APD Mode Comparison

Compare caller-supplied Geiger- and linear-mode APD detection efficiencies.

Description

APD mode comparison summarizes supplied detection efficiencies.

APD mode comparison summarizes supplied detection efficiencies. Percentage-point difference and relative ratio answer different comparison questions.1

Compare caller-supplied Geiger- and linear-mode APD detection efficiencies.

When to use APD Mode Comparison

Use this tool to compare caller-supplied Geiger- and linear-mode APD detection efficiencies.

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 APD Mode Comparison 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 geigerDetectionEfficiencyPercent, linearDetectionEfficiencyPercent using the field table and calculation rules, then run the tool.
  3. Read efficiencyRatio, efficiencyDifferencePoints, higherEfficiencyMode. 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
geigerDetectionEfficiencyPercentGeiger-mode detection efficiency (%)number; minimum: 0; maximum: 100Required
linearDetectionEfficiencyPercentLinear-mode detection efficiency (%)number; minimum: 0; maximum: 100Required

Enter efficiencies 0–100%. Return ratio, signed difference and higher mode or tie. A zero linear efficiency returns ratio zero as a placeholder.

differencePoints=Geiger−linear; ratio=Geiger/linear

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

Output fieldMeaningValue type
efficiencyRatioGeiger-to-linear efficiency rationumber; minimum: 0
efficiencyDifferencePointsEfficiency difference (percentage points)number
higherEfficiencyModeHigher-efficiency modestring; one of "geiger", "linear", "tie"
json
{
  "input": {
    "geigerDetectionEfficiencyPercent": 60,
    "linearDetectionEfficiencyPercent": 20
  },
  "output": {
    "efficiencyRatio": 3,
    "efficiencyDifferencePoints": 40,
    "higherEfficiencyMode": "geiger"
  }
}

Limitations and assumptions

The placeholder is not a finite relative advantage. No dark counts, saturation, timing or detector choice is modeled.

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 BB84 Sift Error Analysis: Sift aligned BB84 records and calculate the sifted-key error rate. For a complementary task, use Beam-Tap Ratio: Calculate calibrated beam-monitor tap ratio and measured sample share.

References

  1. APD Mode Comparison — tool.io

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