&lt;title&gt;On one simple backscattering task of the general light scattering theory&lt;/title&gt;

Dmitriev, M. A.; Fedukova, M. V.; Рогаткин, Д. А.

doi:10.1117/12.568557

Cited by 4 publications

(4 citation statements)

References 3 publications

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“…(15). Thus, we found a set of two coupled linear differential equations of the first-order describing the 1D pure scattering problem with the use of SSA:…”

mentioning

confidence: 99%

A New Look at Fundamentals of the Photometric Light Transport and Scattering Theory. Part 1: One-Dimensional Pure Scattering Problems

Першеев¹,

Рогаткин²

2017

HoBMSTU.SNS

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KeywordsIn the majority of practical cases there exist difficulties with deriving an analytical closed-form solution of the classic radiative transport equation (RTE) in the light transport and scattering theory, which is widely used today in biomedical optics, ocean optics, atmospheric optics, etc. In our opinion, certain problems stem from the fact that the mathematical formulation of main physical processes at scattering in turbid media is not quite accurate. To study the problem in more detail, this paper once again describes and analyzes the photometric transport theory from the ''first phenomenological principles''. We show that this approach assists to clarify the problem in depth, as well as to obtain certain new, accurate and unexpected results. In this part 1 of the article, we consider in detail one-dimensional (1D) pure scattering problems featuring no absorption. We discuss and solve every main typical 1D pure scattering problem using various approaches. It allows us to prove that the scattering coefficient is not so much a real optical property of a turbid medium, but a parameter of the mathematical description of the problem. In the general case, the scattering coefficient depends on both optical properties of the medium and the mathematical approach selected. Therefore, it can vary with different approximations, which can be a source of errors in calculations

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“…(15). Thus, we found a set of two coupled linear differential equations of the first-order describing the 1D pure scattering problem with the use of SSA:…”

mentioning

confidence: 99%

A New Look at Fundamentals of the Photometric Light Transport and Scattering Theory. Part 1: One-Dimensional Pure Scattering Problems

Першеев¹,

Рогаткин²

2017

HoBMSTU.SNS

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“…In combination, μ ρi and R i determine the scattering coefficient μ si of each layer. In the case of single scattering, for example [9],…”

Section: Model Of a Two-layer Mediummentioning

confidence: 99%

“…The secondary scattering of the reverse flux in the medium after any first reflection of the forward flux from any inhomogeneities was neglected in this approximation. Using the expression for the power of the transmitted and backscattered fluxes as applied to one layer of turbid medium in the single-scattering approximation [9], the authors of this paper obtained an exact analytical solution to express the power of backscattered radiation in the case of a two-layer medium with single scattering,…”

Section: Model Of a Two-layer Mediummentioning

confidence: 99%

Variable hyperemia of biological tissue as a noise source in the input optical signal of a medical laser Doppler flowmeter

Lapitan

Рогаткин

2016

J. Opt. Technol.

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As applied to the problems of medical laser Doppler flowmetry and based on a modified Kubelka-Munk two-flow model, analytic expressions have been obtained for the radiation power backscattered by biological tissue, taking into account the variable hyperemia of its microvasculature. An estimate is made of the power contribution of the Doppler component of the flow to the overall backscatteredradiation signal recorded by the device, which appears when light is scattered at moving erythrocytes. It is shown that the power contribution of the Doppler component to the overall backscattered radiation flux is no greater than 5% on average. The variable hyperemia that results from various physiological processes causes the radiation flux recorded by the Doppler flowmeter to be amplitude modulated. The power of the amplitude-modulated component can be of the same order of magnitude as, and in certain cases even greater than, the power of the useful Doppler signal, creating noise in the input signal of the device.

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“…Equation (15) can be compared to expressions derived in [7,13,23,26]. For medium with µ a = 0 an exact expression was derived [26]:…”

Section: Layer I 1 Layer Imentioning

confidence: 99%

A specific feature of the procedure for determination of optical properties of turbid biological tissues and media in calculation for noninvasive medical spectrophotometry

Рогаткин

2007

Biomed Eng

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<title>On one simple backscattering task of the general light scattering theory</title>

Cited by 4 publications

References 3 publications

A New Look at Fundamentals of the Photometric Light Transport and Scattering Theory. Part 1: One-Dimensional Pure Scattering Problems

A New Look at Fundamentals of the Photometric Light Transport and Scattering Theory. Part 1: One-Dimensional Pure Scattering Problems

Variable hyperemia of biological tissue as a noise source in the input optical signal of a medical laser Doppler flowmeter

A specific feature of the procedure for determination of optical properties of turbid biological tissues and media in calculation for noninvasive medical spectrophotometry

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