Grab your ol' flip-flops and your sunblock, too, for this fun-in-the-sun story told to the tune of the debut original song by Lennon and Maisy Stella, stars of the hit ABC show Nashville. Head to www.harpercollinschildrens.com/inthewaves to listen and sing along as the girls gather their boogie boards and sip homemade lemonade. With a sweet surprise ending, this story will delight readers young and old, and with photos of the girls from years past, this picture book keepsake is the perfect present for any Lennon and Maisy fan.
Using numerous mathematical and numerical techniques of diffraction theory, Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves provides a full and richly illustrated description of waves in focal regions. Unlike most books, the author treats electromagnetic, acoustic, and water waves in one comprehensive volume. After an introductory section, the book describes approximate diffraction theories and efficient numerical methods to study the focusing of various kinds of waves. It then covers the physical interpretation of the theories, their accuracy, and the computational savings obtained, emphasizing uniform asymptotic results that remain valid in the vicinity of shadow boundaries and caustics. The next part deals with the focusing of scalar waves, including thorough theoretical analyses and detailed contour maps of diffraction patterns in focal regions for a variety of different system parameters, such as f-number, Frensel number, aperture shape, amplitude distribution, and wavefront aberration. The author proceeds to explore the diffraction and focusing of electromagnetic waves. First solutions are derived for fields radiated by sources, reflected and refracted at plane interfaces, or diffracted by apertures in plane screens, and then these solutions are applied to study the focusing in homogeneous media and through a plane dielectric interface. In both cases, the author includes many computed results of the electromagnetic field distribution near focus. Presenting both theoretical and experimental results, the following part examines the focusing of sound and water waves by means of zone-plate lenses. The book concludes with a detailed study of the diffraction and focusing of water waves and a comparison of the results of both linear and nonlinear theories with those of experiments.
Musical sounds are some of the most mobile human elements, crossing national, cultural, and regional boundaries at an ever-increasing pace in the twentieth and twenty-first centuries. Whole musical products travel easily, though not necessarily intact, via musicians, CDs (and earlier, cassettes), satellite broadcasting, digital downloads, and streaming. The introductory chapter by the volume editors develops two framing metaphors: “traveling musics” and “making waves.” The wave-making metaphor illuminates the ways that traveling musics traverse flows of globalization and migration, initiating change, and generating energy of their own. Each of the nine contributors further examines music—its songs, makers, instruments, aurality, aesthetics, and images—as it crosses oceans, continents, and islands. In the process of landing in new homes, music interacts with older established cultural environments, sometimes in unexpected ways and with surprising results. They see these traveling musics in Hawai‘i, Asia, and the Pacific as “making waves”—that is, not only riding flows of globalism, but instigating ripples of change. What is the nature of those ripples? What constitutes some of the infrastructure for the wave itself? What are some of the effects of music landing on, transported to, or appropriated from distant shores? How does the Hawai‘i-Asia-Pacific context itself shape and get shaped by these musical waves? The two poetic and evocative metaphors allow the individual contributors great leeway in charting their own course while simultaneously referring back to the influence of their mentor and colleague Ricardo D. Trimillos, whom they identify as “the wave maker.” The volume attempts to position music as at once ritual and entertainment, esoteric and exoteric, tradition and creativity, within the cultural geographies of Hawai‘i, Asia, and the Pacific. In doing so, they situate music at the very core of global human endeavors.
Waves in Neural Media: From Single Neurons to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a pedagogical account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weakly nonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation of action potentials has inspired new mathematics, particularly with regard to the PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interesting mathematical questions with regard to the solution of nonlocal integro-differential equations. Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlinear dynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate course on ordinary differential equations or partial differential equations, making this an accessible and unique contribution to the field of mathematical biology.
