OPO Idler Wavelength

Calculate OPO idler wavelength from pump and signal energy conservation.

Description

OPO energy conservation relates reciprocal pump, signal and idler wavelengths.

OPO energy conservation relates reciprocal pump, signal and idler wavelengths. A positive idler inverse wavelength requires signal wavelength longer than pump.1

Calculate OPO idler wavelength from pump and signal energy conservation.

When to use OPO Idler Wavelength

Use this tool to calculate OPO idler wavelength from pump and signal energy conservation.

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 OPO Idler Wavelength 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 pumpWavelengthMeters, signalWavelengthMeters using the field table and calculation rules, then run the tool.
  3. Read idlerWavelengthMeters, physicalSolution. 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
pumpWavelengthMetersPump wavelength (m)number; minimum: 0Required
signalWavelengthMetersSignal wavelength (m)number; minimum: 0Required

Enter positive wavelengths in meters. Return reciprocal-derived idler and true when the difference is positive; otherwise return zero with false.

1/λidler=1/λpump−1/λsignal

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

Output fieldMeaningValue type
idlerWavelengthMetersIdler wavelength (m)number; minimum: 0
physicalSolutionPhysical positive-frequency solutionboolean
json
{
  "input": {
    "pumpWavelengthMeters": 0.000001,
    "signalWavelengthMeters": 0.0000015
  },
  "output": {
    "idlerWavelengthMeters": 0.0000029999999999999997,
    "physicalSolution": true
  }
}

Limitations and assumptions

Zero is a no-solution placeholder. Phase matching, gain, losses and cavity tuning are excluded.

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 SHG Phase Match: Calculate SHG-style phase mismatch, coherence length, and normalized conversion efficiency. For a complementary task, use Frequency-Mixing Wavelength: Calculate sum- or difference-frequency output from two input wavelengths.

References

  1. OPO Idler Wavelength — tool.io

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