Dynamic Wave Interference Calculator
Understanding Dynamic Wave Interference
Wave Interference Fundamentals
y(x,t) = A₁sin(ωt - kx + φ₁) + A₂sin(ωt - kx + φ₂)
where:
- A = Wave amplitude
- ω = Angular frequency (2πf)
- k = Wave number (2π/λ)
- φ = Phase angle
- x = Position
- t = Time
Types of Wave Interference
Constructive Interference
- Phase difference = 0°, 360°
- Maximum amplitude = A₁ + A₂
- Energy enhancement
- Standing wave antinodes
Destructive Interference
- Phase difference = 180°
- Minimum amplitude = |A₁ - A₂|
- Energy cancellation
- Standing wave nodes
Partial Interference
- Intermediate phase differences
- Beats phenomenon
- Wave packets
- Group velocity effects
Wave Properties
Wave Parameters
- Wavelength λ = v/f
- Period T = 1/f
- Wave number k = 2π/λ
- Phase velocity v = ω/k
Energy Transport
- Power ∝ A²
- Energy density
- Poynting vector
- Radiation pressure
Applications
Acoustics
- Sound wave interference
- Noise cancellation
- Room acoustics
- Musical instruments
Optics
- Light interference
- Interferometry
- Holography
- Fiber optics
Quantum Mechanics
- Matter waves
- Double-slit experiment
- Quantum interference
- Decoherence