively by the permittivity of the wafer or the film. Surface-enhanced resonance Raman scattering (SERRS) spectra and images are collected from cyanine on particles on gold films. SERRS images of the particles on gold films are doughnut-shaped as are their Rayleigh images, indicating that the SERRS is controlled by the polarization of plasmons in the antenna nanostructures. Near-field enhancement and radiative efficiency of the antenna are sufficient to enable Raman scattering cyanines to function as gap field probes. Through collective interpretation of individual particle Rayleigh spectra and spectral simulations, the geometric basis for small observed variations in the wavelength and intensity of plasmon resonant scattering from individual antenna on the three surfaces is explained.

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“…Light scattering of particles on top of optical surfaces can be accurately predicted utilizing the Bobbert-Vlieger (BV) model [18,19]. The model is based on the Mie theory and allows calculating the light scattering distribution of spherical particles on top of substrates.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Reducing light scattering from surface contaminations by thin film design

Finck

Wilbrandt

Stenzel

et al. 2017

Advanced Optical Technologies

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Abstract:In most applications, contamination of optical thin film coatings is inevitable over time. State-of-the art approaches to tackle this problem are usually based on two strategies -avoiding contamination or removing already existing contamination. We demonstrate that the coating design can be tailored to reduce light scattering and stray light arising from particle contamination. This allows reducing the optical symptoms (light scattering) rather than trying to address the inevitable cause of the problem (contamination) itself. This new approach can consequently be easily combined with state-of-the-art approaches.

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Light scattering by a sphere on a substrate

Cited by 272 publications

References 5 publications

Determination of Closed-Form Expressions for Rayleigh Scattering of Polarized Light From Adsorbed Particles on or Below a Substrate

Determination of Closed-Form Expressions for Rayleigh Scattering of Polarized Light From Adsorbed Particles on or Below a Substrate

Gold Nanoparticles on Polarizable Surfaces as Raman Scattering Antennas

Reducing light scattering from surface contaminations by thin film design

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