electromagnetics.abdphysics.org

Mechanical and Electromagnetic Vibrations and Waves

  • Free Oscillations
    • Oscillations and waves, period and frequency
    • Simple harmonic vibrations: differential equation and linearity
    • Complex representation and phasor representation
    • Point mass subject to a force–Kx
    • Angular oscillations
    • Damped oscillations
    • Dissipation of the energy of a damped oscillator
    • Oscillating LCR circuits
    • Small oscillations of a system with one degree of freedom
    • Nonlinear oscillators
    • Systems with two degrees of freedom
    • Generalization to systems with n degrees of freedom
    • Normal variables for systems with n degrees of freedom*
    • Summary
    • Problem solving suggestions
    • Conceptual questions
    • Problems.
  • Superposition of Harmonic Oscillations, Fourier Analysis
  • Forced Oscillations
    • Transient regime and steady regime
    • Case of a simple harmonic excitation force Resonance
    • Impedance and energy of a forced oscillator in the steady regime
    • Complex impedance
    • Sustained electromagnetic oscillations
    • Excitation from a state of equilibrium*
    • Response to an arbitrary force, nonlinear systems
    • Excitation of a system of coupled oscillators
    • Generalization of the concepts of external force and impedance
    • Some applications
    • Summary
    • Problem solving suggestions
    • Conceptual questions
    • Problems
  • Propagation in Infinite Media
    • Propagation of one-dimensional waves
    • Propagation of two- and three-dimensional waves
    • Propagation of a vector wave
    • Polarization of a transverse vector wave
    • Monochromatic wave, wave vector and wavelength
    • Dispersion
    • Group velocity
    • Fourier analysis for waves*
    • Modulation
    • Energy of waves
    • Other unattenuated wave equations, conserved quantities* .
  • Mechanical Waves
    • Transverse waves on a taut string
    • Strain and stress in elastic solids
    • Elastic waves in massive springs and rods
    • Propagation of sound in a pipe
    • Transverse waves on elastic membranes
    • Mechanical waves in three dimensions
    • Energy of mechanical waves
    • Progressive waves, impedance and intensity
    • Elements of physiological acoustics
    • Infrasounds and ultrasounds
    • Surface waves*
    • Summary
    • Problem solving suggestions
    • Conceptual questions
    • Problems.
  • Electromagnetic Waves
  • Reflection and Refraction of Waves
  • Interference and Diffraction
  • Standing Waves and Guided Waves
  • APPENDICES
    • Appendix A. Mathematical Review
    • Appendix B. Units in Physics
    • Appendix C. Some Physical Constants