Brightness Conservation

Measure brightness retention through a tapered double-clad section against a caller limit.

Description

Brightness retention compares an output measurement with an input baseline.

Brightness retention compares an output measurement with an input baseline. Its loss percentage is the complement of retention.1

Measure brightness retention through a tapered double-clad section against a caller limit.

When to use Brightness Conservation

Use this tool to measure brightness retention through a tapered double-clad section against a caller limit.

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 Brightness Conservation and understand its results

  1. 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.
  2. Enter inputBrightness, outputBrightness, maximumLossPercent using the field table and calculation rules, then run the tool.
  3. Read brightnessRetentionPercent, brightnessLossPercent, withinLossLimit. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. 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 fieldMeaningValue type; see rules belowRequirement
inputBrightnessInput brightnessnumber; minimum: 0Required
outputBrightnessOutput brightnessnumber; minimum: 0Required
maximumLossPercentMaximum brightness loss (%)number; minimum: 0Required

Enter positive input brightness, nonnegative output and maximum loss percent. Return retention, signed loss and inclusive loss≤maximum gate.

retention%=100output/input; loss%=100−retention

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
brightnessRetentionPercentBrightness retention (%)number; minimum: 0
brightnessLossPercentBrightness loss (%)number
withinLossLimitWithin loss limitboolean
json
{
  "input": {
    "inputBrightness": 100,
    "outputBrightness": 95,
    "maximumLossPercent": 10
  },
  "output": {
    "brightnessRetentionPercent": 95,
    "brightnessLossPercent": 5,
    "withinLossLimit": true
  }
}

Limitations and assumptions

Output above input can produce negative loss. No etendue, angular distribution or physical brightness-conservation proof is supplied.

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. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Beam-Expander Magnification: Calculate signed beam-expander magnification, output diameter, and lens configuration. For a complementary task, use Beam-Tap Ratio: Calculate calibrated beam-monitor tap ratio and measured sample share.

References

  1. Brightness Conservation — tool.io

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