Ultrasonic Air Propagation Study
Budget: $10 – $50 USD
I’m deep into a research project on how ultrasonic waves behave as they travel long distances through air, particularly in the context of parametric-array loudspeakers. My immediate need is a rigorous analysis—numerical or analytical—of the governing physics so I can pin down the key factors that limit or enhance range.
You would help me do three things:
1. Derive or validate a propagation model that accurately predicts attenuation, beam widening, and nonlinear effects above 40 kHz. Whether you prefer classic Westervelt equations, k-Wave FDTD, or COMSOL multiphysics is up to you as long as the assumptions and boundary conditions are clearly stated.
2. Compare the model against at least one real-world data set (published or your own lab measurements) so I can see how closely theory tracks practice.
3. Document the findings in a concise technical memo that I can build on for later optimisation work—equations, simulation settings, plots, and a paragraph on next-step recommendations.
Acceptance criteria
• Model equations and parameters are reproducible.
• Simulations run without errors on a standard desktop PC.
• The memo explains any discrepancies between model and data to within ±2 dB.
If you have direct experience with parametric speakers or long-range ultrasonic sensing, that will make integration much faster, but strong acoustics fundamentals matter most. Looking forward to seeing how you’d tackle the problem.
You would help me do three things:
1. Derive or validate a propagation model that accurately predicts attenuation, beam widening, and nonlinear effects above 40 kHz. Whether you prefer classic Westervelt equations, k-Wave FDTD, or COMSOL multiphysics is up to you as long as the assumptions and boundary conditions are clearly stated.
2. Compare the model against at least one real-world data set (published or your own lab measurements) so I can see how closely theory tracks practice.
3. Document the findings in a concise technical memo that I can build on for later optimisation work—equations, simulation settings, plots, and a paragraph on next-step recommendations.
Acceptance criteria
• Model equations and parameters are reproducible.
• Simulations run without errors on a standard desktop PC.
• The memo explains any discrepancies between model and data to within ±2 dB.
If you have direct experience with parametric speakers or long-range ultrasonic sensing, that will make integration much faster, but strong acoustics fundamentals matter most. Looking forward to seeing how you’d tackle the problem.