Pulse & Dispersion Lab

Calculate ultrashort laser pulse temporal broadening, group delay dispersion (GDD), and frequency chirp after propagation through dispersive optical media.

Initial Pulse

Center Wavelength (λ_0, nm)

Initial FWHM Duration (τ_0, fs)

Pulse Temporal Shape

Dispersion Configuration

Optical Material

Propagation Distance (L, mm)

Precision Mode

Temporal Pulse & Chirp Envelope

- - Initial (τ_0)── Broadened E-Field (chirped)── Broadened Envelope

Dispersion & Broadening Outputs

Broadened FWHM (τ_out)64.097 fs

Total System GDD723.24 fs²

Broadening Ratio1.28x

Chirp Parameter (α)0.8021

Output TBP0.56533

Material GVD36.162 fs²/mm

Refractive Index n(λ)1.45332

Pulse Broadening & Dispersion Theory

Gaussian Broadening Factor

\tau_{\mathrm{out}} = \tau_0 \sqrt{1 + \alpha^2}

Calculates FWHM pulse duration after propagation through a quadratic dispersion medium.

Chirp Parameter

\alpha = \frac{4 \ln(2) \cdot \mathrm{GDD}}{\tau_0^2}

Determines the linear frequency sweep rate induced by group delay dispersion.

Group Velocity Dispersion (GVD)

\mathrm{GVD} = \frac{\lambda_0^3}{2\pi c^2} \frac{d^2n}{d\lambda^2}

Relates GVD to the second derivative of the refractive index with respect to wavelength.