Optical-Tweezer Force

Estimate optical-tweezer gradient force using a caller-supplied trapping efficiency.

Description

An optical-tweezer force estimate scales optical momentum by a supplied trapping efficiency and medium index.

An optical-tweezer force estimate scales optical momentum by a supplied trapping efficiency and medium index. Efficiency encodes the particle-and-beam interaction externally.1

Estimate optical-tweezer gradient force using a caller-supplied trapping efficiency.

When to use Optical-Tweezer Force

Use this tool to estimate optical-tweezer gradient force using a caller-supplied trapping efficiency.

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 Optical-Tweezer Force 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 opticalPowerWatts, mediumRefractiveIndex, trappingEfficiency using the field table and calculation rules, then run the tool.
  3. Read gradientForceNewtons, gradientForcePiconewtons. 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
opticalPowerWattsTrapping-beam power (W)number; minimum: 0Required
mediumRefractiveIndexMedium refractive indexnumber; minimum: 0Required
trappingEfficiencyDimensionless trapping efficiencynumber; minimum: 0Required

Enter nonnegative power, refractive index and trapping efficiency. Return force in newtons and pN using c=299792458 m/s.

force=nPQ/c

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

Output fieldMeaningValue type
gradientForceNewtonsEstimated gradient force (N)number; minimum: 0
gradientForcePiconewtonsEstimated gradient force (pN)number; minimum: 0
json
{
  "input": {
    "opticalPowerWatts": 299792458,
    "mediumRefractiveIndex": 1,
    "trappingEfficiency": 1
  },
  "output": {
    "gradientForceNewtons": 1,
    "gradientForcePiconewtons": 1000000000000
  }
}

Limitations and assumptions

Efficiency is not constrained to one or derived from geometry. No trapping stability, stiffness or Brownian motion is assessed.

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 Photon-Pressure Nudge: Estimate ideal photon-pressure force, impulse, and target velocity change. For a complementary task, use Focused-Beam Waist Location: Propagate a Gaussian beam q parameter through a thin lens to locate the new waist.

References

  1. Optical-Tweezer Force — tool.io

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