This one-of-a-kind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the earth's interior, how atmospheric waves are scattered by mountains and ridges, how the scattering of light waves produces the blue sky, and meteorological phenomena such as rainbows and coronas. Rays, Waves, and Scattering is a valuable resource for practitioners, graduate students, and advanced undergraduates in applied mathematics, theoretical physics, and engineering. Bridging the gap between advanced treatments of the subject written for specialists and less mathematical books aimed at beginners, this unique mathematical compendium features problems and exercises throughout that are geared to various levels of sophistication, covering everything from Ptolemy's theorem to Airy integrals (as well as more technical material), and several informative appendixes. Provides a panoramic look at wave motion in many different contexts Features problems and exercises throughout Includes numerous appendixes, some on topics not often covered An ideal reference book for practitioners Can also serve as a supplemental text in classical applied mathematics, particularly wave theory and mathematical methods in physics and engineering Accessible to anyone with a strong background in ordinary differential equations, partial differential equations, and functions of a complex variable

A systematic and accessible treatment of light scattering and transport in disordered media from first principles.

Electromagnetic Scattering is a collection of studies that aims to discuss methods, state of the art, applications, and future research in electromagnetic scattering. The book covers topics related to the subject, which includes low-frequency electromagnetic scattering; the uniform asymptomatic theory of electromagnetic edge diffraction; analyses of problems involving high frequency diffraction and imperfect half planes; and multiple scattering of waves by periodic and random distribution. Also covered in this book are topics such as theories of scattering from wire grid and mesh structures; the electromagnetic inverse problem; computational methods for transmission of waves; and developments in the use of complex singularities in the electromagnetic theory. Engineers and physicists who are interested in the study, developments, and applications of electromagnetic scattering will find the text informative and helpful.

This volume outlines the fundamentals and applications of light scattering, absorption and polarization processes involving ice crystals.

A rigorous self-contained exposition of the mathematical theory for wave propagation and general ray theory in layered viscoelastic media.

This handbook provides a comprehensive overview of lipid membrane fundamentals and applications. It gives the fundamental physical and biochemical aspects of membrane-related processes in living cells, and then relates them to how scientists are building bioinspired, artifical membrane-based systems such as gene delivery vehicles and synthetic membrane interfaces. It highlights the driving mechanism behind lipid self-assembly, membrane shape evolution, and vesicle trafficing, as well as the role of lipid membrane composition in signalling and the structural aspects of membranes in cellular integrity. Key Features: Includes a broad overview on the role of lipids as structural components of membranes, energy storage molecules, and signaling molecules. Covers lipids in signaling and the role of lipids in everyday life, from diet and health to cosmetics and pharmaceuticals. Discusses applications in nanotechnology and biomedicine, including liposomes in drug discovery, lipids for in vivo therapeutics, lipid-based sensors, artificial biointerfaces, and synthetic polymers. Includes an exciting section that explores the practical use of Archae lipids, lipids and the origins of life, and future outlook for the field. This book is a great companion for professionals in physics, biochemistry, physical chemistry and material sciences.

This third edition has been extended considerably to incorporate more information on instrument influences on the interpretation of X-ray scattering profiles and reciprocal space maps. Another significant inclusion is on the scattering from powder samples, covering a new theoretical approach that explains features that conventional theory cannot. The new edition includes some of the latest methodologies and theoretical treatments, including the latest thinking on dynamical theory and diffuse scattering. Recent advances in detectors also present new opportunities for rapid data collection and some very different approaches in data collection techniques; the possibilities associated with these advances will be included. This edition should be of interest to those who use X-ray scattering to understand more about their samples, so that they can make a better judgment of the parameter and confidence levels in their analyses, and how the combination of instrument, sample and detection should be considered as a whole to ensure this.