Description
For positive waveSpeed and sourceTowardObserver<waveSpeed return frequencyFactor=waveSpeed/(waveSpeed-sourceTowardObserver).
Wave phase can be expressed in cycles, degrees, or radians. A change of time origin or propagation distance changes phase according to an explicit sign convention. Wrapped phase identifies a location within one cycle; unwrapped phase retains the signed number of cycles.
For positive waveSpeed and sourceTowardObserver<waveSpeed return frequencyFactor=waveSpeed/(waveSpeed-sourceTowardObserver).
When to use this tool
Use Doppler Classical Source Only Factor when you need the stated phase conversion or one wave-model factor with an explicit time and direction convention.
How to use the tool and how it works
- Enter waveSpeed, sourceTowardObserver. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read frequencyFactor. Use the output convention below.
For positive waveSpeed and sourceTowardObserver<waveSpeed return frequencyFactor=waveSpeed/(waveSpeed-sourceTowardObserver).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| waveSpeed | Wave Speed | Required. Finite number; strictly above 0. |
| sourceTowardObserver | Source Toward Observer | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| frequencyFactor | Frequency Factor | Required. Finite number. |
{
"input": {
"waveSpeed": 340,
"sourceTowardObserver": 34
},
"output": {
"frequencyFactor": 1.1111111111111112
}
}Limitations and assumptions
- This is a classical source-only Doppler factor for a stationary observer and medium. Positive source speed means approach, negative means recession; observer motion, relativistic effects, and sonic boundary cases are excluded.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Write the full wave convention, coordinate direction, and time origin before comparing phases. A signal-estimation task also needs actual sampled observations and an appropriate fitting method.
References
Similar or alternative tools
- Momentum Energy Classical Consistency Residual
Compare supplied translational kinetic energy with the classical momentum relation p²/(2m).
- Oscillation Phase Origin Gap
Report the unwrapped phase offset induced by shifting the supplied time origin; no frequency is inferred.