| Preface | p. xi |
| Oscillations | |
| Review of elementary concepts and examples | p. 3 |
| Introduction | p. 3 |
| Harmonic motion defined | p. 4 |
| The mass--spring oscillator | p. 7 |
| Examples of harmonic motion | p. 11 |
| The two-body oscillator. Reduced mass | p. 19 |
| Two-dimensional oscillator | p. 24 |
| Nonlinear oscillations | p. 26 |
| Forced harmonic motion | p. 28 |
| Free damped motion | p. 31 |
| Problems | p. 32 |
| The complex amplitude | p. 37 |
| A review of complex numbers | p. 37 |
| Euler's formula | p. 40 |
| The complex amplitude of a harmonic function | p. 43 |
| Discussion | p. 47 |
| Examples | p. 48 |
| Problems | p. 50 |
| Forced oscillations and frequency response | p. 51 |
| Electro-mechanical analogies | p. 51 |
| Frequency response | p. 53 |
| Impedance and admittance | p. 64 |
| Power transfer | p. 67 |
| Sources of vibration | p. 70 |
| Examples | p. 71 |
| Fourier analysis | p. 72 |
| Arbitrary driving force | p. 81 |
| Examples | p. 82 |
| Problems | p. 87 |
| Free oscillations and impulse response | p. 92 |
| Free oscillations | p. 92 |
| Impulse response | p. 99 |
| Response to an arbitrary driving force | p. 101 |
| Transition to steady state | p. 103 |
| Discussion | p. 107 |
| Examples | p. 109 |
| Problems | p. 111 |
| Coupled oscillators | p. 113 |
| Forced harmonic motion | p. 113 |
| Free motion. Normal modes | p. 121 |
| Weakly coupled oscillators. Beats | p. 125 |
| Impulse response | p. 129 |
| Orthogonality. Configuration space | p. 134 |
| Unequal coupled oscillators | p. 138 |
| Examples | p. 147 |
| Problems | p. 147 |
| Waves | |
| Fundamentals of waves | p. 153 |
| What is a wave? | p. 153 |
| Description of waves (kinematics) | p. 154 |
| Dynamics. Field equations | p. 166 |
| Harmonic waves and complex amplitude equations | p. 173 |
| Examples of waves | p. 177 |
| Simple demonstrations | p. 180 |
| Wave power | p. 182 |
| Wave pulse | p. 185 |
| Waves in two and three dimensions | p. 187 |
| Examples | p. 190 |
| Problems | p. 192 |
| Wave reflection, transmission, and absorption | p. 197 |
| Wave reflection at a junction | p. 197 |
| Energy absorption at a termination | p. 203 |
| Wave reflection and elastic collisions | p. 208 |
| Examples | p. 209 |
| Problems | p. 210 |
| Resonances and normal modes | p. 213 |
| Forced harmonic waves | p. 213 |
| Forced harmonic motion of the real mass-spring oscillator | p. 217 |
| Free oscillations and normal modes | p. 219 |
| Normal mode expansion. Fourier series | p. 225 |
| Continuous harmonic force distribution | p. 235 |
| Normal modes in two and three dimensions | p. 238 |
| Density of normal modes | p. 240 |
| Examples | p. 241 |
| Problems | p. 242 |
| Electromagnetic waves | p. 246 |
| Review of units | p. 246 |
| EM waves on a cable reconsidered | p. 250 |
| Maxwell's equations | p. 253 |
| Plane EM waves | p. 255 |
| Generation of EM waves | p. 258 |
| Polarization | p. 266 |
| Dispersion of EM waves | p. 274 |
| Examples | p. 282 |
| Problems | p. 283 |
| Acoustic waves in fluids | p. 286 |
| Description of fluid motion | p. 286 |
| Fluid equations | p. 288 |
| Acoustic field equations | p. 291 |
| Spherical waves | p. 295 |
| The acoustic spectrum | p. 298 |
| Measurements | p. 299 |
| Problems | p. 304 |
| Wave interference and diffraction | p. 306 |
| Interference of two plane waves | p. 306 |
| Interference of waves from an array of sources | p. 311 |
