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The Physics of Waves

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The Physics of Waves

This text will provide you with the concepts and mathematical tools necessary to understand and explain a broad range of vibrations and waves. You will learn that waves come from many interconnected (coupled) objects when they are vibrating together. We will discuss many of these phenomena, along with related topics, including mechanical vibrations and waves, sound waves, electromagnetic waves, optics, and gravitational waves.

Waves and AcousticsPhysics
Author
Howard Georgi
Publisher
Harvard University
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 96 sections
  1. 01: Harmonic Oscillation
  2. 1.01: The Harmonic Oscillator
  3. 1.02: 1.2 Small Oscillations and Linearity
  4. 1.03: Time Translation Invariance
  5. 1.04: Complex Numbers
  6. 1.05: Exponential Solutions
  7. 1.06: LC Circuits
  8. 1.07: 1.7 Units - Displacement and energy
  9. 1.08: A Simple Nonlinear Oscillator
  10. 1.09: Chapter Checklist
  11. 1.10: Problem
  12. 1.11: Problems
  13. 02: Forced Oscillation and Resonance
  14. 2.01: New Page
  15. 2.02: New Page
  16. 2.03: New Page
  17. 2.04: New Page
  18. 2.05: New Page
  19. 03: Normal Modes
  20. 3.01: New Page
  21. 3.02: New Page
  22. 3.03: New Page
  23. 3.04: New Page
  24. 3.05: New Page
  25. 3.06: New Page
  26. 04: Symmetries
  27. 4.01: New Page
  28. 4.02: New Page
  29. 05: Waves
  30. 5.01: New Page
  31. 5.02: New Page
  32. 5.03: New Page
  33. 5.04: New Page
  34. 5.05: New Page
  35. 5.6: Coupled LC Circuits
  36. 5.7: Chapter Checklist
  37. 06: Continuum Limit and Fourier Series
  38. 6.01: The Continuum Limit
  39. 6.02: New Page
  40. 6.03: New Page
  41. 07: Longitudinal Oscillations and Sound
  42. 7.01: Longitudinal Modes in a Massive Spring
  43. 7.02: A Mass on a Light Spring
  44. 7.03: The Speed of Sound
  45. 7.04: Chapter Checklist
  46. 08: Traveling Waves
  47. 8.01: Standing and Traveling Waves
  48. 8.02: Force Power and Impedance
  49. 8.03: Light
  50. 8.04: Transmission Lines
  51. 8.05: Damping
  52. 8.06: High and Low Frequency Cut-Offs
  53. 8.07: Chapter Checklist
  54. 09: The Boundary at Infinity
  55. 9.01: Reflection and Transmission
  56. 9.02: Index of Refraction
  57. 9.03: Transfer Matrices
  58. 9.04: Chapter Checklist
  59. 10: Signals and Fourier Analysis
  60. 10.01: Signals in Forced Oscillation
  61. 10.02: Dispersive Media and Group Velocity
  62. 10.03: Bandwidth Fidelity and Uncertainty
  63. 10.04: Scattering of Wave Packets
  64. 10.05: Is (c) the Speed of Light
  65. 10.06: Chapter Checklist
  66. 11: Two and Three Dimensions
  67. 11.01: The k Vector
  68. 11.02: Plane Boundaries
  69. 11.03: Chladni Plates
  70. 11.04: Waveguides
  71. 11.05: Water
  72. 11.06: Lenses and Geometrical Optics
  73. 11.07: Rainbows
  74. 11.08: Spherical Waves
  75. 11.09: Chapter Checklist
  76. 12: Polarization
  77. 12.01: The String in Three Dimensions
  78. 12.02: Electromagnetic Waves
  79. 12.03: Wave Plates and Polarizers
  80. 12.04: Boundary between Dielectrics
  81. 12.05: Radiation
  82. 12.06: Chapter Checklist
  83. 13: Interference and Diffraction
  84. 13.01: Interference
  85. 13.02: Beams
  86. 13.03: Small and Large z
  87. 13.04: Examples
  88. 13.05: Convolution
  89. 13.06: Periodic f(x y)
  90. 13.07: X-ray Diffraction
  91. 13.08: Chapter Checklist
  92. 13.09: Fringes and Zone Plates
  93. 13.10: 13-8- Holography
  94. 14: Shocks and Wakes
  95. 14.01: Boat Wakes
  96. 14.02: Chapter Checklist