Photon-Pressure Nudge

Estimate ideal photon-pressure force, impulse, and target velocity change.

Description

Ideal photon-pressure force transfers momentum from incident power, with reflectivity increasing the force.

Ideal photon-pressure force transfers momentum from incident power, with reflectivity increasing the force. Unreflected power is treated as absorbed.1

Estimate ideal photon-pressure force, impulse, and target velocity change.

When to use Photon-Pressure Nudge

Use this tool to estimate ideal photon-pressure force, impulse, and target velocity change.

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 Photon-Pressure Nudge 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, reflectivity, illuminationSeconds, targetMassKilograms using the field table and calculation rules, then run the tool.
  3. Read radiationPressureForceNewtons, impulseNewtonSeconds, velocityChangeMetersPerSecond. 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
opticalPowerWattsIncident optical power (W)number; minimum: 0Required
reflectivityTarget reflectivitynumber; minimum: 0; maximum: 1Required
illuminationSecondsIllumination duration (s)number; minimum: 0Required
targetMassKilogramsTarget mass (kg)number; minimum: 0Required

Enter nonnegative power/time, reflectivity from zero to one and positive mass. Return force, impulse and velocity change in SI units.

force=(1+R)P/c; impulse=force×time; velocityChange=impulse/mass

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

Output fieldMeaningValue type
radiationPressureForceNewtonsRadiation-pressure force (N)number; minimum: 0
impulseNewtonSecondsDelivered impulse (N·s)number; minimum: 0
velocityChangeMetersPerSecondVelocity change (m/s)number; minimum: 0
json
{
  "input": {
    "opticalPowerWatts": 1000,
    "reflectivity": 1,
    "illuminationSeconds": 10,
    "targetMassKilograms": 100
  },
  "output": {
    "radiationPressureForceNewtons": 0.000006671281903963041,
    "impulseNewtonSeconds": 0.00006671281903963041,
    "velocityChangeMetersPerSecond": 6.671281903963041e-7
  }
}

Limitations and assumptions

Transmission, incidence angle, heating, recoil geometry and changing target mass are excluded.

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 Optical-Tweezer Force: Estimate optical-tweezer gradient force using a caller-supplied trapping efficiency. For a complementary task, use Power-Beaming Efficiency: Calculate end-to-end optical power-beaming efficiency and power loss.

References

  1. Photon-Pressure Nudge — tool.io

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