3.7 Eigenmodes of the Optical Cavity Containing a Cell
of Spherical Particles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
3.8 Numerical Calculations for the Resonator with a Simulated
Medium and Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
4 Mathematical Models of the Interaction of Laser Radiation
with Turbid Media . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
4.2 An Electrodynamic Model of the Optical Characteristics
of Blood and Capillary Blood Flow Rate . . . . . . . . . . . . . . . . . 69
4.3 Reflection of a Plane Wave from a Layer with a Slowly
Varying Thickness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
4.4 Reflection of a Gaussian Beam from a Layer with a Slowly
Varying Thickness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
4.5 The Reflected Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
4.6 Calculation of the Rate of Blood Flow in a Capillary . . . . . . . . 83
4.7 Numerical Calculations for a Model Medium
and Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
5 Study of the Optical Characteristics of a Biotissue
with Large-Scale Inhomogeneities . . . . . . . . . . . . . . . . . . . . . . . . . . 89
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89
5.2 Scattering of a Plane Wave from the Rough Surface . . . . . . . . . 90
5.3 The Scattered Field on the Fractal Surface . . . . . . . . . . . . . . . . 94
5.4 Reflection of a Plane Wave from a Layer with Allowance
for Surface Roughness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
5.5 Numerical Calculations for a Model Medium
and Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
6 Light Scattering by Dielectric Bodies of Irregular Shape
in a Layered Medium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103
6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103
6.2 Matrix Formulation of Scattering for the jth Particle
of an Arbitrary Shape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
6.3 Explicit Expressions for the Integrals with Vector Products
of Vector Spherical Functions . . . . . . . . . . . . . . . . . . . . . . . . . 108
6.4 Matrix Formulation of Scattering for the jth Bilayer Particle
of an Arbitrary Shape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
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