Ground Reflection Two Ray Calculator
Restrictedcoherenttwo-rayrealreflection sphericalspreadingpathinterference,not fullfrequencydependentcomplexgroundimpedance/nearfield. Actual matched calibration,units,edition,geometry/measurement and model applicability independently established;not hearing/structural safety,compliance or universal perceptual prediction.
Description
A coherent two-ray model combines direct and reflected pressure paths, allowing reinforcement or cancellation.
A coherent two-ray model combines direct and reflected pressure paths, allowing reinforcement or cancellation.1
This tool assumes spherical spreading and a real reflection coefficient rather than complex frequency-dependent ground impedance.
When to use Ground Reflection Two Ray Calculator
Use this tool to apply the stated ground reflection two ray calculator operation with an explicit input and unit basis.
How to use Ground Reflection Two Ray Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualDirectPathMeters, actualReflectedPathMeters, actualFrequencyHz, actualMediumSoundSpeed, callerIndependentRealReflectionCoefficient and run the tool.
- Read result.relativePressureAmplitude, result.signedRelativeLevelDb using the output meanings below.
- If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualDirectPathMeters | Direct Path Meters. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualReflectedPathMeters | Reflected Path Meters. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualFrequencyHz | Frequency Hz. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
| actualMediumSoundSpeed | Medium Sound Speed. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| callerIndependentRealReflectionCoefficient | Real Reflection Coefficient. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; further conditions in the algorithm |
Require positive direct and reflected distances and sound speed, nonnegative frequency and a real coefficient R in [−1,1]. Set q=R direct/reflected and phase=2πf(reflected−direct)/c; calculate amplitude relative to the direct path and convert it to dB. Reject exact zero amplitude because its logarithmic level is −infinity.
a = sqrt(max(0,1+q²+2q cos(phase))); relativeLevelDb = 20log10(a) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.relativePressureAmplitude | Combined two-ray pressure magnitude relative to the direct path alone. | number |
| result.signedRelativeLevelDb | Relative two-ray level in dB; negative results represent attenuation. | number |
{
"input": {
"actualDirectPathMeters": 1,
"actualReflectedPathMeters": 1,
"actualFrequencyHz": 1,
"actualMediumSoundSpeed": 1,
"callerIndependentRealReflectionCoefficient": 1
},
"output": {
"result": {
"relativePressureAmplitude": 2,
"signedRelativeLevelDb": 6.020599913279624
}
}
}Limitations and assumptions
The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.
Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.
Alternative or Complementary methods
For a related operation, use Haas Precedence Window Lookup. The precedence or Haas effect concerns perception when a direct sound is followed by a delayed copy.
For a related operation, use Apparent Sound Reduction Index Calculator. Apparent sound reduction compares source and receiving room levels with a receiving-room absorption correction.
References
-
Ground Reflection Two Ray Calculator — tool.io
Similar or alternative tools
- Haas Precedence Window Lookup
The precedence or Haas effect concerns perception when a direct sound is followed by a delayed copy.
- Apparent Sound Reduction Index Calculator
Apparent sound reduction compares source and receiving room levels with a receiving-room absorption correction.