1. Input pulse duration: fs 2. Output pulse duration: ps 1. Input pulse duration: fs 2. Applied second-order dispersion (GDD): fs2
Diagram View

This program calculates the relationship between pulse duration and second-order dispersion (GDD).
Function 1: given the input and output pulse durations, compute the required second-order dispersion.
Function 2: given the input pulse duration and second-order dispersion, compute the output pulse duration.

1. Pulse duration after applying second-order dispersion:
$$\tau_{out} =\tau_{in}\sqrt{1+(\frac{4\ln2\cdot\phi''}{\tau_{in}^2})^2}$$
2. Required second-order dispersion for stretching:
$$\phi'' =\frac{\tau_{in}\sqrt{\tau_{out}^2-\tau_{in}^2}}{4\ln2}$$

[01] Nan Wang, PhD thesis, p. 49.