| Continuous source distribution | p. 319 |
| Diffraction | p. 324 |
| Diffraction limited resolution | p. 332 |
| Coherence and incoherence | p. 336 |
| Examples | p. 337 |
| Problems | p. 341 |
| Refraction and reflection | p. 343 |
| Trace velocity and Snell's law | p. 343 |
| Acoustic reflection and transmission coefficients | p. 346 |
| EM reflection and transmission coefficients | p. 349 |
| Total reflection | p. 352 |
| Refraction in a moving medium | p. 354 |
| Inhomogeneous medium | p. 356 |
| Examples | p. 361 |
| Problems | p. 363 |
| The Doppler effect | p. 366 |
| Mechanical waves | p. 366 |
| Electromagnetic waves | p. 376 |
| Problems | p. 381 |
| Periodic structures. Dispersion | p. 383 |
| Wave transmission on a mass-spring lattice | p. 383 |
| Wave packet and group velocity | p. 388 |
| Wave impedance and energy flow | p. 395 |
| Wave attenuation | p. 397 |
| Normal modes of a one-dimensional lattice | p. 400 |
| General motion and impulse response of a periodic lattice | p. 404 |
| Problems | p. 406 |
| Wave guides and cavities | p. 409 |
| Propagating and decaying waves | p. 409 |
| Acoustic waves in a rectangular wave guide | p. 414 |
| EM waves in a rectangular wave guide | p. 421 |
| Normal modes in a rectangular cavity | p. 425 |
| Problems | p. 427 |
| Matter waves | p. 430 |
| Review | p. 430 |
| Free particle wave function | p. 433 |
| The Uncertainty Principle | p. 435 |
| Effect of potential. Barrier penetration | p. 437 |
| Refraction of matter waves | p. 440 |
| Stationary states. Schroedinger equation | p. 442 |
| Problems | p. 447 |
| Special Topics | |
| Radiation and scattering | p. 451 |
| Sound radiation from a pulsating sphere | p. 451 |
| Multipole sources | p. 455 |
| Nonuniform spherical source. Spherical harmonics | p. 459 |
| Radiation from a continuous source distribution | p. 464 |
| Huygens' principle and scattering | p. 467 |
| Acoustic scattering | p. 468 |
| Electromagnetic scattering | p. 472 |
| Problems | p. 475 |
| Surface waves on a liquid | p. 478 |
| Waves on shallow water | p. 478 |
| Surface tension | p. 484 |
| Waves on deep water. Effect of surface tension | p. 488 |
| Effect of viscosity | p. 492 |
| Thermal ripples and Brillouin scattering | p. 495 |
| Liquid-liquid interface. Critical phenomenon | p. 503 |
| Problems | p. 505 |
| Plasma oscillations and hydromagnetic waves | p. 507 |
| The plasma state | p. 507 |
| Longitudinal waves. (Plasma oscillations) | p. 511 |
| Transverse waves. (Hydromagnetic or Alfven waves) | p. 517 |
| Problems | p. 521 |
| Waves in solids | p. 523 |
| Longitudinal waves in a rod | p. 523 |
| Shear waves | p. 527 |
| Wave reflection. Energy considerations | p. 529 |
| Bending waves on a plate | p. 530 |
| Displacement, deformation, and rotation | p. 534 |
| Stress-strain relation | p. 540 |
| Relations between elastic constants | p. 543 |
| Longitudinal and transverse waves | p. 545 |
| Wave conversion | p. 549 |
| The Rayleigh wave | p. 551 |
| Seismology | p. 555 |
| Problems | p. 558 |
| Feedback oscillations | p. 560 |
| The frequency equation | p. 560 |
| Valve instability | p. 565 |
| Instability of a vortex sheet | p. 573 |
| Whistles and wind instruments | p. 578 |
| Lasers | p. 585 |
| Heat maintained oscillations. The Rijke tube | p. 586 |
| Examples | p. 588 |
| Problems | p. 589 |
| Index | p. 591 |
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