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Fundamentals of Waves and Oscillations

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ISBN-10: 052133957X

ISBN-13: 9780521339575

Edition: 1988

Authors: K. Uno Ingard

List price: $133.00
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Description:

This is a complete introduction to the theory of waves and oscillations as encountered by physics and engineering students. It discusses both the mathematical theory and the physics of phenomena such as waves in fluids, electromagnetic waves, and discrete coupled oscillators in mechanics and electronics. The author gives a description of the mathematics of complex amplitudes and introduces forced and free oscillations and normal modes of resonance. Chapters cover wave guides, barrier penetration, and electromagnetic transmission. One section, devoted solely to surface waves, includes a discussion on light scattering and the determination of surface tension and viscosity, plasma…    
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Book details

List price: $133.00
Copyright year: 1988
Publisher: Cambridge University Press
Publication date: 7/28/1988
Binding: Paperback
Pages: 612
Size: 7.25" wide x 10.00" long x 1.25" tall
Weight: 2.046
Language: English

Preface
Oscillations
Review of elementary concepts and examples
Introduction
Harmonic motion defined
The mass--spring oscillator
Examples of harmonic motion
The two-body oscillator. Reduced mass
Two-dimensional oscillator
Nonlinear oscillations
Forced harmonic motion
Free damped motion
Problems
The complex amplitude
A review of complex numbers
Euler's formula
The complex amplitude of a harmonic function
Discussion
Examples
Problems
Forced oscillations and frequency response
Electro-mechanical analogies
Frequency response
Impedance and admittance
Power transfer
Sources of vibration
Examples
Fourier analysis
Arbitrary driving force
Examples
Problems
Free oscillations and impulse response
Free oscillations
Impulse response
Response to an arbitrary driving force
Transition to steady state
Discussion
Examples
Problems
Coupled oscillators
Forced harmonic motion
Free motion. Normal modes
Weakly coupled oscillators. Beats
Impulse response
Orthogonality. Configuration space
Unequal coupled oscillators
Examples
Problems
Waves
Fundamentals of waves
What is a wave?
Description of waves (kinematics)
Dynamics. Field equations
Harmonic waves and complex amplitude equations
Examples of waves
Simple demonstrations
Wave power
Wave pulse
Waves in two and three dimensions
Examples
Problems
Wave reflection, transmission, and absorption
Wave reflection at a junction
Energy absorption at a termination
Wave reflection and elastic collisions
Examples
Problems
Resonances and normal modes
Forced harmonic waves
Forced harmonic motion of the real mass-spring oscillator
Free oscillations and normal modes
Normal mode expansion. Fourier series
Continuous harmonic force distribution
Normal modes in two and three dimensions
Density of normal modes
Examples
Problems
Electromagnetic waves
Review of units
EM waves on a cable reconsidered
Maxwell's equations
Plane EM waves
Generation of EM waves
Polarization
Dispersion of EM waves
Examples
Problems
Acoustic waves in fluids
Description of fluid motion
Fluid equations
Acoustic field equations
Spherical waves
The acoustic spectrum
Measurements
Problems
Wave interference and diffraction
Interference of two plane waves
Interference of waves from an array of sources
Continuous source distribution
Diffraction
Diffraction limited resolution
Coherence and incoherence
Examples
Problems
Refraction and reflection
Trace velocity and Snell's law
Acoustic reflection and transmission coefficients
EM reflection and transmission coefficients
Total reflection
Refraction in a moving medium
Inhomogeneous medium
Examples
Problems
The Doppler effect
Mechanical waves
Electromagnetic waves
Problems
Periodic structures. Dispersion
Wave transmission on a mass-spring lattice
Wave packet and group velocity
Wave impedance and energy flow
Wave attenuation
Normal modes of a one-dimensional lattice
General motion and impulse response of a periodic lattice
Problems
Wave guides and cavities
Propagating and decaying waves
Acoustic waves in a rectangular wave guide
EM waves in a rectangular wave guide
Normal modes in a rectangular cavity
Problems
Matter waves
Review
Free particle wave function
The Uncertainty Principle
Effect of potential. Barrier penetration
Refraction of matter waves
Stationary states. Schroedinger equation
Problems
Special Topics
Radiation and scattering
Sound radiation from a pulsating sphere
Multipole sources
Nonuniform spherical source. Spherical harmonics
Radiation from a continuous source distribution
Huygens' principle and scattering
Acoustic scattering
Electromagnetic scattering
Problems
Surface waves on a liquid
Waves on shallow water
Surface tension
Waves on deep water. Effect of surface tension
Effect of viscosity
Thermal ripples and Brillouin scattering
Liquid-liquid interface. Critical phenomenon
Problems
Plasma oscillations and hydromagnetic waves
The plasma state
Longitudinal waves. (Plasma oscillations)
Transverse waves. (Hydromagnetic or Alfven waves)
Problems
Waves in solids
Longitudinal waves in a rod
Shear waves
Wave reflection. Energy considerations
Bending waves on a plate
Displacement, deformation, and rotation
Stress-strain relation
Relations between elastic constants
Longitudinal and transverse waves
Wave conversion
The Rayleigh wave
Seismology
Problems
Feedback oscillations
The frequency equation
Valve instability
Instability of a vortex sheet
Whistles and wind instruments
Lasers
Heat maintained oscillations. The Rijke tube
Examples
Problems
Index