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Baffled Circular Piston Radiation Impedance & Directivity Calculator
x402
Baffled Circular Piston Radiation Impedance & Directivity Calculator is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-04).
Computes ideal baffled circular piston radiation loading, radiated power, and signed far-field angular amplitude using Bessel and Struve functions.
Price / call$0.003
Success—
StatusUnknown
How this service works
Compute ideal piston radiation loading,power and signed far-field angular amplitude.
Output
Returns the radiation impedance (resistance and reactance components representing acoustic loading), total radiated acoustic power, and the signed far-field angular amplitude values at each requested observation angle — enabling full characterization of a baffled piston's acoustic performance.
Example use cases
Loudspeaker driver acoustic modeling
“I'm designing a 3-inch woofer cone (radius 0.038 m) operating at 1000 Hz in air — sound speed 343 m/s, density 1.21 kg/m³, velocity amplitude 0.05 m/s. Can you compute the radiation impedance and far-field directivity at angles 0, 0.25, 0.5, 0.785, and 1.0 radians?”
Ultrasonic transducer beam pattern analysis
“For an ultrasonic transducer with a circular piston of radius 0.01 m operating at 40000 Hz in water (sound speed 1500 m/s, density 1000 kg/m³, velocity amplitude 0.001 m/s), calculate the far-field angular amplitude and radiated power at angles 0, 0.2, 0.4, 0.6, 0.8, and 1.0 radians.”
Sonar array element characterization
“Model a baffled circular piston sonar element with radius 0.025 m driven at 20000 Hz in seawater (sound speed 1520 m/s, density 1025 kg/m³, velocity amplitude 0.002 m/s) — I need the radiation loading and signed far-field directivity evaluated at 0, 0.3, 0.6, 0.9, 1.2, and 1.5 radians.”
Technical details
Endpoint
POSThttps://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B009/baffled-circular-piston-bessel-struve-radiation-impedance-directivity?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need analytically rigorous, Bessel/Struve-function-based computation of baffled circular piston acoustics — including radiation impedance (loading), radiated power, and signed far-field directivity — in a single call. Prefer this over numerical FEM solvers when the geometry is exactly a baffled circular piston and analytical precision at fast turnaround is required. Ideal for transducer design, beam pattern characterization, and acoustic impedance matching workflows.
Side effects
- Radius out of range (must be 0.000001–100 m) returns validation error
- Frequency outside 0.01–1,000,000 Hz returns schema error
- Angles array must contain 1–32 values each in [0, π/2] radians
- Sound speed below 1 or above 10,000 m/s rejected
- Zero velocity amplitude may produce degenerate zero-power output
- Missing required fields (radius, frequency_hz, sound_speed, density, velocity_amplitude, angles_radians) causes 422
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| artifact | object |
Tags
x402
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