acoustics
Installation
SKILL.md
What I do
- Analyze sound wave propagation in gases, liquids, and solids
- Calculate acoustic impedance and reflection coefficients
- Design acoustic resonators and waveguides
- Model noise pollution and sound insulation
- Simulate musical instrument acoustics
- Compute Doppler effects and shock waves
When to use me
When designing concert halls, acoustic metamaterials, sonar systems, noise barriers, or when analyzing sound behavior in different media.
Key Concepts
- Wave Equation: ∂²p/∂t² = c²∇²p describes sound pressure evolution
- Acoustic Impedance: Z = ρc characterizes medium resistance to sound
- Sound Intensity: I = p²/(2ρc) for plane waves
- Resonance: f_n = nv/(2L) for standing waves in tubes
- Doppler Effect: f' = f(v ± v_o)/(v ∓ v_s)