THz Time-of-Flight Depth

Convert a THz reflection delay into subsurface layer depth.

Description

Reflection time of flight doubles propagation distance through a layer.

Reflection time of flight doubles propagation distance through a layer. Refractive index converts vacuum speed to the assumed material speed.1

Convert a THz reflection delay into subsurface layer depth.

When to use THz Time-of-Flight Depth

Use this tool to convert a THz reflection delay into subsurface layer depth.

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 THz Time-of-Flight Depth 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 roundTripDelaySeconds, refractiveIndex using the field table and calculation rules, then run the tool.
  3. Read layerDepthMeters, layerDepthMillimeters. 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
roundTripDelaySecondsLayer round-trip delay (s)number; minimum: 0Required
refractiveIndexLayer refractive indexnumber; minimum: 0Required

Enter nonnegative delay in seconds and positive refractive index. Return depth in meters and mm.

depth=c×roundTripDelay/(2n), c=299792458 m/s

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

Output fieldMeaningValue type
layerDepthMetersLayer depth (m)number; minimum: 0
layerDepthMillimetersLayer depth (mm)number; minimum: 0
json
{
  "input": {
    "roundTripDelaySeconds": 2e-11,
    "refractiveIndex": 2
  },
  "output": {
    "layerDepthMeters": 0.0014989622899999999,
    "layerDepthMillimeters": 1.49896229
  }
}

Limitations and assumptions

No echo picking, dispersion, oblique incidence or layered-medium fit 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 Tablet-Coating Thickness: Convert THz round-trip delay into tablet-coating thickness. For a complementary task, use THz Waveform Spectrum: Compute a direct discrete magnitude spectrum from a THz time-domain waveform.

References

  1. THz Time-of-Flight Depth — tool.io

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