Time–Bandwidth Product Checker
Compare an ultrafast pulse with the Gaussian or sech² transform limit using the narrow-band conversion Δν ≈ cΔλ/λ² and an explicit tolerance.
Description
Compare an ultrafast pulse with the Gaussian or sech² transform limit using the narrow-band conversion Δν ≈ cΔλ/λ² and an explicit tolerance.
Time–Bandwidth Product Checker: Compare an ultrafast pulse with the Gaussian or sech² transform limit using the narrow-band conversion Δν ≈ cΔλ/λ² and an explicit tolerance.
When to use Time–Bandwidth Product
Use this laser calculation or lookup for a first-pass optics, pulse, beam, gain-medium, diode, fiber, or safety comparison under explicitly stated wavelength and operating conditions.
- Pulse duration (fs)
- Intensity FWHM pulse duration.
- Spectral width (nm)
- Intensity FWHM spectral width.
- Center wavelength (nm)
- Center wavelength of the spectrum.
- Pulse shape
- Assumed pulse envelope shape.
- Relative tolerance
- Allowed relative deviation from the ideal shape-specific product.
How Time–Bandwidth Product works
Compare an ultrafast pulse with the Gaussian or sech² transform limit using the narrow-band conversion Δν ≈ cΔλ/λ² and an explicit tolerance. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1
- TBP
- Measured Δν·Δτ product.
- Limit
- Transform limit for the chosen shape.
- Transform limited
- True when the product lies within the selected tolerance of the assumed transform limit.
- Margin
- Measured product divided by the assumed transform limit.
Limitations and assumptions
- Laser behavior depends on wavelength, mode, coherence, pulse shape, beam quality, cavity and optical losses, material data, temperature, alignment, nonlinear effects, damage thresholds, and measurement definitions. Lookup values are not substitutes for current device data or laser-safety analysis.
- Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.
Alternative or Complementary approaches
Verify constants and limits with primary literature and manufacturer data, propagate tolerances, model the complete optical train, and apply the relevant laser safety standard.
References
-
Ultrashort pulse — Wikipedia contributors
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