Hatch Overlap

Calculate adjacent hatch overlap from effective beam diameter and hatch spacing.

Description

Hatch overlap compares adjacent scan spacing with effective beam diameter.

Hatch overlap compares adjacent scan spacing with effective beam diameter. A positive uncovered gap marks separation beyond the diameter.1

Calculate adjacent hatch overlap from effective beam diameter and hatch spacing.

When to use Hatch Overlap

Use this tool to calculate adjacent hatch overlap from effective beam diameter and hatch spacing.

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 Hatch Overlap 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 beamDiameterMillimeters, hatchSpacingMillimeters using the field table and calculation rules, then run the tool.
  3. Read overlapPercent, uncoveredGapMillimeters. 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
beamDiameterMillimetersEffective beam diameter (mm)number; minimum: 0Required
hatchSpacingMillimetersHatch spacing (mm)number; minimum: 0Required

Enter positive beam diameter and nonnegative spacing in mm. Return signed overlap and nonnegative gap. Equality gives zero overlap/gap.

overlap%=100(1−spacing/diameter); gap=max(0,spacing−diameter)

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

Output fieldMeaningValue type
overlapPercentAdjacent-track overlap (%)number
uncoveredGapMillimetersUncovered gap (mm)number; minimum: 0
json
{
  "input": {
    "beamDiameterMillimeters": 0.1,
    "hatchSpacingMillimeters": 0.08
  },
  "output": {
    "overlapPercent": 20.000000000000007,
    "uncoveredGapMillimeters": 0
  }
}

Limitations and assumptions

No Gaussian intensity threshold, thermal accumulation or manufactured coverage quality is modeled.

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 Microdissection Pulse Overlap: Calculate pulse spacing and linear overlap for laser microdissection. For a complementary task, use Wobble Weld Coverage: Estimate sinusoidal wobble path factor, coverage width, and cycle density.

References

  1. Hatch Overlap — tool.io

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