Volume-Bragg Bandpass Check

Check whether a signal lies inside a volume-Bragg grating passband.

Description

A symmetric passband check compares wavelength detuning with half the specified full width.

A symmetric passband check compares wavelength detuning with half the specified full width. Edge margin is positive inside the interval.1

Check whether a signal lies inside a volume-Bragg grating passband.

When to use Volume-Bragg Bandpass Check

Use this tool to check whether a signal lies inside a volume-Bragg grating passband.

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 Volume-Bragg Bandpass Check 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 gratingCenterNanometers, fullWidthNanometers, signalWavelengthNanometers using the field table and calculation rules, then run the tool.
  3. Read detuningNanometers, edgeMarginNanometers, withinPassband. 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
gratingCenterNanometersGrating center wavelength (nm)number; minimum: 0Required
fullWidthNanometersFull-width passband (nm)number; minimum: 0Required
signalWavelengthNanometersSignal wavelength (nm)number; minimum: 0Required

Enter nonnegative center, full width and signal wavelength in nm. Return detuning, signed margin and inclusive in-band flag. Zero width admits only the center.

detuning=|signal−center|; margin=width/2−detuning

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

Output fieldMeaningValue type
detuningNanometersAbsolute detuning (nm)number; minimum: 0
edgeMarginNanometersPassband edge margin (nm)number
withinPassbandWithin passbandboolean
json
{
  "input": {
    "gratingCenterNanometers": 1064,
    "fullWidthNanometers": 1,
    "signalWavelengthNanometers": 1064.5
  },
  "output": {
    "detuningNanometers": 0.5,
    "edgeMarginNanometers": 0,
    "withinPassband": true
  }
}

Limitations and assumptions

No actual grating transmission curve, incidence dependence or wavelength positivity beyond schema bounds is established.

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. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use TDFA Band Overlap: Calculate overlap between TDFA gain and a requested signal band. For a complementary task, use NOPA Bandwidth Overlap: Calculate spectral overlap between a NOPA seed and gain window.

References

  1. Volume-Bragg Bandpass Check — tool.io

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