Underwater Optical Mode Comparison
Compare Beer–Lambert transmission for two underwater optical bands.
Description
Beer–Lambert transmission compares two underwater optical bands using supplied attenuation coefficients.
Beer–Lambert transmission compares two underwater optical bands using supplied attenuation coefficients. Path length scales each exponential loss.1
Compare Beer–Lambert transmission for two underwater optical bands.
When to use Underwater Optical Mode Comparison
Use this tool to compare Beer–Lambert transmission for two underwater optical bands.
Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
How to use Underwater Optical Mode Comparison and understand its results
- Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
- Enter greenAttenuationPerMeter, blueAttenuationPerMeter, waterPathMeters using the field table and calculation rules, then run the tool.
- Read greenTransmissionFraction, blueTransmissionFraction, higherTransmissionBand. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| greenAttenuationPerMeter | Green attenuation coefficient (1/m) | number; minimum: 0 | Required |
| blueAttenuationPerMeter | Blue attenuation coefficient (1/m) | number; minimum: 0 | Required |
| waterPathMeters | Water path (m) | number; minimum: 0 | Required |
Enter nonnegative green/blue attenuation per meter and path meters. Return both transmission fractions and higher-transmission band, with exact equality reported as tie.
T_band=exp(−attenuation_band×path) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| greenTransmissionFraction | Green transmission | number; minimum: 0; maximum: 1 |
| blueTransmissionFraction | Blue transmission | number; minimum: 0; maximum: 1 |
| higherTransmissionBand | Higher-transmission band | string; one of "green", "blue", "tie" |
{
"input": {
"greenAttenuationPerMeter": 0.1,
"blueAttenuationPerMeter": 0.3,
"waterPathMeters": 10
},
"output": {
"greenTransmissionFraction": 0.36787944117144233,
"blueTransmissionFraction": 0.049787068367863944,
"higherTransmissionBand": "green"
}
}Limitations and assumptions
No water composition, scattering geometry, source spectrum or detector response is estimated.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Free-Space Link Margin: Calculate a free-space optical link budget from caller-supplied gains, losses, and sensitivity. For a complementary task, use Lidar Photon Return: Estimate monostatic lidar received photons from pulse energy and geometric spreading.
References
-
Underwater Optical Mode Comparison — tool.io
Similar or alternative tools
- Free-Space Link Margin
Calculate a free-space optical link budget from caller-supplied gains, losses, and sensitivity.
- Lidar Photon Return
Estimate monostatic lidar received photons from pulse energy and geometric spreading.