Semiconductor Photonic Crystal Slow Light Factor Calculator

Actual photonic-crystal slow-light group-delay enhancement relative to same path/reference convention, not phase index or an inferred bandwidth gain. Actual independently matched quantities/units required; not infer causal effect, clinical guidance or safe design.

Description

A slow-light factor compares group delay with a compatible reference delay.

A slow-light factor compares group delay with a compatible reference delay.1

It describes the measured delay convention without automatically determining group index or a bandwidth tradeoff.

When to use Semiconductor Photonic Crystal Slow Light Factor Calculator

Use this tool to calculate matched group-delay enhancement from the independently matched numerator and denominator. Establish the device or material, operating point, units and independently applicable measurement or model calibration.

How to use Semiconductor Photonic Crystal Slow Light Factor Calculator and understand its results

  1. Establish the device or material, operating point, units and independently applicable measurement or model calibration.
  2. Enter independentlyMeasuredGroupDelaySeconds, matchedReferenceGroupDelaySeconds, using the field meanings and rules below, then run the tool.
  3. Read result.observedRatio as matched group-delay enhancement in a dimensionless ratio. Check the observation scope and assumptions before using the result.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
independentlyMeasuredGroupDelaySecondsIndependently measured group delay secondsnumberRequired
matchedReferenceGroupDelaySecondsMatched reference group delay secondsnumberRequired

Require a finite nonnegative independently measured group delay seconds and a strictly positive matched reference group delay seconds. Divide the first by the second to obtain matched group-delay enhancement, expressed as a dimensionless ratio. Use compatible observations on the declared basis; no unit conversion or parameter selection is performed. The numerical ratio is not clamped to one.

matched_group-delay_enhancement=measuredGroupDelay/referenceGroupDelay

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
resultQualified observed calculation or explicit referenceobject
result.observedRatioMatched group-delay enhancement, expressed as a dimensionless ratio.number
json
{
  "input": {
    "independentlyMeasuredGroupDelaySeconds": 2,
    "matchedReferenceGroupDelaySeconds": 4
  },
  "output": {
    "result": {
      "observedRatio": 0.5
    }
  }
}

Limitations and assumptions

Device structure, material state, operating conditions and calibration determine applicability. The result does not infer missing physical parameters, verify a transport mechanism or validate a fabricated device model.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related step, use Semiconductor Plasmonic Resonator Quality Factor Vs Confinement Calculator: Plasmonic confinement and resonator quality factor describe different aspects of an optical mode. For a complementary comparison, use Semiconductor Photonic Crystal Defect Mode Volume Calculator: A sampled optical mode volume normalizes integrated energy density by its sampled maximum.

References

  1. Semiconductor Photonic Crystal Slow Light Factor Calculator — tool.io

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