Chapter 6
Light Scattering by Dielectric Bodies
of Irregular Shape in a Layered Medium
Abstract The mathematical model proposed for predicting optical characteristics
(refractive index and absorption coefficient) of a biotissue being simulated, which is
probed in vivo by a laser beam. Blood corpuscles in this case are simulated by particles
of irregular shape and various sizes, which are oriented arbitrarily in free space. Using
the mathematical model constructed earlier, optical characteristics (refractive index
and absorption coefficient) of the biotissue being simulated, probed in vivo by a
laser beam, are analyzed. The action spectra of the laser radiation power absorbed by
oxyhemoglobin and deoxihemoglobin of blood, which are associated with selectivity
of absorption of radiation by these hemoglobin derivatives, are calculated.
6.1 Introduction
In this chapter, we analyze optical and geometrical characteristics of particles simulating erythrocytes in the upper layer of the dermis. It should be noted that hemorheological and microcirculation disorders occupy the leading place in the pathogenesis of
many diseases as well as states and complications. Functional properties of erythrocytes that form the major part of blood cells play the leading role in the formation of
such pathological states. The erythrocyte as a physical object is characterized by the
geometrical size, refractive index, and mechanical properties such as elasticity and
deformability. For this reason, analysis of various characteristics of erythrocytes (in
particular, their size, shape, and refractive index) in connection with various diseases
of the blood system is of certain theoretical and undoubtedly of practical importance.
The possibility of theoretical construction of optical characteristics of dielectric
particles of various shapes and structures has been studied in a number of publications
[1–4].
We will solve the problem of scattering from bodies of an arbitrary shape by the
method of integral equations, which is known as the extended boundary conditions
method (EBCM) [5, 6]. It should be noted that this method gives the exact solution
to the problem of light scattering by a particle of an arbitrary shape in the form
of infinite series; however, the maximal number of expansion terms required for
attaining a reasonable accuracy depends on the shape, size, and refractive index of
© Springer International Publishing AG, part of Springer Nature 2018
K. Kulikov and T. Koshlan, Laser Interaction with Heterogeneous
Biological Tissue, Biological and Medical Physics, Biomedical Engineering,
https://doi.org/10.1007/978-3-319-94114-1_6
103
Light Scattering by Dielectric Bodies
of Irregular Shape in a Layered Medium
Abstract The mathematical model proposed for predicting optical characteristics
(refractive index and absorption coefficient) of a biotissue being simulated, which is
probed in vivo by a laser beam. Blood corpuscles in this case are simulated by particles
of irregular shape and various sizes, which are oriented arbitrarily in free space. Using
the mathematical model constructed earlier, optical characteristics (refractive index
and absorption coefficient) of the biotissue being simulated, probed in vivo by a
laser beam, are analyzed. The action spectra of the laser radiation power absorbed by
oxyhemoglobin and deoxihemoglobin of blood, which are associated with selectivity
of absorption of radiation by these hemoglobin derivatives, are calculated.
6.1 Introduction
In this chapter, we analyze optical and geometrical characteristics of particles simulating erythrocytes in the upper layer of the dermis. It should be noted that hemorheological and microcirculation disorders occupy the leading place in the pathogenesis of
many diseases as well as states and complications. Functional properties of erythrocytes that form the major part of blood cells play the leading role in the formation of
such pathological states. The erythrocyte as a physical object is characterized by the
geometrical size, refractive index, and mechanical properties such as elasticity and
deformability. For this reason, analysis of various characteristics of erythrocytes (in
particular, their size, shape, and refractive index) in connection with various diseases
of the blood system is of certain theoretical and undoubtedly of practical importance.
The possibility of theoretical construction of optical characteristics of dielectric
particles of various shapes and structures has been studied in a number of publications
[1–4].
We will solve the problem of scattering from bodies of an arbitrary shape by the
method of integral equations, which is known as the extended boundary conditions
method (EBCM) [5, 6]. It should be noted that this method gives the exact solution
to the problem of light scattering by a particle of an arbitrary shape in the form
of infinite series; however, the maximal number of expansion terms required for
attaining a reasonable accuracy depends on the shape, size, and refractive index of
© Springer International Publishing AG, part of Springer Nature 2018
K. Kulikov and T. Koshlan, Laser Interaction with Heterogeneous
Biological Tissue, Biological and Medical Physics, Biomedical Engineering,
https://doi.org/10.1007/978-3-319-94114-1_6
103