Wave Superposition

Add waves to see interference and beats

Wave 1
Wave 2
y(t) = A·sin(2πf·t + φ), y = y₁ + y₂
Pattern
Beats (different frequencies)
Phase difference Δφ
0°
Beat frequency
1 Hz
Beat period
1 s
Carrier frequency
5.5 Hz
Envelope maximum
2
Envelope minimum
0
Time plot of two different-frequency sine waves (faint) and their sum (bold), with a dashed envelope that swells and fades at the beat frequency.Time plot of two different-frequency sine waves (faint) and their sum (bold), with a dashed envelope that swells and fades at the beat frequency.t (s)y0.10.20.30.40.50.60.70.80.91-2-112
Wave 1Wave 2SumEnvelope