In the years since the book of Lozanskii and Firsov "The Theory of Spark" [1975] was published, a number of experimental and theoretical studies in the physics of electric breakdown in gases were conducted. As a result of these studies, the concept of a wavelike nature of breakdown initiated by single high-voltage electric pulses or by a constant electric field was confirmed. Theoretical models in which the concept of breakdown in a constant external field was developed were first exposed in the above-named book in the chapter "Development of a streamer regarded as an ionization wave," written by Rodin and Starostin. This book treats the initial stage of electric breakdown as a wave pro cess. The wavelike nature of the phenomena under consideration is pre sented for streamers and sliding discharges, for electric breakdown develop ment in long discharge tubes as well as in gas-filled gaps. Chapter 1 gives a qualitative consideration of phenomena determin ing the electric breakdown of gases. The experimental data and theoretical results are exposed and discussed with application to streamers, plane ion ization waves, breakdown waves in long tubes, and propagation of sliding discharges. The subject of this chapter may be considered as an area of applications of different theoretical models, formulas, and estimates that are presented in other chapters of the book.
Instagram sensation Clark Little shares his most remarkable photographs from inside the breaking wave, with a foreword by world surfing champion Kelly Slater. “One of the world’s most amazing water photographers . . . Now we get to experience up-close these moments of bliss.”—Jack Johnson, musician and environmentalist Surfer and photographer Clark Little creates deceptively peaceful pictures of waves by placing himself under the deadly lip as it is about to hit the sand. "Clark's view" is a rare and dangerous perspective of waves from the inside out. Thanks to his uncanny ability to get the perfect shot--and live to share it--Little has garnered a devout audience, been the subject of award-winning documentaries, and become one of the world's most recognizable wave photographers. Clark Little: The Art of Waves compiles over 150 of his images, including crystalline breaking waves, the diverse marine life of Hawaii, and mind-blowing aerial photography. This collection features his most beloved pictures, as well as work that has never been published in book form, with Little's stories and insights throughout. Journalist Jamie Brisick contributes essays on how Clark gets the shot, how waves are created, swimming with sharks, and more. With a foreword by eleven-time world surfing champion Kelly Slater and an afterword by the author on his photographic practice and technique, Clark Little: The Art of Waves offers a rare view of the wave for us to enjoy from the safety of land.
Bivectors occur naturally in the description of elliptically polarized homogeneous and inhomogeneous plane waves. The description of a homogeneous plane wave generally involves a vector (the unit vector along the propagation direction) and a bivbector (the complex amplitude of the wave). Inhomogeneous plane waves are described in terms of two bivectors - the complex amplitude and the complex slowness. The use of bivectors and their associated ellipses is essential for the presentation of the 'directional ellipse' method given in this book, in deriving all possible inhomogeneous plane wave solutions in a given context. The purpose of this book is to give an extensive treatment of the properties of bivectors and to show how these may be applied to the theory of homogeneous and inhomogeneous plane waves. For each chapter there are exercises with answers, many of which present further useful properties which are referred to afterwards. The material in this book is suitable for senior undergraduate and first year graduate students. It will also prove useful for researchers interested in homogeneous and inhomogeneous plane waves.
This book describes the forecasting and risk evaluation of tsunamis by tectonic motion, land slides, explosions, run-up, and maps the tsunami sources in the world's oceans. It presents stochastic Monte-Carlo simulations and focusing mechanisms for rogue waves, nonlinear wave models, breather formulas, and the kinematics of the Draupner wave. Coverage also reveals the full story about the discovery of the very large oceanic internal waves.
The study of sea waves has always been in the focus of mankind's atten tion. This is attributed not only to a desire to understand the behaviour in seas and oceans, but also, it has some practical necessity. Developing up-to date wind wave numerical methods requires detailed mathematical modelling, starting with wave generation, development, propagation and transformation on the surface in different water areas under quasi-stationary conditions, up to a synthesis of climatic features observed under different wave generation conditions in oceans, sea or coastal areas. The present monograph considers wind waves in terms of the most general formulation of the problem as a probable hydrodynamic process with wide spatial variability. It ranges between the global scale of the oceans, whose typical size is comparable with the Earth's radius, to the regional and local scales of the seas, including water areas limited in space with significant current or depth gradients in coastal zones, where waves cease their existence having propagated tens of thousand miles.
