Folded-Cavity Astigmatism
Quantify tangential/sagittal waist mismatch in a folded cavity.
Description
Folded-cavity astigmatism here compares measured tangential and sagittal waist sizes.
Folded-cavity astigmatism here compares measured tangential and sagittal waist sizes. The ratio always uses larger over smaller.1
Quantify tangential/sagittal waist mismatch in a folded cavity.
When to use Folded-Cavity Astigmatism
Use this tool to quantify tangential/sagittal waist mismatch in a folded cavity.
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 Folded-Cavity Astigmatism 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 tangentialWaistMicrometers, sagittalWaistMicrometers using the field table and calculation rules, then run the tool.
- Read waistRatio, astigmatismPercent. 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 |
|---|---|---|---|
| tangentialWaistMicrometers | Tangential waist (µm) | number; minimum: 0 | Required |
| sagittalWaistMicrometers | Sagittal waist (µm) | number; minimum: 0 | Required |
Enter positive waists in µm. Return ratio≥1 and nonnegative percentage mismatch.
ratio=max(waists)/min(waists); mismatch%=100(ratio−1) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| waistRatio | Larger-to-smaller waist ratio | number; minimum: 1 |
| astigmatismPercent | Waist mismatch (%) | number; minimum: 0 |
{
"input": {
"tangentialWaistMicrometers": 100,
"sagittalWaistMicrometers": 80
},
"output": {
"waistRatio": 1.25,
"astigmatismPercent": 25
}
}Limitations and assumptions
No folded-cavity geometry, sagittal/tangential ABCD model or correction design is calculated.
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 Resonator Stability: Calculate two-mirror resonator g parameters and test the strict stability interval. For a complementary task, use Focused-Beam Waist Location: Propagate a Gaussian beam q parameter through a thin lens to locate the new waist.
References
-
Folded-Cavity Astigmatism — tool.io
Similar or alternative tools
- Resonator Stability
Calculate two-mirror resonator g parameters and test the strict stability interval.
- Focused-Beam Waist Location
Propagate a Gaussian beam q parameter through a thin lens to locate the new waist.