10
2 Overview of Theoretical Approaches to the Analysis of Light Scattering
of optical technologies. The use of light scattering techniques for biological particles
was developed in the articles based on the Mie theory for single, two and three
particles [3].
With the help of a two-layer model of the sphere one hase described lightscattering properties of suspensions of erythrocyte [4, 5].
Note that the first articles involving the exact theory of electromagnetic waves of
a two-layer sphere considered a model of biological particles [6, 7]:
1. the refractive index of the particle and its shape;
2. parts inside the particle, i.e, antrum, small inhomogeneities [8, 9].
These studies have identified the optical properties of the typical representatives of
biological particles: angular dependence of the red blood cells, in reducing platelets,
which are associated with changes in cell shape. Effects of aggregation and dispersion.
As also the different characteristics of the native cell were evaluated [10, 11].
However, elucidating the physical mechanisms of living systems and the development of pathological changes requires new methods for studying living matter
and the manipulation of biological structures. Thus, in the optics of scattering media
there are three main directions.
The first direction. This direction is connected with the solution of diffraction
problems for the individual plates and the linking characteristics of the absorption
and scattering of the optical geometry and structural parameters of the particles. In
this field of research a number of new methods and algorithms has been developed
to obtain quantitative results for a broad class of sizes, shapes, structures, and optical
parameters of the particles.
The second direction of light scattering theory is associated with the equation of
radiative transfer. This equation uses the photometric values and phenomenological
characteristics of the environment, namely, the scattering coefficient, absorption and
scattering function of volume. In the multiple scattering theory of transport phenomenology is taken into account and based on the law of conservation of energy
and the concept of radiation intensity.
The third direction of scattering theory, electrodynamics consideres statistically
inhomogeneous media. This approach takes into account the multiple scattering of
waves (MSW) in the discrete or continuous irregularities and the vector nature of the
electromagnetic field. The theory of multiple scattering of waves is based on simple
physical principles. First, we assume that we know the spatial configuration of all
the particles and their statistical properties. Secondly, it is assumed that we know
scattering operator of a single particle, which describes the scattered field for a given
excited field. Note that the excited field is the sum of the incident field and the field of
multiple scattering from all other particles, because we consider the electrodynamic
of system interaction with multipole oscillators. Thus,to find an excited field with all
possible orders of scattering from all the interacting particles, is the main difficulty
of the theory.
Various versions of this theory differ primarily only in the ways of approximate
calculation of the excited field with the statistical properties of the ensemble, which
2 Overview of Theoretical Approaches to the Analysis of Light Scattering
of optical technologies. The use of light scattering techniques for biological particles
was developed in the articles based on the Mie theory for single, two and three
particles [3].
With the help of a two-layer model of the sphere one hase described lightscattering properties of suspensions of erythrocyte [4, 5].
Note that the first articles involving the exact theory of electromagnetic waves of
a two-layer sphere considered a model of biological particles [6, 7]:
1. the refractive index of the particle and its shape;
2. parts inside the particle, i.e, antrum, small inhomogeneities [8, 9].
These studies have identified the optical properties of the typical representatives of
biological particles: angular dependence of the red blood cells, in reducing platelets,
which are associated with changes in cell shape. Effects of aggregation and dispersion.
As also the different characteristics of the native cell were evaluated [10, 11].
However, elucidating the physical mechanisms of living systems and the development of pathological changes requires new methods for studying living matter
and the manipulation of biological structures. Thus, in the optics of scattering media
there are three main directions.
The first direction. This direction is connected with the solution of diffraction
problems for the individual plates and the linking characteristics of the absorption
and scattering of the optical geometry and structural parameters of the particles. In
this field of research a number of new methods and algorithms has been developed
to obtain quantitative results for a broad class of sizes, shapes, structures, and optical
parameters of the particles.
The second direction of light scattering theory is associated with the equation of
radiative transfer. This equation uses the photometric values and phenomenological
characteristics of the environment, namely, the scattering coefficient, absorption and
scattering function of volume. In the multiple scattering theory of transport phenomenology is taken into account and based on the law of conservation of energy
and the concept of radiation intensity.
The third direction of scattering theory, electrodynamics consideres statistically
inhomogeneous media. This approach takes into account the multiple scattering of
waves (MSW) in the discrete or continuous irregularities and the vector nature of the
electromagnetic field. The theory of multiple scattering of waves is based on simple
physical principles. First, we assume that we know the spatial configuration of all
the particles and their statistical properties. Secondly, it is assumed that we know
scattering operator of a single particle, which describes the scattered field for a given
excited field. Note that the excited field is the sum of the incident field and the field of
multiple scattering from all other particles, because we consider the electrodynamic
of system interaction with multipole oscillators. Thus,to find an excited field with all
possible orders of scattering from all the interacting particles, is the main difficulty
of the theory.
Various versions of this theory differ primarily only in the ways of approximate
calculation of the excited field with the statistical properties of the ensemble, which
