Inverse-Compton Photon Energy

Estimate low-recoil head-on inverse-Compton backscatter photon energy as 4γ²E.

Description

A low-recoil head-on inverse-Compton estimate multiplies incident photon energy by four times electron Lorentz factor squared.

A low-recoil head-on inverse-Compton estimate multiplies incident photon energy by four times electron Lorentz factor squared. This is a reduced energy-scaling model.1

Estimate low-recoil head-on inverse-Compton backscatter photon energy as 4γ²E.

When to use Inverse-Compton Photon Energy

Use this tool to estimate low-recoil head-on inverse-Compton backscatter photon energy as 4γ²E.

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 Inverse-Compton Photon Energy 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 electronLorentzFactor, incidentPhotonEnergyEv using the field table and calculation rules, then run the tool.
  3. Read backscatteredPhotonEnergyEv. 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
electronLorentzFactorElectron Lorentz factornumber; minimum: 1Required
incidentPhotonEnergyEvIncident photon energy (eV)number; minimum: 0Required

Enter Lorentz factor≥1 and nonnegative incident eV. Return scattered eV.

scatteredEnergy=4γ² incidentEnergy

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

Output fieldMeaningValue type
backscatteredPhotonEnergyEvHead-on backscatter photon energy (eV)number; minimum: 0
json
{
  "input": {
    "electronLorentzFactor": 100,
    "incidentPhotonEnergyEv": 1
  },
  "output": {
    "backscatteredPhotonEnergyEv": 40000
  }
}

Limitations and assumptions

Finite collision angle, recoil and nonlinear laser strength are omitted. The tool does not enforce the approximation regime.

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 McWhirter Density Threshold: Calculate the McWhirter LTE minimum electron density and compare a measurement.

References

  1. Inverse-Compton Photon Energy — tool.io

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