understanding waves and wave motion

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Wave Motion

Author : J. Billingham
ISBN : 9781316583913
Genre : Mathematics
File Size : 44. 59 MB
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Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.

Wave Motion As Inquiry

Author : Fernando Espinoza
ISBN : 9783319457581
Genre : Science
File Size : 89. 16 MB
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This undergraduate textbook on the physics of wave motion in optics and acoustics avoids presenting the topic abstractly in order to emphasize real-world examples. While providing the needed scientific context, Dr. Espinoza also relies on students' own experience to guide their learning. The book's exercises and labs strongly emphasize this inquiry-based approach. A strength of inquiry-based courses is that the students maintain a higher level of engagement when they are studying a topic that they have an internal motivation to know, rather than solely following the directives of a professor. "Wave Motion" takes those threads of engagement and interest and weaves them into a coherent picture of wave phenomena. It demystifies key components of life around us--in music, in technology, and indeed in everything we perceive--even for those without a strong math background, who might otherwise have trouble approaching the subject matter.

Engineering Physics Volume Iv Wave Motion And Sound

Author :
ISBN : 8187224223
Genre :
File Size : 55. 91 MB
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Wave Motion In Elastic Solids

Author : Karl F. Graff
ISBN : 9780486139579
Genre : Science
File Size : 56. 35 MB
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Self-contained coverage of topics ranging from elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Over 100 problems.

Introduction To The Physics Of Waves

Author : Tim Freegarde
ISBN : 9780521197571
Genre : Science
File Size : 26. 25 MB
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Balancing concise mathematical analysis with real-world examples and practical applications, to provide a clear and approachable introduction to wave phenomena.

Mathematical Theory Of Wave Motion

Author : G. R. Baldock
ISBN : UCSD:31822010394146
Genre : Wave-motion, Theory of
File Size : 32. 92 MB
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The Physics Of Waves And Oscillations

Author : N. K. Bajaj
ISBN : 0074516108
Genre : Oscillations
File Size : 75. 9 MB
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Wave Motion And Applied Science

Author : Jae Filipinas
ISBN : 1773610643
Genre : Wave-motion, Theory of
File Size : 70. 98 MB
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Waves have been a significant part of the development of telecommunications on Earth. Wave motion is a propagation of disturbances, which deviates from a state of rest or equilibrium, from place to place in a consistent and arranged way. The most common or familiar are surface waves on water, but sound and light both travel as wavelike disturbances, and the movement of all subatomic particles that displays wavelike characteristics. The study of waves adheres various forms that the topic of central importance in all physical sciences and engineering. Modern applications such as telephone, mobile phone, telecommunications and wireless technologies arise through the effort of studies confined to wave motion and applied science.The unifying theme of this book is wave motion; its many forms and the changes it undergoes. This book discusses the significance of wave''s motion and the applications it brought to the society. The content is divided into the following chapters:Chapter 1, Wave Motion, discusses the different forms of waves and their propagation. The units and measurement to be applied in the calculations of different kinds of waves, it may either be one dimensional waves or two dimensional waves. In this chapter, most theoretical concepts about waves are presented.Chapter 2, Light Wave, starts with the definition and properties of light, which is from the big family of Electromagnetic waves. Human eyes are very sensitive to this form of electromagnetic waves. This is the only EM which is visible to the naked eyes. Everyday occurrences are utilized to advantage to describe the properties of light. The discussion shows the benefits derivable form from light waves.Chapter 3, Electromagnetic waves, Wider Scope, focuses on the fundamentals of electromagnetic waves. Each form is being discussed broadly for better reference. The advantages that these forms can be used to enhance life, especially, in the field of medicine and engineering.Chapter 4, Radiation and the Earth, gave importance to the transformation of other forms of energy to other forms of energy. Electromagnetic forces and electromagnetic induction are also tackled in this chapter. The discussion also shows the beneficial effects that can be derived from and the environmental hazards and perils that nuclear energy brings.Chapter 5, Electrical waveforms and Signals, focuses on the use of electrical energy in the household. Concepts are tackled with the transformation of electrical energy to other forms, electrical energy consumption. The beneficial concepts that can be derived from electrical energy and the hazards that it may bring to every household that are consuming electrical energy.Chapter 6, Earthquake Waves, centers on the discussion about earthquake. It gives information about the nature of earthquake waves. People must be aware of the intensities brought by earthquake to give awareness and warn the people about the destructions it may cause to both life and properties.Chapter 7, Sound Waves, starts with the nature of sound and the energy it carries that brought different applications that may aid in the progress of the human life when it comes to technology.Chapter 8, Applied Science, denotes the nature of applied science and be aware of the branches that Applied Science has. The benefits and hazards of technology are also discussed in this chapter as well as an understanding of technology invading the society. Technology and courses are also provided for the students to infer and may help in deciding what course they have to take.Chapter 9, Energy Waves and Communication Technologies, tackles how communication evolved via sound waves. In this chapter, the history of the creation of telephone was discussed and how the telephone was considered as a major breakthrough in the field of science and technology. Concurrently to the creation of the telephone is the launching of electronic transport network. The telephone system or how the telephone transmits information from wire to wire.Chapter 10, Wireless Communication Technology, discusses the launching of wireless communication through radio transport network. Wireless technological advances are also presented to keep the society abreast with advances in science and technology. How communication keeps the people in touch who are separated by geographical distances. A historical concept of every topic in every chapter was given emphasis to provide the development of physical theories and technological advances is included to highpoint the humanistic aspect of Science.The author hopes that this book will be an instrument for every student to become more conscious of the significance and relevance of science, specifically physics and technology in their everyday life.

Wave Fields In Real Media

Author : José M. Carcione
ISBN : 008046890X
Genre : Science
File Size : 55. 67 MB
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This book examines the differences between an ideal and a real description of wave propagation, where ideal means an elastic (lossless), isotropic and single-phase medium, and real means an anelastic, anisotropic and multi-phase medium. The analysis starts by introducing the relevant stress-strain relation. This relation and the equations of momentum conservation are combined to give the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. The book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful. * Presents the fundamentals of wave propagation in anisotropic, anelastic and porus media * Contains a new chapter on the analogy between acoustic and electromagnetic waves, incorporating the subject of electromagnetic waves * Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil

Effective Computational Methods For Wave Propagation

Author : Nikolaos A. Kampanis
ISBN : 1420010875
Genre : Mathematics
File Size : 83. 88 MB
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Due to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable computational methods used to describe wave propagation phenomena in selected areas of physics and technology. Featuring contributions from internationally known experts, the book is divided into four parts. It begins with the simulation of nonlinear dispersive waves from nonlinear optics and the theory and numerical analysis of Boussinesq systems. The next section focuses on computational approaches, including a finite element method and parabolic equation techniques, for mathematical models of underwater sound propagation and scattering. The book then offers a comprehensive introduction to modern numerical methods for time-dependent elastic wave propagation. The final part supplies an overview of high-order, low diffusion numerical methods for complex, compressible flows of aerodynamics. Concentrating on physics and technology, this volume provides the necessary computational methods to effectively tackle the sources of problems that involve some type of wave motion.

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