Wave Mechanics Calculator
Analyze standing waves, interference, and diffraction patterns with interactive visualization and step-by-step solutions for wave behavior.
Formulas Used
- Standing Waves:
- y(x,t) = 2A sin(kx) cos(ωt)
- k = 2π / λ
- ω = 2πf
- Interference:
- φ = 2π Δx / λ
- I ∝ cos²(φ/2)
- Diffraction:
- sin(θ) = mλ / a
- I ∝ (sinβ / β)²
- β = πa sinθ / λ
Standing Waves Details
- - Formed by superposition of two opposite traveling waves.
- - Contains nodes (zero displacement) and antinodes (max displacement).
- - Energy does not propagate along the medium.
- - Depends on wavelength, frequency, and boundary conditions.
- Visualization Insights:
- - Graph dynamically updates based on input parameters.
- - Highlights key points like displacement or intensity.
- - Helps understand wave behavior visually.
- Notes:
- - All calculations assume ideal wave conditions.
- - Units must be consistent (SI recommended).
- - Small numerical tolerance used for classification.