Electromagnetic Properties of Multiphase Dielectrics

Electromagnetic Properties of Multiphase Dielectrics

Recently, several applications, primarily driven by microtechnology, have emerged where the use of materials with tailored electromagnetic (dielectric) properties are necessary for a successful overall design. The “tailored” aggregate properties are achieved by combining an easily moldable base matrix with particles having dielectric properties that are chosen to deliver (desired) effective properties. In many cases, the analysis of such materials requires the simulation of the macroscopic and microscopic electromagnetic response, as well as its resulting coupled thermal response, which can be important to determine possible failures in “hot spots.” This necessitates a stress analysis. Furthermore, because, oftentimes, such processes initiate degratory chemical processes, it can be necessary to also include models for these processes as well. A central objective of this work is to provide basic models and numerical solution strategies to analyze the coupled response of such materials by direct simulation using standard laptop/desktop equipment. Accordingly, this monograph covers: (1) The foundations of Maxwell’s equations, (2) Basic homogenization theory,(3) Coupled systems (electromagnetic, thermal, mechanical and chemical),(4) Numerical methods and(5) An introduction to select biological problems.The text can be viewed as a research monograph suitable for use in an upper-division undergraduate or first year graduate course geared towards students in the applied sciences, mechanics and mathematics that have an interest in the analysis of particulate materials.

Electromagnetic Properties of Multiphase Dielectrics

Atoms, Molecules and Photons

Atoms, Molecules and Photons

This introduction to Atomic and Molecular Physics explains how our present model of atoms and molecules has been developed over the last two centuries, both by many experimental discoveries and, from the theoretical side, by the introduction of quantum physics to the adequate description of micro-particles. It illustrates the wave model of particles by many examples and shows the limits of classical description. The interaction of electromagnetic radiation with atoms and molecules and its potential for spectroscopy is outlined in great detail and, in particular, lasers as modern spectroscopic tools are discussed thoroughly. Many examples and problems with solutions are offered to encourage readers to actively participate in applying and adapting the fundamental physics presented in this textbook to specific situations.

Atoms, Molecules and Photons

Vortex, Molecular Spin and Nanovorticity

Vortex, Molecular Spin and Nanovorticity

The subject of this book is the physics of vortices. A detailed analysis of the dynamics of vortices will be presented. The important topics of vorticity and molecular spin will be dealt with, including the electromagnetic analogy and quantization in superfluids. The effect of molecular spin on the dynamics of molecular nano-confined fluids using the extended Navier-Stokes equations will also be covered especially important to the theory and applicability of nanofluidics and associated devices. The nanoscale boundary layer and nanoscale vortex core are regions of intense vorticity (molecular spin). It will be shown, based on molecular kinetic theory and thermodynamics, that the macroscopic (solid body) rotation must be accompanied by internal rotation of the molecules. Electric polarization of the internal molecular rotations about the local rotation axis the Barnett effect occurs. In such a spin aligned system, major changes in the physical properties of the fluid result.

Vortex, Molecular Spin and Nanovorticity

Electromagnetic Properties of Multiphase Dielectrics

Electromagnetic Properties of Multiphase Dielectrics

Recently, several applications, primarily driven by microtechnology, have emerged where the use of materials with tailored electromagnetic (dielectric) properties are necessary for a successful overall design. The “tailored” aggregate properties are achieved by combining an easily moldable base matrix with particles having dielectric properties that are chosen to deliver (desired) effective properties. In many cases, the analysis of such materials requires the simulation of the macroscopic and microscopic electromagnetic response, as well as its resulting coupled thermal response, which can be important to determine possible failures in “hot spots.” This necessitates a stress analysis. Furthermore, because, oftentimes, such processes initiate degratory chemical processes, it can be necessary to also include models for these processes as well. A central objective of this work is to provide basic models and numerical solution strategies to analyze the coupled response of such materials by direct simulation using standard laptop/desktop equipment. Accordingly, this monograph covers: (1) The foundations of Maxwell’s equations, (2) Basic homogenization theory,(3) Coupled systems (electromagnetic, thermal, mechanical and chemical),(4) Numerical methods and(5) An introduction to select biological problems.The text can be viewed as a research monograph suitable for use in an upper-division undergraduate or first year graduate course geared towards students in the applied sciences, mechanics and mathematics that have an interest in the analysis of particulate materials.

Electromagnetic Properties of Multiphase Dielectrics

Tensors and Their Applications

Tensors and Their Applications

The Book Is Written Is In Easy-To-Read Style With Corresponding Examples. The Main Aim Of This Book Is To Precisely Explain The Fundamentals Of Tensors And Their Applications To Mechanics, Elasticity, Theory Of Relativity, Electromagnetic, Riemannian Geometry And Many Other Disciplines Of Science And Engineering, In A Lucid Manner. The Text Has Been Explained Section Wise, Every Concept Has Been Narrated In The Form Of Definition, Examples And Questions Related To The Concept Taught. The Overall Package Of The Book Is Highly Useful And Interesting For The People Associated With The Field.

Tensors and Their Applications