Radial-Polarization Spot Comparison

Compare radial- and linear-polarization focal spot diameters and areas.

Description

Focal-spot area comparison squares the diameter ratio for circular spots.

Focal-spot area comparison squares the diameter ratio for circular spots. Negative reduction means the radial-polarization spot is larger.1

Compare radial- and linear-polarization focal spot diameters and areas.

When to use Radial-Polarization Spot Comparison

Use this tool to compare radial- and linear-polarization focal spot diameters and areas.

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 Radial-Polarization Spot Comparison 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 radialSpotDiameterMicrometers, linearSpotDiameterMicrometers using the field table and calculation rules, then run the tool.
  3. Read diameterRatio, areaReductionPercent. 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
radialSpotDiameterMicrometersRadially polarized spot diameter (µm)number; minimum: 0Required
linearSpotDiameterMicrometersLinearly polarized spot diameter (µm)number; minimum: 0Required

Enter nonnegative radial and positive linear diameters in µm. Return ratio and signed area reduction.

ratio=radialDiameter/linearDiameter; reduction%=100(1−ratio²)

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

Output fieldMeaningValue type
diameterRatioRadial-to-linear diameter rationumber; minimum: 0
areaReductionPercentSpot-area reduction (%)number
json
{
  "input": {
    "radialSpotDiameterMicrometers": 0.4,
    "linearSpotDiameterMicrometers": 0.5
  },
  "output": {
    "diameterRatio": 0.8,
    "areaReductionPercent": 35.999999999999986
  }
}

Limitations and assumptions

No high-NA field calculation, spot-shape correction or polarization calibration is supplied.

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 Focused-Beam Waist Location: Propagate a Gaussian beam q parameter through a thin lens to locate the new waist. For a complementary task, use Confocal Lateral Resolution: Estimate confocal lateral FWHM and a simple finite-pinhole adjustment.

References

  1. Radial-Polarization Spot Comparison — tool.io

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