Description
Return amplitude spectral density from nonnegative power spectral density.
Spectral and radiation quantities depend on their denominator coordinates, reference levels and physical definitions. A density per wavelength changes by a Jacobian when expressed per frequency, and photon counts, radiant energy, exposure and absorbed dose remain different quantities.
Return amplitude spectral density from nonnegative power spectral density.
When to use this tool
Use Power Spectral Density Amplitude Root Factor when checking the stated spectral, photon, attenuation or radiometric conversion.
How to use the tool and how it works
- Enter powerDensity. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read amplitudeDensity. Use the output convention below.
Return amplitude spectral density from nonnegative power spectral density. amplitudeDensity = sqrt(powerDensity).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| powerDensity | Power Density | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| amplitudeDensity | Square root of power density; amplitude per square-root frequency unit. | Required. Finite number. |
{
"input": {
"powerDensity": 0.0004
},
"output": {
"amplitudeDensity": 0.02
}
}Limitations and assumptions
- The denominator changes from per-frequency to per-square-root-frequency units; bandwidth and spectral sidedness are not selected.
- 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. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a complete spectrum, measurement calibration and appropriate physical interaction model for integration, uncertainty or exposure interpretation.
References
Similar or alternative tools
- Spectral Angular Frequency Frequency Density
Convert density per angular frequency to density per hertz.
- Conversion: Spectral Bin Energy To Density
Return mean spectral density over a wavelength bin.