Grating pair compressor

Dispersion parameters of grating pair compressor/stretcher for given distance between gratings \(L\), angle of incidence \(\vartheta_0\) and grooves density \(d^{-1}\). Formulas for the double-pass GDD and TOD are, respectively: $$ \mathrm{GDD}(\lambda)=\frac{\lambda^{3}L}{\pi c^{2}d^{2}}\left[1-\left(\frac{\lambda}{d}-\sin\vartheta_0\right)^{2}\right]^{-\frac{3}{2}},$$ $$\mathrm{TOD}(\lambda)=-\frac{3\lambda}{2\pi c}\frac{\partial^{2}\phi_{g}}{\partial\omega^{2}}\frac{1+\frac{\lambda}{d}\sin\vartheta_0-\sin^{2}\vartheta_0}{1-\left(\frac{\lambda}{d}-\sin\vartheta_0\right)^{2}}.$$

Wavelength range

Distance \( L \)
mm
AOI \( \vartheta_0 \)
deg
Grooves \( d^{ - 1 } \)
/mm

Feedback button