Ablation Threshold Fit
Fit a Liu ablation-threshold line from pulse energy and squared crater radius.
Description
A Liu-style threshold fit regresses squared crater radius on log pulse energy.
A Liu-style threshold fit regresses squared crater radius on log pulse energy. Its positive slope supplies a Gaussian beam-radius estimate.1
Fit a Liu ablation-threshold line from pulse energy and squared crater radius.
When to use Ablation Threshold Fit
Use this tool to fit a Liu ablation-threshold line from pulse energy and squared crater radius.
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 Ablation Threshold Fit and understand its results
- 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.
- Enter pulseEnergies, squaredRadii using the field table and calculation rules, then run the tool.
- Read thresholdEnergy, beamRadius, slope. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- 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 field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| pulseEnergies | Pulse energies | list of number | Required |
| squaredRadii | Squared ablation radii | list of number | Required |
Enter at least two aligned positive energies and finite squared-radius values with energy variation. Fit least squares and require positive slope. Return threshold, beam radius and slope using the input unit basis.
radius²=intercept+slope ln(E); thresholdE=exp(−intercept/slope); beamRadius=sqrt(2slope) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| thresholdEnergy | Fitted threshold energy | number; minimum: 0 |
| beamRadius | Fitted beam radius | number; minimum: 0 |
| slope | Liu-plot slope | number |
{
"input": {
"pulseEnergies": [
1,
2.718281828459045
],
"squaredRadii": [
0,
1
]
},
"output": {
"thresholdEnergy": 1,
"beamRadius": 1.4142135623730951,
"slope": 1
}
}Limitations and assumptions
Squared radii are not constrained nonnegative. No uncertainty, R², incubation, absorption or threshold fluence is calculated.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Annealing Thermal Budget: Convert an annealing step to an Arrhenius-equivalent thermal budget. For a complementary task, use Ablation Sampling Area: Estimate gross and nonoverlapping area sampled by a sequence of ablation pulses.
References
-
Ablation Threshold Fit — tool.io
Similar or alternative tools
- Annealing Thermal Budget
Convert an annealing step to an Arrhenius-equivalent thermal budget.
- Ablation Sampling Area
Estimate gross and nonoverlapping area sampled by a sequence of ablation pulses.