Mechanical wave
A disturbance that travels through a medium, transferring energy without permanently transferring matter.
Wave Properties
Wavelength (λ)
The distance between two consecutive identical points on a wave, such as crest to crest.
Wave Properties
Frequency (f)
The number of complete wave cycles passing a point per unit time, measured in hertz.
Wave Properties
Period (T)
The time for one complete wave cycle; T = 1/f.
Wave Properties
Amplitude
The maximum displacement of a wave from equilibrium; related to the wave's energy.
Wave Properties
Wave speed equation
v = fλ — relates wave speed, frequency, and wavelength.
Wave Properties
Transverse wave
A wave in which particle motion is perpendicular to the direction of wave travel.
Wave Types
Longitudinal wave
A wave in which particle motion is parallel to the direction of wave travel; sound is the key example, traveling as alternating compressions and rarefactions.
Wave Types
Standing wave
A stationary interference pattern formed by two identical waves traveling in opposite directions, typically an incident wave and its reflection.
Standing Waves
Node
A point of zero displacement on a standing wave, caused by destructive interference at that location.
Standing Waves
Antinode
A point of maximum displacement on a standing wave, caused by constructive interference at that location.
Standing Waves
Resonance
The dramatic amplification of a system's vibration amplitude when driven at one of its natural frequencies.
Standing Waves
Harmonics
The set of natural standing-wave frequencies a system supports, typically integer multiples of a fundamental frequency.
Standing Waves
Doppler effect
The apparent shift in frequency of a wave due to relative motion between the source and observer.
Sound & Doppler
Doppler shift — approaching source
Perceived frequency increases (higher pitch) as a source moves toward an observer, since wave crests compress closer together.
Sound & Doppler
Doppler shift — receding source
Perceived frequency decreases (lower pitch) as a source moves away from an observer, since wave crests stretch farther apart.
Sound & Doppler
Superposition
The principle that overlapping waves combine by adding their displacements algebraically.
Interference
Constructive interference
Overlapping waves in phase add together, producing a larger resultant wave.
Interference
Destructive interference
Overlapping waves out of phase cancel each other, producing a smaller (or zero) resultant wave.
Interference
Diffraction
The bending and spreading of waves as they pass through openings or around obstacles — a defining wave behavior.
Physical Optics
Young's double-slit experiment
A classic experiment in which light through two closely spaced slits produces an interference pattern, demonstrating light's wave nature.
Physical Optics
Bright fringe condition
Occurs where the path length difference from two coherent sources equals a whole number of wavelengths (mλ).
Physical Optics
Dark fringe condition
Occurs where the path length difference from two coherent sources equals a half-integer number of wavelengths ((m + ½)λ).
Physical Optics