+612 9045 4394
 
CHECKOUT
Fundamentals of Waves and Oscillations - K. U. Ingard

Fundamentals of Waves and Oscillations

Paperback

Published: 26th September 1988
RRP $132.95
$118.25
11%
OFF
or 4 easy payments of $29.56 with Learn more
This title is not in stock at the Booktopia Warehouse and needs to be ordered from our supplier.
Click here to read more about delivery expectations.

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 oscillations, and feedback oscillations. Ideas and equations are displayed for easy reference, and sets of exercises follow each chapter.

Prefacep. xi
Oscillations
Review of elementary concepts and examplesp. 3
Introductionp. 3
Harmonic motion definedp. 4
The mass--spring oscillatorp. 7
Examples of harmonic motionp. 11
The two-body oscillator. Reduced massp. 19
Two-dimensional oscillatorp. 24
Nonlinear oscillationsp. 26
Forced harmonic motionp. 28
Free damped motionp. 31
Problemsp. 32
The complex amplitudep. 37
A review of complex numbersp. 37
Euler's formulap. 40
The complex amplitude of a harmonic functionp. 43
Discussionp. 47
Examplesp. 48
Problemsp. 50
Forced oscillations and frequency responsep. 51
Electro-mechanical analogiesp. 51
Frequency responsep. 53
Impedance and admittancep. 64
Power transferp. 67
Sources of vibrationp. 70
Examplesp. 71
Fourier analysisp. 72
Arbitrary driving forcep. 81
Examplesp. 82
Problemsp. 87
Free oscillations and impulse responsep. 92
Free oscillationsp. 92
Impulse responsep. 99
Response to an arbitrary driving forcep. 101
Transition to steady statep. 103
Discussionp. 107
Examplesp. 109
Problemsp. 111
Coupled oscillatorsp. 113
Forced harmonic motionp. 113
Free motion. Normal modesp. 121
Weakly coupled oscillators. Beatsp. 125
Impulse responsep. 129
Orthogonality. Configuration spacep. 134
Unequal coupled oscillatorsp. 138
Examplesp. 147
Problemsp. 147
Waves
Fundamentals of wavesp. 153
What is a wave?p. 153
Description of waves (kinematics)p. 154
Dynamics. Field equationsp. 166
Harmonic waves and complex amplitude equationsp. 173
Examples of wavesp. 177
Simple demonstrationsp. 180
Wave powerp. 182
Wave pulsep. 185
Waves in two and three dimensionsp. 187
Examplesp. 190
Problemsp. 192
Wave reflection, transmission, and absorptionp. 197
Wave reflection at a junctionp. 197
Energy absorption at a terminationp. 203
Wave reflection and elastic collisionsp. 208
Examplesp. 209
Problemsp. 210
Resonances and normal modesp. 213
Forced harmonic wavesp. 213
Forced harmonic motion of the real mass-spring oscillatorp. 217
Free oscillations and normal modesp. 219
Normal mode expansion. Fourier seriesp. 225
Continuous harmonic force distributionp. 235
Normal modes in two and three dimensionsp. 238
Density of normal modesp. 240
Examplesp. 241
Problemsp. 242
Electromagnetic wavesp. 246
Review of unitsp. 246
EM waves on a cable reconsideredp. 250
Maxwell's equationsp. 253
Plane EM wavesp. 255
Generation of EM wavesp. 258
Polarizationp. 266
Dispersion of EM wavesp. 274
Examplesp. 282
Problemsp. 283
Acoustic waves in fluidsp. 286
Description of fluid motionp. 286
Fluid equationsp. 288
Acoustic field equationsp. 291
Spherical wavesp. 295
The acoustic spectrump. 298
Measurementsp. 299
Problemsp. 304
Wave interference and diffractionp. 306
Interference of two plane wavesp. 306
Interference of waves from an array of sourcesp. 311
Continuous source distributionp. 319
Diffractionp. 324
Diffraction limited resolutionp. 332
Coherence and incoherencep. 336
Examplesp. 337
Problemsp. 341
Refraction and reflectionp. 343
Trace velocity and Snell's lawp. 343
Acoustic reflection and transmission coefficientsp. 346
EM reflection and transmission coefficientsp. 349
Total reflectionp. 352
Refraction in a moving mediump. 354
Inhomogeneous mediump. 356
Examplesp. 361
Problemsp. 363
The Doppler effectp. 366
Mechanical wavesp. 366
Electromagnetic wavesp. 376
Problemsp. 381
Periodic structures. Dispersionp. 383
Wave transmission on a mass-spring latticep. 383
Wave packet and group velocityp. 388
Wave impedance and energy flowp. 395
Wave attenuationp. 397
Normal modes of a one-dimensional latticep. 400
General motion and impulse response of a periodic latticep. 404
Problemsp. 406
Wave guides and cavitiesp. 409
Propagating and decaying wavesp. 409
Acoustic waves in a rectangular wave guidep. 414
EM waves in a rectangular wave guidep. 421
Normal modes in a rectangular cavityp. 425
Problemsp. 427
Matter wavesp. 430
Reviewp. 430
Free particle wave functionp. 433
The Uncertainty Principlep. 435
Effect of potential. Barrier penetrationp. 437
Refraction of matter wavesp. 440
Stationary states. Schroedinger equationp. 442
Problemsp. 447
Special Topics
Radiation and scatteringp. 451
Sound radiation from a pulsating spherep. 451
Multipole sourcesp. 455
Nonuniform spherical source. Spherical harmonicsp. 459
Radiation from a continuous source distributionp. 464
Huygens' principle and scatteringp. 467
Acoustic scatteringp. 468
Electromagnetic scatteringp. 472
Problemsp. 475
Surface waves on a liquidp. 478
Waves on shallow waterp. 478
Surface tensionp. 484
Waves on deep water. Effect of surface tensionp. 488
Effect of viscosityp. 492
Thermal ripples and Brillouin scatteringp. 495
Liquid-liquid interface. Critical phenomenonp. 503
Problemsp. 505
Plasma oscillations and hydromagnetic wavesp. 507
The plasma statep. 507
Longitudinal waves. (Plasma oscillations)p. 511
Transverse waves. (Hydromagnetic or Alfven waves)p. 517
Problemsp. 521
Waves in solidsp. 523
Longitudinal waves in a rodp. 523
Shear wavesp. 527
Wave reflection. Energy considerationsp. 529
Bending waves on a platep. 530
Displacement, deformation, and rotationp. 534
Stress-strain relationp. 540
Relations between elastic constantsp. 543
Longitudinal and transverse wavesp. 545
Wave conversionp. 549
The Rayleigh wavep. 551
Seismologyp. 555
Problemsp. 558
Feedback oscillationsp. 560
The frequency equationp. 560
Valve instabilityp. 565
Instability of a vortex sheetp. 573
Whistles and wind instrumentsp. 578
Lasersp. 585
Heat maintained oscillations. The Rijke tubep. 586
Examplesp. 588
Problemsp. 589
Indexp. 591
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521339575
ISBN-10: 052133957X
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 612
Published: 26th September 1988
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 25.4 x 18.42  x 3.18
Weight (kg): 0.93