Resolving the waveguide inverse light-scattering problem

In this manuscript we propose two methods to solve inverse light scattering problem for single particles, which can be described as a coated sphere. The efficiency of the methods is illustrated by characterization of lymphocytes and stem cells using light scattering patterns obtained with scanning flow cytometer. Both methods, spectral and global optimization, were used to obtain diameters and refractive indices of the cytoplasm and the nucleus of mice embryo stem cells and human lymphocytes. These results agree with data obtained from other studies. Determination of these parameters is important for diagnostics of pathological states of lymphocytes and differentiation status of embryo stem cells. Moreover, methods described in this manuscript are applicable to all mononuclear cells. We also considered limitations of these methods and their possible improvements.

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Inverse Light Scattering Problem in a Planar Waveguide with Statistical Subwavelength Irregularities: Theory and Computer Simulation

Journal of Computational Methods in Sciences and Engineering ◽

10.3233/jcm-2002-21-238 ◽

2002 ◽

Vol 2 (1-2) ◽

pp. 277-285

Author(s):

Alexandre A. Yegorov

Keyword(s):

Computer Simulation ◽

Light Scattering ◽

Planar Waveguide ◽

Scattering Problem

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Light Scattering by Particles with Arbitrary Shape in the Vicinity of the Backward Scattering Direction within Geometrical Optics Approximation

EPJ Web of Conferences ◽

10.1051/epjconf/202023708012 ◽

2020 ◽

Vol 237 ◽

pp. 08012

Author(s):

Victor Shishko ◽

Alexander Konoshonkin ◽

Natalia Kustova ◽

Anatoli Borovoi ◽

Dmitry Timofeev

Keyword(s):

Experimental Data ◽

Refractive Index ◽

Light Scattering ◽

Arbitrary Shape ◽

Specular Reflection ◽

Scattering Problem ◽

Geometrical Optics ◽

Optical Characteristics ◽

Ice Particles ◽

Scattering Light

The work presents the solution for the light scattering problem by arbitrarily-shaped particles in the vicinity of the backward scattering direction. The solution was obtained within the framework of the geometrical optics approximation. The refractive index was equal to 1.3116. It was shown that the general contribution of scattering light for arbitrarily-shaped particles in the vicinity of the backscattering direction consists of the specular reflection of the particles and two types of non-specular optical beams. It is shown that the optical characteristics of the ice particles with arbitrary shapes correspond to experimental data.

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Particle Identification Using Light Scattering

Intelligent Data Analysis ◽

10.4018/978-1-59904-982-3.ch009 ◽

2009 ◽

pp. 143-160

Author(s):

M. C. Bartholomew-Biggs ◽

Z. Ulanowski ◽

S. Zakovic

Keyword(s):

Experimental Data ◽

Global Optimization ◽

Light Scattering ◽

Least Squares ◽

Scattering Problem ◽

Data Fitting ◽

Particle Identification ◽

Identification Procedure ◽

Robust Identification ◽

Actual Particle

We discuss some experience of solving an inverse light scattering problem for single, spherical, homogeneous particles using least squares global optimization. If there is significant noise in the data, the particle corresponding to the “best” solution may not correspond well to the “actual” particle. One way of overcoming this difficulty involves the use of peak positions in the experimental data as a means of distinguishing genuine from spurious solutions. We introduce two composite approaches which combine conventional data fitting with peak-matching and show that they lead to a more robust identification procedure.

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Solution of the inverse light-scattering problem for suspension of spherical biological particles: application in scanning flow cytometry

10.1117/12.411994 ◽

2000 ◽

Author(s):

Nickolay V. Shepelevich ◽

Inna V. Prostakova ◽

Valeriy N. Lopatin

Keyword(s):

Flow Cytometry ◽

Light Scattering ◽

Scattering Problem ◽

Biological Particles

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Aperiodic Photonics of Elliptic Curves

Crystals ◽

10.3390/cryst9090482 ◽

2019 ◽

Vol 9 (9) ◽

pp. 482 ◽

Cited By ~ 3

Author(s):

Luca Dal Dal Negro ◽

Yuyao Chen ◽

Fabrizio Sgrignuoli

Keyword(s):

Light Scattering ◽

Elliptic Curves ◽

Random Media ◽

Scattering Problem ◽

Discrete Logarithm ◽

Structural Complexity ◽

Structure Property ◽

Wave Localization ◽

Multiple Wave ◽

Aperiodic Order

In this paper we propose a novel approach to aperiodic order in optical science and technology that leverages the intrinsic structural complexity of certain non-polynomial (hard) problems in number theory and cryptography for the engineering of optical media with novel transport and wave localization properties. In particular, we address structure-property relationships in a large number (900) of light scattering systems that physically manifest the distinctive aperiodic order of elliptic curves and the associated discrete logarithm problem over finite fields. Besides defining an extremely rich subject with profound connections to diverse mathematical areas, elliptic curves offer unprecedented opportunities to engineer light scattering phenomena in aperiodic environments beyond the limitations of traditional random media. Our theoretical analysis combines the interdisciplinary methods of point patterns spatial statistics with the rigorous Green’s matrix solution of the multiple wave scattering problem for electric and magnetic dipoles and provides access to the spectral and light scattering properties of novel deterministic aperiodic structures with enhanced light-matter coupling for nanophotonics and metamaterials applications to imaging and spectroscopy.

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