Synthesis Lectures on Wave Phenomena in the Physical Sciences - Böcker

This is an introductory book about nonlinear waves. It focuses on two properties that various different wave phenomena have in common, the "nonlinearity" and "dispersion", and explains them in a style that is easy to understand for first-time students.Both of these properties have important effects on wave phenomena. Nonlinearity, for example, makes the wave lean forward and leads to wave breaking, or enables waves with different wavenumber and frequency to interact with each other and exchange their energies.Dispersion, for example, sorts irregular waves containing various wavelengths into gentler wavetrains with almost uniform wavelengths as they propagate, or cause a difference between the propagation speeds of the wave waveform and the wave energy.Many phenomena are introduced and explained using water waves as an example, but this is just a tool to make it easier to draw physical images. Most of the phenomena introduced in this book are common to all nonlinear and dispersive waves.This book focuses on understanding the physical aspects of wave phenomena, and requires very little mathematical knowledge. The necessary minimum knowledges about Fourier analysis, perturbation method, dimensional analysis, the governing equations of water waves, etc. are provided in the text and appendices, so even second- or third-year undergraduate students will be able to fully understand the contents of the book and enjoy the fan of nonlinear wave phenomena without relying on other books.

This book is to help post-graduate students to get into gravitational wave astronomy. We assume the knowledge of General Relativity theory, though we will concentrate on the physics and often omit mathematically strict derivations.

Gravitational wave (GW) research is one of the most rapidly developing subfields in experimental physics today. The theoretical underpinnings of this endeavor trace to the discussions of the "speed of gravity" in the 18th century, but the modern understanding of this phenomena was not realized until the middle of the 20th century.

Proteins and macromolecular structures represent one of the most important building blocks for a variety of biological processes.

This book discusses light, its properties as an electromagnetic wave, interaction with matter, and laser as an optical device.

This book discusses light, its properties as an electromagnetic wave, interaction with matter, and laser as an optical device.

The nature of sound is, nowadays, well known and understood so that sound could be synthetically described like the propagation of vibration in elastic media.?Sound waves propagate as longitudinal waves, transverse waves, or in mixed modes in different media.

The nature of sound is, nowadays, well known and understood so that sound could be synthetically described like the propagation of vibration in elastic media.?Sound waves propagate as longitudinal waves, transverse waves, or in mixed modes in different media.

This book discusses acoustic waves in five chapters. Chapter 2 presents the acoustic waves in fluid and solids, including the wave equations in the respective media. Chapter 3 discusses the propagation of audible acoustic waves in the air. Chapter 4 discusses the propagation of acoustic waves in solids.

This book discusses acoustic waves in five chapters. Chapter 2 presents the acoustic waves in fluid and solids, including the wave equations in the respective media. Chapter 3 discusses the propagation of audible acoustic waves in the air. Chapter 4 discusses the propagation of acoustic waves in solids.

Most physical phenomena exhibit spatiotemporal features interpreted as wave dynamics. Presents real-world examples of oscillatory and wave systems to help the reader understand wave dynamics while explaining numerical methods.

Most physical phenomena exhibit spatiotemporal features interpreted as wave dynamics. Various diagnostic technologies use some waves such as light, sound, and microwaves. A proper understanding of wave dynamics is essential to interpret these physical phenomena and apply the technology efficiently. However, the physics underlying the wave-like behavior of real-world systems is not necessarily straightforward. Often the mathematical description of these physics is hard to understand. Consequently, the interpretation of diagnostic signals is not simple, which sometimes leads to an incorrect diagnosis. This book aims to solve these problems by describing the related topics on a sound physical basis and explaining them intuitively for easy digestion. Presents real-world examples of oscillatory and wave systems to help the reader understand wave dynamics while explaining numerical methods. Explains the physics and mathematics underlying wave dynamics in intuitive fashions.

Numerical calculations (what many call computational physics) is a core tool in modern physics. This text goes through the techniques to create a numerical model of the wave equation starting from the very basics and using free and open source tools such as Python and Web VPython.