Introduction to Wave Phenomena

by Hirose, Akira; Lonngren, Karl E.

• ISBN13: 9781575242316
• ISBN10: 1575242311
• Edition: Reprint
• Format: Hardcover
• Copyright: 2003-01-01
• Publisher: Krieger Pub Co

Author Biography

Akira Hirose: University of Saskatchewan Karl E. Lonngren: University of Iowa

Table of Contents

Review of Oscillations	p. 1
Introduction	p. 1
Mass-Spring System	p. 1
Energy Tossing in Mechanical Oscillations	p. 7
Other Mechanical Oscillation Systems	p. 10
Electromagnetic Oscillation	p. 15
Damped Oscillation	p. 17
Forced Oscillation	p. 20
Wave Motion	p. 26
Introduction	p. 26
Creation of Waves on a String	p. 26
Sinusoidal (Harmonic) Waves	p. 30
Wave Differential Equation, Partial Differentiation	p. 33
Nonsinusoidal Waves	p. 38
Phase and Group Velocities, Dispersion	p. 40
Superposition of Two Waves, Beats	p. 43
Some Mathematics	p. 50
Mechanical Waves	p. 57
Introduction	p. 57
Mass-Spring Transmission Line	p. 58
Derivation of Wave Equation	p. 59
Energy Carried by Waves	p. 63
Momentum Carried by Waves	p. 66
Transverse Waves on a String	p. 69
Sound Waves in Solids, Liquids, and Gases	p. 77
Introduction	p. 77
Sound Velocity Along a Solid Rod	p. 77
Rigorous Derivation of Sound Velocity Along a Solid Rod	p. 80
Sound Waves in Liquids	p. 83
Sound Waves in Gases	p. 86
Intensity of Sound Waves in Gases	p. 90
Wave Reflection and Standing Waves	p. 95
Introduction	p. 95
Reflection at a Fixed Boundary, Standing Waves	p. 95
Reflection at a Free Boundary	p. 100
Theory of Wave Reflection, Mechanical Impedance	p. 103
Spherical and Cylindrical Waves; Waves in Nonuniform Media, and Multidimensional Waves	p. 112
Introduction	p. 112
Conservation of Energy Flow, Spherical Waves	p. 112
Cylindrical Waves	p. 115
Nonuniform Wave Medium	p. 116
Multidimensional Waves	p. 119
Doppler Effect of Sound Waves and Shock Waves	p. 124
Introduction	p. 124
Stationary Sound Source and Moving Observer	p. 124
Moving Sound Source and Stationary Observer	p. 128
General Expression for Doppler-Shifted Frequency	p. 129
Shock Waves	p. 131
Electromagnetic Waves	p. 135
Introduction	p. 135
Wave Equation for an LC Transmission Line	p. 136
Coaxial Cable	p. 143
Poynting Vector	p. 152
Plane Electromagnetic Waves in Free Space	p. 156
Reflection of Electromagnetic Waves	p. 161
Electromagnetic Waves in Matter	p. 167
Radiation of Electromagnetic Waves	p. 187
Introduction	p. 187
Fields Associated with Stationary Charge and Charge Moving with a Constant Velocity	p. 187
Radiation Fields Due to an Accelerated (or Decelerated) Charge	p. 191
Radiation from an Oscillating Dipole and Dipole Antenna	p. 196
Interference and Diffraction	p. 203
Introduction	p. 203
Interference Between Two Harmonic Waves	p. 203
Young's Experiment	p. 206
Multislit Structure	p. 211
Optical Interference in Thin Films	p. 218
Diffraction I (Fraunhofer diffraction)	p. 223
Resolution of Optical Devices	p. 226
Diffraction II (Fresnel diffraction)	p. 228
Geometrical Optics	p. 240
Introduction	p. 240
Reflection and Refraction	p. 240
Total Reflection	p. 248
Reflection at Spherical Surfaces (Mirrors)	p. 250
Spherical Aberration of Mirrors	p. 255
Refraction at Spherical Surfaces	p. 256
Lenses	p. 258
Chromatic Aberration	p. 261
Optical Instruments	p. 263
Physical Meaning of Focusing	p. 265
Fourier Analyses and Laplace Transformation	p. 274
Introduction	p. 274
Sum of Harmonic Functions	p. 274
Fourier Series	p. 277
Fourier Spectrum	p. 280
Operator Method	p. 284
Laplace Transform	p. 288
Particle Nature of Light	p. 295
Introduction	p. 295
Photoelectric Effect and Einstein's Photon Theory	p. 295
Hydrogen Atom	p. 298
De Broglie Wave	p. 301
Nonlinear Waves	p. 303
Introduction	p. 303
Nonlinear Wave Equations	p. 306
Characteristics	p. 314
Self-Similarity	p. 318
Solitons and Shocks	p. 327
Introduction	p. 327
FPU Recurrence	p. 329
Properties of Solitons	p. 330
Shocks	p. 337
Appendix A	p. 340
Appendix B	p. 342
Bibliography	p. 347
Index	p. 349
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