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