This book discusses the theoretical foundations of the structural modeling method applied to metamaterials. This method takes into account the parameters of the crystal lattice, the size of the medium particles, as well as their shape and constants of force interactions between them. It provides mathematical models of metamaterials that offer insights into the qualitative influence of the local structure on the effective elastic moduli of the considered medium and into performing theoretical estimations of these quantities. This book is useful for researchers working in the fields of solid mechanics, physical acoustics, and condensed matter physics, as well as for graduate and postgraduate students studying mathematical modeling methods.
This book highlights the results of numerical computer-aided smart methods as part of a comprehensive statistical, correlated, and fractal analysis of laser polarimetry. It includes a comprehensive approach to differentiation of lifelong or postmortem origin of injuries and determination of their antiquity based on the analysis of statistical and spatiotemporal frequency evolution of photometric, polarization, and phase parameters of laser images of histological sections of the skin of biomannequins. It discusses the relationship between the coordinate distributions of the intensity of laser images from skin tissues of biomannequins and the nature of its damage. It presents the analysis of relationships between changes in the mean and variance of coordinate distributions of azimuths and ellipticity of polarization images of histological skin sections and the time intervals after injury. Complex differentiation of lifelong and postmortem skin injuries of biomannequins and establishment of their time intervals throughout the entire monitoring interval of changes in the mean and variance of coordinate distributions of phase shifts between orthogonal components of the amplitude of laser images of a series of corresponding histological sections are also presented in this book.
This book describes the state of the art of our understanding of liquid-crystal interfaces on a molecular level. The interactions of liquid crystal molecules with a surface play an essential role in the operation of liquid crystal displays (LCD's) and other LC devices that are based on the controllable anchoring of LC molecules on polymer coated surfaces. This book addresses the microscopic interaction between a macromolecule (liquid crystal, polymer) and a wall, using state of the art surface and interface-sensitive experimental techniques, such as Atomic Force Microscopy (AFM), Scanning Tunneling Microscopy (STM), Linear and Nonlinear Optical Microscopy and (Dynamic) Light Scattering (DLS). These experimental techniques were complemented with computer simulations and supra molecular chemistry methods to develop controllable polymeric surfaces.
This book presents numerical computer-aided smart-methods as part of a comprehensive statistical, correlation and fractal analysis of laser polarimetry data. It highlights relationships between polarization (azimuth distributions, polarization ellipticities, Stokes vector parameters, Mueller matrix elements) parameters of laser images of biological tissues of a human corpse in different spectral ranges and temporal dynamics of their postmortem morphological changes. The book discusses the effectiveness of correlation analysis of two-dimensional distributions of polarization inhomogeneous images of histological sections of the main types of biological tissues in determining the time of death. It also discusses the development of basic principles of phase measurements (phasometry) of microscopic images of biological tissues to determine the age of death and the time of hematoma formation. Also presented in the book are possibilities of complex laser spectral photopolarimetry images of histological sections of biological tissues of human corpse in different spectral regions, with the simultaneous development and substantiation of a set of statistical and correlational criteria for objective determination of the time of death.
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