Cantilever Photoacoustic Gain

Compare cantilever and baseline photoacoustic signal and SNR.

Description

Photoacoustic gain comparison separates signal amplification from signal-to-noise improvement.

Photoacoustic gain comparison separates signal amplification from signal-to-noise improvement. Signal and noise measurements must use a compatible basis.1

Compare cantilever and baseline photoacoustic signal and SNR.

When to use Cantilever Photoacoustic Gain

Use this tool to compare cantilever and baseline photoacoustic signal and SNR.

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 Cantilever Photoacoustic Gain 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 baselineDisplacementNoise, cantileverDisplacementNoise, baselineSignal, cantileverSignal using the field table and calculation rules, then run the tool.
  3. Read signalGain, snrGain. 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
baselineDisplacementNoiseBaseline displacement noisenumber; minimum: 0Required
cantileverDisplacementNoiseCantilever displacement noisenumber; minimum: 0Required
baselineSignalBaseline photoacoustic signalnumber; minimum: 0Required
cantileverSignalCantilever photoacoustic signalnumber; minimum: 0Required

Enter positive baseline signal and both noise references, and nonnegative cantilever signal. Return dimensionless gains.

signalGain=Sc/Sb; SNRgain=(Sc/Nc)/(Sb/Nb)

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

Output fieldMeaningValue type
signalGainCantilever-to-baseline signal gainnumber; minimum: 0
snrGainCantilever-to-baseline SNR gainnumber; minimum: 0
json
{
  "input": {
    "baselineDisplacementNoise": 2,
    "cantileverDisplacementNoise": 1,
    "baselineSignal": 10,
    "cantileverSignal": 20
  },
  "output": {
    "signalGain": 2,
    "snrGain": 4
  }
}

Limitations and assumptions

No cantilever dynamics, noise estimation or gas concentration 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 Cavity Polarimetry Sensitivity: Estimate cavity-enhanced polarimetry rotation sensitivity from finesse and detector noise. For a complementary task, use Beat-Note Phase Noise: Calculate beat-note RMS phase noise and equivalent timing jitter.

References

  1. Cantilever Photoacoustic Gain — tool.io

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