Advanced Physics → Fields, Waves & Optics → Waves & Oscillations
Oscillations describe localized motion; waves describe how oscillations propagate through space.
1. What Is Oscillatory Motion?
An oscillation is a repeated motion about an equilibrium position caused by a restoring influence. The defining feature is not periodicity alone, but the tendency of the system to return to equilibrium.
2. Restoring Forces and Stability
Oscillations arise only when a restoring force acts toward equilibrium. This requirement connects oscillations to stability and energy minima.
3. Energy in Oscillatory Systems
During oscillation, energy continuously transforms between kinetic and potential forms, while total mechanical energy remains constant in ideal systems.
4. From Oscillations to Waves
When oscillations are coupled across space, disturbances propagate. This propagation of oscillation is called a wave.
5. Describing Waves
Waves are described using wavelength, frequency, amplitude, and phase. These quantities encode both spatial and temporal behavior.
6. Superposition Principle
When waves overlap, their effects add. This principle explains interference, beats, and complex wave patterns.
7. Standing Waves and Resonance
Standing waves arise when waves reflect and interfere with themselves. Resonance occurs when driving frequency matches natural frequencies.
