Contents
1 Methods Describing the Interaction of Laser Radiation
with Biological Tissues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
1.2 The Structure and Optical Properties of Biological Tissues . . . .
2
1.3 Structure and Optical Properties of Blood . . . . . . . . . . . . . . . . .
6
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
2 Overview of Theoretical Approaches to the Analysis of Light
Scattering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
2.2 Optical Properties of Tissues with Multiple Scattering . . . . . . . . 11
2.3 Stationary Theory of Radiative Transfer . . . . . . . . . . . . . . . . . . 12
2.4 Approximate Methods for Solving the Transport Equation . . . . 13
2.5 The Nonstationary Theory of Radiative Transfer . . . . . . . . . . . . 20
2.6 Methods for Measuring Optical Parameters of Biological
Tissues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.7 Methods for Solving Inverse Problems of Scattering Theory . . . 23
2.8 Resume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
3 Study of Electrophysical Characteristics of Blood Formed
Elements Using Intracavity Laser Spectroscopy . . . . . . . . . . . . . . . 27
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
3.2 Vector Spherical Harmonics . . . . . . . . . . . . . . . . . . . . . . . . . . 29
3.3 Scattering by a Particle with a Shifted Nucleus . . . . . . . . . . . . . 31
3.4 Scattering by a Group of Spherical Objects . . . . . . . . . . . . . . . 45
3.5 Numerical Study of the Algebraic Equations . . . . . . . . . . . . . . 50
3.6 Scattering Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
ix
1 Methods Describing the Interaction of Laser Radiation
with Biological Tissues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
1.2 The Structure and Optical Properties of Biological Tissues . . . .
2
1.3 Structure and Optical Properties of Blood . . . . . . . . . . . . . . . . .
6
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
2 Overview of Theoretical Approaches to the Analysis of Light
Scattering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
2.2 Optical Properties of Tissues with Multiple Scattering . . . . . . . . 11
2.3 Stationary Theory of Radiative Transfer . . . . . . . . . . . . . . . . . . 12
2.4 Approximate Methods for Solving the Transport Equation . . . . 13
2.5 The Nonstationary Theory of Radiative Transfer . . . . . . . . . . . . 20
2.6 Methods for Measuring Optical Parameters of Biological
Tissues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.7 Methods for Solving Inverse Problems of Scattering Theory . . . 23
2.8 Resume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
3 Study of Electrophysical Characteristics of Blood Formed
Elements Using Intracavity Laser Spectroscopy . . . . . . . . . . . . . . . 27
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
3.2 Vector Spherical Harmonics . . . . . . . . . . . . . . . . . . . . . . . . . . 29
3.3 Scattering by a Particle with a Shifted Nucleus . . . . . . . . . . . . . 31
3.4 Scattering by a Group of Spherical Objects . . . . . . . . . . . . . . . 45
3.5 Numerical Study of the Algebraic Equations . . . . . . . . . . . . . . 50
3.6 Scattering Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
ix