Pulse-Front Tilt
Calculate pulse-front tilt from center wavelength and angular dispersion.
Description
Pulse-front tilt can be represented by a tangent proportional to angular dispersion and center wavelength.
Pulse-front tilt can be represented by a tangent proportional to angular dispersion and center wavelength. The inverse tangent gives the signed tilt angle.1
Calculate pulse-front tilt from center wavelength and angular dispersion.
When to use Pulse-Front Tilt
Use this tool to calculate pulse-front tilt from center wavelength and angular dispersion.
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 Pulse-Front Tilt 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 centerWavelengthMeters, angularDispersionRadPerMeter using the field table and calculation rules, then run the tool.
- Read tiltTangent, pulseFrontTiltDegrees. 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 |
|---|---|---|---|
| centerWavelengthMeters | Center wavelength (m) | number; minimum: 0 | Required |
| angularDispersionRadPerMeter | Angular dispersion (rad/m) | number | Required |
Enter nonnegative wavelength in meters and finite signed angular dispersion in rad/m. Return tangent and degrees.
tanTilt=λ×angularDispersion; tilt=atan(tanTilt) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| tiltTangent | Pulse-front tilt tangent | number |
| pulseFrontTiltDegrees | Pulse-front tilt (°) | number |
{
"input": {
"centerWavelengthMeters": 1,
"angularDispersionRadPerMeter": 1
},
"output": {
"tiltTangent": 1,
"pulseFrontTiltDegrees": 45
}
}Limitations and assumptions
No material dispersion, imaging magnification or actual pulse-front measurement is supplied.
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 Pump–Probe Delay Stage: Convert pump–probe delay to retroreflector displacement and quantized stage steps. For a complementary task, use Net Dispersion: Sum segment dispersion-length products and report the net dispersion sign.
References
-
Pulse-Front Tilt — tool.io
Similar or alternative tools
- Pump–Probe Delay Stage
Convert pump–probe delay to retroreflector displacement and quantized stage steps.
- Net Dispersion
Sum segment dispersion-length products and report the net dispersion sign.