Semiconductor Photonic Crystal Defect Mode Volume Calculator

Declared sampled photonic mode volume integral energy-density/maxenergy-density with nonoverlapping represented cells. Full domain, dispersive energy definition and unsampled peak externally established; not infer localization, Qor emitter enhancement.

Description

A sampled optical mode volume normalizes integrated energy density by its sampled maximum.

A sampled optical mode volume normalizes integrated energy density by its sampled maximum.1

The sample cells and energy-density convention determine the estimate and its coverage.

When to use Semiconductor Photonic Crystal Defect Mode Volume Calculator

Use this tool to obtain conditionalSampledDefectModeVolumeCubicMeters from the supplied records using the stated calculation. Establish the device or material, operating point, units and independently applicable measurement or model calibration.

How to use Semiconductor Photonic Crystal Defect Mode Volume Calculator and understand its results

  1. Establish the device or material, operating point, units and independently applicable measurement or model calibration.
  2. Enter independentlySampledEnergyDensities, actualRepresentedCellVolumesCubicMeters, using the field meanings and rules below, then run the tool.
  3. Read result.conditionalSampledDefectModeVolumeCubicMeters. Use the units and sign conventions below, and review any unknown records separately.
  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
independentlySampledEnergyDensitiesIndependently sampled energy densitieslist of numberRequired
actualRepresentedCellVolumesCubicMetersActual represented cell volumes cubic meterslist of numberRequired

Supply nonempty aligned nonnegative sampled energy densities and strictly positive represented cell volumes in cubic metres. The sampled maximum energy density must be positive. Sum density×volume and divide by that maximum. A zero-density cell is accepted; unsampled peaks and cells are not inferred.

sampledModeVolumeM3=Σ(energyDensity_i×cellVolume_i)/max(sampledEnergyDensities)

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

Output fieldMeaningValue type
resultQualified observed calculation or explicit referenceobject
result.conditionalSampledDefectModeVolumeCubicMetersIntegrated sampled energy density divided by the sampled maximum density.number
json
{
  "input": {
    "independentlySampledEnergyDensities": [
      1,
      2
    ],
    "actualRepresentedCellVolumesCubicMeters": [
      1,
      1
    ]
  },
  "output": {
    "result": {
      "conditionalSampledDefectModeVolumeCubicMeters": 1.5
    }
  }
}

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. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries, subject to the narrower lengths and code rules above. 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 Slow Light Factor Calculator: A slow-light factor compares group delay with a compatible reference delay.

References

  1. Semiconductor Photonic Crystal Defect Mode Volume Calculator — tool.io

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