Size determination of spherical voids from the extrema of the Mie scattering intensities

1976 ◽  
Vol 54 (4) ◽  
pp. 349-352
Author(s):  
A. J. Patitsas ◽  
F. Robillard ◽  
B. H. Kaye

Simple relations have been obtained, by numerical methods, between the diameter D of a spherical void (bubble) in a conducting medium of a given refractive index and the angular positions of the extrema of the Mie scattering intensities from the voids. The extrema are counted from the forward direction. These relations allow the determination of the positions of the extrema for a given diameter, or the reverse, without computational aids. The real part of the refractive index was varied from 1.25 to 15.00 and the imaginary part from 0.0 to 22.50. The size parameter α = πD/λ was varied in all cases from 4.00 to 24.00. The variable λ represents the wavelength of the incident radiation. These findings could thus be related to the scattering of microwaves by bubbles in water. Similar relations have also been obtained regarding the scattering of scalar waves by spherical voids. This corresponds to scattering of Schrödinger waves from complex spherical barrier potentials.

Molecules ◽  
2021 ◽  
Vol 26 (15) ◽  
pp. 4421
Author(s):  
Ángela Barreda ◽  
Pablo Albella ◽  
Fernando Moreno ◽  
Francisco González

High refractive index dielectric (HRID) nanoparticles are a clear alternative to metals in nanophotonic applications due to their low losses and directional scattering properties. It has been demonstrated that HRID dimers are more efficient scattering units than single nanoparticles in redirecting the incident radiation towards the forward direction. This effect was recently reported and is known as the “near zero-backward” scattering condition, attained when nanoparticles forming dimers strongly interact with each other. Here, we analyzed the electromagnetic response of HRID isolated nanoparticles and aggregates when deposited on monolayer and graded-index multilayer dielectric substrates. In particular, we studied the fraction of radiation that is scattered towards a substrate with known optical properties when the nanoparticles are located on its surface. We demonstrated that HRID dimers can increase the radiation emitted towards the substrate compared to that of isolated nanoparticles. However, this effect was only present for low values of the substrate refractive index. With the aim of observing the same effect for silicon substrates, we show that it is necessary to use a multilayer antireflection coating. We conclude that dimers of HRID nanoparticles on a graded-index multilayer substrate can increase the radiation scattered into a silicon photovoltaic wafer. The results in this work can be applied to the design of novel solar cells.


2018 ◽  
Vol 10 (4) ◽  
pp. 124 ◽  
Author(s):  
Ali Shahin ◽  
Moustafa Sayem El-Daher ◽  
Wesam Bachir

The aim of this study is to characterize the optical properties of Intralipid20% using two methods modified Kubelka-Munk model and Mie theory and to test the applicability of a modified Kubelka-Munk model with a single integrating sphere system over a wide wavelength range 470 – 725nm. Scattering coefficients which estimated by these two methods were matched and the absorption effect was observed and quantified. Finally, the imaginary part of the refractive index was estimated besides scattering, absorption and anisotropy coefficients. Full Text: PDF ReferencesB.W. Pogue, and M.S. Patterson, "Review of tissue simulating phantoms for optical spectroscopy, imaging and dosimetry", J. Biomed. Opt. 11, 4(2006). CrossRef J. Hwang, C. Ramella-Roman, and R. Nordstrom, "Introduction: Feature Issue on Phantoms for the Performance Evaluation and Validation of Optical Medical Imaging Devices", Biomed. Opt. Express. 3, 6(2012). CrossRef P. Ninni, F. Martelli, and G. Zaccanti, "Intralipid: towards a diffusive reference standard for optical tissue phantoms", Phys. Med. Biol 56, 2(2011). CrossRef S. Flock, S. Jacques, B. Wilson, W. Star, and J.C. van Gemert, "Optical properties of intralipid: A phantom medium for light propagation studies", Lasers. Surg. Med 4, 12(1992). CrossRef R. Michels, F. Foschum, and A. Kienle, "Optical properties of fat emulsions", Opt. Express. 16, 8(2008). CrossRef L. Spinelli et al. "Calibration of scattering and absorption properties of a liquid diffusive medium at NIR wavelengths. Time-resolved method", Opt. Express. 15, 11(2007). CrossRef L. Spinelli et al. "Determination of reference values for optical properties of liquid phantoms based on Intralipid and India ink", Biomed. Opt. Express. 5, 7(2014). CrossRef H. van Staveren, C. Moes, J. van Marle, S. Prahl, and J. van Gemert, "Light scattering in lntralipid-10% in the wavelength range of 400–1100 nm", Appl. Opt. 30, 31(1991). CrossRef B. Wilson, M. Patterson, and S. Flock, "Indirect versus direct techniques for the measurement of the optical properties of tissues", Photochem. Photobiol. 46, 5(1987). CrossRef H. Soleimanzad, H. Gurden, and F. Pain, "Optical properties of mice skull bone in the 455- to 705-nm range", J. Biomed. Opt. 22, 1(2017). CrossRef C. Holmer et al. "Optical properties of adenocarcinoma and squamous cell carcinoma of the gastroesophageal junction", J. Biomed. Opt. 12, 1(2007). CrossRef S. Thennadil, "Relationship between the Kubelka–Munk scattering and radiative transfer coefficients", OSA. 25, 7(2008). CrossRef L. Yang, and B. Kruse, "Qualifying the arguments used in the derivation of the revised Kubelka–Munk theory: reply", OSA. 21, 10(2004). CrossRef W. Vargas, and G. Niklasson, "Applicability conditions of the Kubelka–Munk theory", Appl. Opt. 36, 22(1997). CrossRef A. Krainov, A. Mokeeva, E. Segeeva, P. Agrba, and M. Kirillin, "Optical properties of mouse biotissues and their optical phantoms", Opt. Spec. 115, 2(2013). CrossRef H.C. van de Hulst, Light Scattering by Small Particles. (New York, Dover Publication 1981). CrossRef C. Matzler, Matlab Functions for Mie Scattering and Absorption. (Bern, Bern university 2002). DirectLink C. Matzler, Matlab Functions for Mie Scattering and Absorption, version 2 (Bern, Bern university 2002). DirectLink G. Segelstein, The complex refractive index of water [dissertation]. (Kansas, university of Missouri-Kansas city 1981). DirectLink A. Shahin, and W. Bachir, Pol. J. Med. Phys. Eng. 21, 4(2017). CrossRef


1974 ◽  
Vol 52 (16) ◽  
pp. 1571-1582 ◽  
Author(s):  
F. Robillard ◽  
A. J. Patitsas

Mie scattering at two different wavelengths was used to determine the size, the size distribution, and the refractive index of Dow latexes EP-1358-38. Computer calculated scattering curves were obtained for three size dispersions and three refractive indices. The experimental scattering curves were compared with the calculated curves in order to find the combination of refractive index and size distribution for which the agreement between the experimental data and the computed values was optimized.


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