LWFA Dephasing Length

Estimate LWFA dephasing length from plasma and laser wavelengths.

Description

An LWFA dephasing estimate scales plasma wavelength cubed by laser wavelength squared.

An LWFA dephasing estimate scales plasma wavelength cubed by laser wavelength squared. It describes a particular reduced propagation model.1

Estimate LWFA dephasing length from plasma and laser wavelengths.

When to use LWFA Dephasing Length

Use this tool to estimate LWFA dephasing length from plasma and laser wavelengths.

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 LWFA Dephasing Length 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 plasmaWavelengthMeters, laserWavelengthMeters using the field table and calculation rules, then run the tool.
  3. Read dephasingLengthMeters, dephasingCycles. 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
plasmaWavelengthMetersPlasma wavelength (m)number; minimum: 0Required
laserWavelengthMetersLaser wavelength (m)number; minimum: 0Required

Enter positive wavelengths in meters. Return dephasing length and its count of plasma periods.

length=λplasma³/(2λlaser²); cycles=length/λplasma

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

Output fieldMeaningValue type
dephasingLengthMetersEstimated dephasing length (m)number; minimum: 0
dephasingCyclesDephasing length in plasma wavelengthsnumber; minimum: 0
json
{
  "input": {
    "plasmaWavelengthMeters": 2,
    "laserWavelengthMeters": 1
  },
  "output": {
    "dephasingLengthMeters": 4,
    "dephasingCycles": 2
  }
}

Limitations and assumptions

No density evolution, pump depletion, bubble geometry or full acceleration simulation is performed.

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 Wakefield Gradient Comparison: Calculate wakefield energy gain and compare the gradient with a supplied reference. For a complementary task, use Inverse-Compton Photon Energy: Estimate low-recoil head-on inverse-Compton backscatter photon energy as 4γ²E.

References

  1. LWFA Dephasing Length — tool.io

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