Acoustics, Vibration, and Waves

  1. Wave Propagation and Behavior
    1. Reflection and Transmission
      1. Boundary Conditions
        1. Continuity Conditions
          1. Fixed End Reflection
            1. Free End Reflection
              1. Impedance Matching
              2. Reflection Coefficient
                1. Transmission Coefficient
                  1. Energy Conservation
                    1. Phase Changes upon Reflection
                      1. Phase Inversion
                        1. No Phase Change
                          1. Impedance Effects
                        2. Refraction
                          1. Snell's Law for Mechanical Waves
                            1. Change in Wave Speed at Boundaries
                              1. Change in Direction of Propagation
                                1. Critical Angle
                                  1. Total Internal Reflection
                                  2. Diffraction
                                    1. Bending of Waves around Obstacles
                                      1. Huygens' Principle
                                        1. Fresnel Diffraction
                                          1. Fraunhofer Diffraction
                                            1. Diffraction Gratings
                                              1. Single-Slit Diffraction
                                                1. Multiple-Slit Diffraction
                                                  1. Grating Equation
                                                  2. Aperture Effects
                                                    1. Shadow Zones
                                                    2. Scattering
                                                      1. Rayleigh Scattering
                                                        1. Mie Scattering
                                                          1. Scattering Cross-Section
                                                            1. Multiple Scattering
                                                            2. The Doppler Effect
                                                              1. Qualitative Description
                                                                1. Moving Source
                                                                  1. Source Approaching Observer
                                                                    1. Source Receding from Observer
                                                                    2. Moving Observer
                                                                      1. Observer Approaching Source
                                                                        1. Observer Receding from Source
                                                                        2. Moving Medium
                                                                          1. Relativistic Effects
                                                                            1. Mathematical Formulation
                                                                              1. Shock Waves and Sonic Booms
                                                                                1. Mach Number
                                                                                  1. Formation of Shock Fronts
                                                                                    1. Mach Cone
                                                                                  2. Attenuation and Absorption
                                                                                    1. Geometric Spreading
                                                                                      1. Material Absorption
                                                                                        1. Scattering Losses
                                                                                          1. Attenuation Coefficient