Preface |
Oscillations / Part 1: |
Review of elementary concepts and examples / 1: |
Introduction / 1.1: |
Harmonic motion defined / 1.2: |
The mass--spring oscillator / 1.3: |
Examples of harmonic motion / 1.4: |
The two-body oscillator. Reduced mass / 1.5: |
Two-dimensional oscillator / 1.6: |
Nonlinear oscillations / 1.7: |
Forced harmonic motion / 1.8: |
Free damped motion / 1.9: |
Problems |
The complex amplitude / 2: |
A review of complex numbers / 2.1: |
Euler's formula / 2.2: |
The complex amplitude of a harmonic function / 2.3: |
Discussion / 2.4: |
Examples |
Forced oscillations and frequency response / 3: |
Electro-mechanical analogies / 3.1: |
Frequency response / 3.2: |
Impedance and admittance / 3.3: |
Power transfer / 3.4: |
Sources of vibration / 3.5: |
Fourier analysis / 3.6: |
Arbitrary driving force / 3.8: |
Free oscillations and impulse response / 4: |
Free oscillations / 4.1: |
Impulse response / 4.2: |
Response to an arbitrary driving force / 4.3: |
Transition to steady state / 4.4: |
Coupled oscillators / 4.5: |
Free motion. Normal modes / 5.1: |
Weakly coupled oscillators. Beats / 5.3: |
Orthogonality. Configuration space / 5.4: |
Unequal coupled oscillators / 5.6: |
Waves / Part 2: |
Fundamentals of waves / 6: |
What is a wave? / 6.1: |
Description of waves (kinematics) / 6.2: |
Dynamics. Field equations / 6.3: |
Harmonic waves and complex amplitude equations / 6.4: |
Examples of waves / 6.5: |
Simple demonstrations / 6.6: |
Wave power / 6.7: |
Wave pulse / 6.8: |
Waves in two and three dimensions / 6.9: |
Wave reflection, transmission, and absorption / 7: |
Wave reflection at a junction / 7.1: |
Energy absorption at a termination / 7.2: |
Wave reflection and elastic collisions / 7.3: |
Resonances and normal modes / 8: |
Forced harmonic waves / 8.1: |
Forced harmonic motion of the real mass-spring oscillator / 8.2: |
Free oscillations and normal modes / 8.3: |
Normal mode expansion. Fourier series / 8.4: |
Continuous harmonic force distribution / 8.5: |
Normal modes in two and three dimensions / 8.6: |
Density of normal modes / 8.7: |
Electromagnetic waves / 9: |
Review of units / 9.1: |
EM waves on a cable reconsidered / 9.2: |
Maxwell's equations / 9.3: |
Plane EM waves / 9.4: |
Generation of EM waves / 9.5: |
Polarization / 9.6: |
Dispersion of EM waves / 9.7: |
Acoustic waves in fluids / 10: |
Description of fluid motion / 10.1: |
Fluid equations / 10.2: |
Acoustic field equations / 10.3: |
Spherical waves / 10.4: |
The acoustic spectrum / 10.5: |
Measurements / 10.6: |
Wave interference and diffraction / 11: |
Interference of two plane waves / 11.1: |
Interference of waves from an array of sources / 11.2: |
Continuous source distribution / 11.3: |
Diffraction / 11.4: |
Diffraction limited resolution / 11.5: |
Coherence and incoherence / 11.6: |
Refraction and reflection / 12: |
Trace velocity and Snell's law / 12.1: |
Acoustic reflection and transmission coefficients / 12.2: |
EM reflection and transmission coefficients / 12.3: |
Total reflection / 12.4: |
Refraction in a moving medium / 12.5: |
Inhomogeneous medium / 12.6: |
The Doppler effect / 13: |
Mechanical waves / 13.1: |
Periodic structures. Dispersion / 13.2: |
Wave transmission on a mass-spring lattice / 14.1: |
Wave packet and group velocity / 14.2: |
Wave impedance and energy flow / 14.3: |
Wave attenuation / 14.4: |
Normal modes of a one-dimensional lattice / 14.5: |
General motion and impulse response of a periodic lattice / 14.6: |
Wave guides and cavities / 15: |
Propagating and decaying waves / 15.1: |
Acoustic waves in a rectangular wave guide / 15.2: |
EM waves in a rectangular wave guide / 15.3: |
Normal modes in a rectangular cavity / 15.4: |
Matter waves / 16: |
Review / 16.1: |
Free particle wave function / 16.2: |
The Uncertainty Principle / 16.3: |
Effect of potential. Barrier penetration / 16.4: |
Refraction of matter waves / 16.5: |
Stationary states. Schroedinger equation / 16.6: |
Special Topics / Part 3: |
Radiation and scattering / 17: |
Sound radiation from a pulsating sphere / 17.1: |
Multipole sources / 17.2: |
Nonuniform spherical source. Spherical harmonics / 17.3: |
Radiation from a continuous source distribution / 17.4: |
Huygens' principle and scattering / 17.5: |
Acoustic scattering / 17.6: |
Electromagnetic scattering / 17.7: |
Surface waves on a liquid / 18: |
Waves on shallow water / 18.1: |
Surface tension / 18.2: |
Waves on deep water. Effect of surface tension / 18.3: |
Effect of viscosity / 18.4: |
Thermal ripples and Brillouin scattering / 18.5: |
Liquid-liquid interface. Critical phenomenon / 18.6: |
Plasma oscillations and hydromagnetic waves / 19: |
The plasma state / 19.1: |
Longitudinal waves. (Plasma oscillations) / 19.2: |
Transverse waves. (Hydromagnetic or Alfven waves) / 19.3: |
Waves in solids / 20: |
Longitudinal waves in a rod / 20.1: |
Shear waves / 20.2: |
Wave reflection. Energy considerations / 20.3: |
Bending waves on a plate / 20.4: |
Displacement, deformation, and rotation / 20.5: |
Stress-strain relation / 20.6: |
Relations between elastic constants / 20.7: |
Longitudinal and transverse waves / 20.8: |
Wave conversion / 20.9: |
The Rayleigh wave / 20.10: |
Seismology / 20.11: |
Feedback oscillations / 21: |
The frequency equation / 21.1: |
Valve instability / 21.2: |
Instability of a vortex sheet / 21.3: |
Whistles and wind instruments / 21.4: |
Lasers / 21.5: |
Heat maintained oscillations. The Rijke tube / 21.6: |
Index |
Preface |
Oscillations / Part 1: |
Review of elementary concepts and examples / 1: |