Thermal-Lens Coefficient

Calculate measured thermal-lens dioptric-power change per watt of pump-power change.

Description

Thermal-lens sensitivity relates a measured optical-power change in diopters to pump-power change.

Thermal-lens sensitivity relates a measured optical-power change in diopters to pump-power change. The quotient preserves signs.1

Calculate measured thermal-lens dioptric-power change per watt of pump-power change.

When to use Thermal-Lens Coefficient

Use this tool to calculate measured thermal-lens dioptric-power change per watt of pump-power change.

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 Thermal-Lens Coefficient 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 dioptricPowerChange, pumpPowerChangeWatts using the field table and calculation rules, then run the tool.
  3. Read dioptricPowerPerWatt. 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
dioptricPowerChangeThermal-lens dioptric change (D)numberRequired
pumpPowerChangeWattsPump-power change (W)numberRequired

Enter finite dioptric change and finite nonzero pump-power change in watts. Return dioptric power per watt.

coefficient=dioptricPowerChange/pumpPowerChange

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

Output fieldMeaningValue type
dioptricPowerPerWattThermal-lens coefficient (D/W)number
json
{
  "input": {
    "dioptricPowerChange": 2,
    "pumpPowerChangeWatts": 10
  },
  "output": {
    "dioptricPowerPerWatt": 0.2
  }
}

Limitations and assumptions

No temperature field, lens fit or wavelength dependence is estimated.

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 Thermal-Blooming Threshold: Compare absorbed clear-air power density with a caller-supplied thermal-blooming limit. For a complementary task, use Resonator Stability: Calculate two-mirror resonator g parameters and test the strict stability interval.

References

  1. Thermal-Lens Coefficient — tool.io

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