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"The book presents a unified and self-sufficient and reader-friendly introduction to the anisotropic elasticity theory necessary to model a wide range of point, line, planar and volume type crystal defects (e.g., vacancies, dislocations, interfaces, inhomogeneities and inclusions). The necessary elasticity theory is first developed along with basic methods for obtaining solutions. This is followed by a detailed treatment of each defect type. Included are analyses of their elastic fields and energies, their interactions with imposed stresses and image stresses, and the interactions that occur between them, all employing the basic methods introduced earlier. All results are derived in full with intermediate steps shown, and "it can be shown" is avoided. A particular effort is made to describe and compare different methods of solving important problems. Numerous exercises (with solutions) are provided to strengthen the reader's understanding and extend the immediate text. In the 2nd edition an additional chapter has been added which treats the important topic of the self-forces that are experienced by defects that are extended in more than one dimension. A considerable number of exercises have been added which expand the scope of the book and furnish further insights. Numerous sections of the book have been rewritten to provide additional clarity and scope. The major aim of the book is to provide, in one place, a unique and complete introduction to the anisotropic theory of elasticity for defects written in a manner suitable for both students and professionals"

Crystallography, Mathematical --- Elasticity --- Crystals --- Elastic analysis (Engineering) --- Cristallographie mathématique. --- Élasticité. --- Analyse élastique (ingénierie) --- Cristaux --- Defects --- Défauts. --- Cristallographie mathématique. --- Élasticité. --- Analyse élastique (ingénierie) --- Défauts.

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This thesis reports the remarkable discovery that, by arranging the dipoles in an ordered array with particular spacings, it is possible to greatly enhance the cross-section and achieve a strong light-matter coupling (>98% of the incident light). It also discusses the broad background to cooperative behaviour in atomic ensembles, and analyses in detail effects in one- and two-dimensional atomic arrays. In general, when light interacts with matter it excites electric dipoles and since the nineteenth century it has been known that if the amplitude of these induced dipoles is sufficiently large, and their distance apart is on the scale of the wavelength of the light, then their mutual interaction significantly modifies the light–matter interaction. However, it was not known how to exploit this effect to modify the light–matter interaction in a desirable way, for example in order to enhance the optical cross-section.

Physics. --- Atoms. --- Matter. --- Optics, Lasers, Photonics, Optical Devices. --- Atoms and Molecules in Strong Fields, Laser Matter Interaction. --- Crystallography and Scattering Methods. --- Dipole moments. --- Lattice theory. --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Electric dipole moments --- Chemistry, Physical and theoretical --- Dielectrics --- Magnetic dipoles --- Matter --- Molecules --- Polarization (Electricity) --- Quadrupole moments --- Quadrupoles --- Constitution --- Crystallography. --- Leptology --- Physical sciences --- Mineralogy --- Lasers. --- Photonics. --- Natural philosophy --- Philosophy, Natural --- Dynamics --- Stereochemistry --- New optics --- Optics --- Light amplification by stimulated emission of radiation --- Masers, Optical --- Optical masers --- Light amplifiers --- Light sources --- Optoelectronic devices --- Nonlinear optics --- Optical parametric oscillators

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This book provides a first course on lattices – mathematical objects pertaining to the realm of discrete geometry, which are of interest to mathematicians for their structure and, at the same time, are used by electrical and computer engineers working on coding theory and cryptography. The book presents both fundamental concepts and a wealth of applications, including coding and transmission over Gaussian channels, techniques for obtaining lattices from finite prime fields and quadratic fields, constructions of spherical codes, and hard lattice problems used in cryptography. The topics selected are covered in a level of detail not usually found in reference books. As the range of applications of lattices continues to grow, this work will appeal to mathematicians, electrical and computer engineers, and graduate or advanced undergraduate in these fields.

Lattice theory. --- Mathematics. --- Data encryption (Computer science). --- Coding theory. --- Convex geometry. --- Discrete geometry. --- Convex and Discrete Geometry. --- Coding and Information Theory. --- Data Encryption. --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Discrete groups. --- Cryptology. --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Cryptography --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Groups, Discrete --- Infinite groups --- Discrete mathematics --- Convex geometry . --- Information theory. --- Communication theory --- Communication --- Cybernetics --- Geometry --- Combinatorial geometry