Time–Bandwidth Product calculator
Minimum pulse duration for transform-limited Gaussian / sech² pulses.
Category: Laser & Ultrafast
Formula: Δν·Δτ = 2·ln2/π = 0.4413 (Gauss), 4·ln²(1+√2)/π² = 0.3148 (sech²) · Δν = c·Δλ/λ²
Inputs
| Input | Parameter | Unit | Default |
|---|---|---|---|
| Center λ | lam | nm | 800 |
| Δλ (FWHM) | dlam | nm | 30 |
Result with the default inputs
- Δν: 14.0528 THz
- Δτ Gauss: 31.401 fs
- Δτ sech²: 22.4036 fs
Open it with your own values: put each input in the address as a parameter, for example /calculators/time-bandwidth-product?lam=800. A unit other than the listed one goes in <parameter>_unit.
Read more: Wikipedia: Bandwidth-limited pulse