Description
Report the unwrapped phase offset induced by shifting the supplied time origin; no frequency is inferred.
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.
Report the unwrapped phase offset induced by shifting the supplied time origin; no frequency is inferred.
When to use this tool
Use Oscillation Phase Origin Gap 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 angularFrequency, firstOrigin, secondOrigin. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read phaseGapRadians. Use the output convention below.
Return phaseGapRadians=angularFrequency*(secondOrigin-firstOrigin).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| angularFrequency | Angular frequency in radians per chosen time unit. | Required. Finite number. |
| firstOrigin | First Origin | Required. Finite number. |
| secondOrigin | Second Origin | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| phaseGapRadians | Phase Gap Radians | Required. Finite number. |
{
"input": {
"angularFrequency": 2,
"firstOrigin": 3,
"secondOrigin": 5
},
"output": {
"phaseGapRadians": 4
}
}Limitations and assumptions
- Angular frequency uses radians per common origin-time unit. The difference is signed and unwrapped; selecting a complete wave sign convention or estimating phase from signals remains separate.
- 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
- Wave Phase Time Origin Sign
Phase offset after substituting old time = new time + supplied origin shift.
- Wave Boundary Phase Inversion Flag
Classify the phase sign of a real amplitude reflection coefficient, retaining an explicit zero-reflection flag.