Wakefield Gradient Comparison
Calculate wakefield energy gain and compare the gradient with a supplied reference.
Description
Uniform accelerating-field gain equals gradient times interaction length for a unit elementary charge.
Uniform accelerating-field gain equals gradient times interaction length for a unit elementary charge. A supplied reference supplies the gradient comparison.1
Calculate wakefield energy gain and compare the gradient with a supplied reference.
When to use Wakefield Gradient Comparison
Use this tool to calculate wakefield energy gain and compare the gradient with a supplied reference.
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 Wakefield Gradient Comparison and understand its results
- 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.
- Enter acceleratingFieldVPerMeter, interactionLengthMeters, referenceGradientVPerMeter using the field table and calculation rules, then run the tool.
- Read energyGainElectronvolts, gradientRatio. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- 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 field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| acceleratingFieldVPerMeter | Accelerating field (V/m) | number | Required |
| interactionLengthMeters | Interaction length (m) | number; minimum: 0 | Required |
| referenceGradientVPerMeter | Reference gradient (V/m) | number; minimum: 0 | Required |
Enter finite signed field, nonnegative length and positive reference gradient. Return signed eV gain and gradient ratio.
gain_eV=field_V/m×length_m; ratio=field/reference Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| energyGainElectronvolts | Single-charge energy gain (eV) | number |
| gradientRatio | Gradient-to-reference ratio | number |
{
"input": {
"acceleratingFieldVPerMeter": 100,
"interactionLengthMeters": 2,
"referenceGradientVPerMeter": 50
},
"output": {
"energyGainElectronvolts": 200,
"gradientRatio": 2
}
}Limitations and assumptions
Charge magnitude, phase evolution, dephasing and beam loading are not modeled.
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 LWFA Dephasing Length: Estimate LWFA dephasing length from plasma and laser wavelengths. For a complementary task, use Inverse-Compton Photon Energy: Estimate low-recoil head-on inverse-Compton backscatter photon energy as 4γ²E.
References
-
Wakefield Gradient Comparison — tool.io
Similar or alternative tools
- LWFA Dephasing Length
Estimate LWFA dephasing length from plasma and laser wavelengths.
- Inverse-Compton Photon Energy
Estimate low-recoil head-on inverse-Compton backscatter photon energy as 4γ²E.