Semiconductor Edge Emitting Laser Cavity Length Calculator

Ideal Fabry–Perotedge-emitter length c/(2ngΔν) from independently identified adjacent longitudinal-mode frequencies and actual group index. Not infer physical cavity length from wavelength interval without conversion or use phase index.

Description

Longitudinal mode spacing can support an ideal Fabry–Perot cavity-length estimate.

Longitudinal mode spacing can support an ideal Fabry–Perot cavity-length estimate.1, 2

The model uses group index and frequency spacing, with the correct mode family independently identified.

When to use Semiconductor Edge Emitting Laser Cavity Length Calculator

Use this tool to obtain conditionalFabryPerotCavityLengthMeters 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 Edge Emitting Laser Cavity Length Calculator and understand its results

  1. Establish the device or material, operating point, units and independently applicable measurement or model calibration.
  2. Enter actualLongitudinalModeFrequencySpacingHz, independentlyEstablishedGroupIndex, using the field meanings and rules below, then run the tool.
  3. Read result.conditionalFabryPerotCavityLengthMeters. 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
actualLongitudinalModeFrequencySpacingHzActual longitudinal mode frequency spacing hznumberRequired
independentlyEstablishedGroupIndexIndependently established group indexnumberRequired

Require positive longitudinal frequency spacing in hertz and group index. Divide vacuum light speed 299792458 m/s by twice their product. The caller supplies the applicable Fabry–Perot mode-spacing convention; no mode-family identification or dispersion fit is performed.

cavityLengthMeters=299792458/(2×groupIndex×modeSpacingHz)

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

Output fieldMeaningValue type
resultQualified observed calculation or explicit referenceobject
result.conditionalFabryPerotCavityLengthMetersVacuum light speed divided by twice group index times longitudinal mode-frequency spacing.number
json
{
  "input": {
    "actualLongitudinalModeFrequencySpacingHz": 100000000000,
    "independentlyEstablishedGroupIndex": 3
  },
  "output": {
    "result": {
      "conditionalFabryPerotCavityLengthMeters": 0.0004996540966666666
    }
  }
}

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 Quantum Well Laser Threshold Current Calculator: Quantum-well laser threshold depends on structure, well width and operating conditions. For a complementary comparison, use Semiconductor Laser Threshold Vs Cavity Length Calculator: Laser threshold current varies with cavity geometry and other device conditions.

References

  1. Semiconductor Edge Emitting Laser Cavity Length Calculator — tool.io

  2. SI defining constants: speed of light — National Institute of Standards and Technology

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