Assume a Gaussian pulse of form Show that the Fourier transform is given by You will have...

Assume a Gaussian pulse of form

 Show that the Fourier transform is given by

 You will have to use the following integral [see Appendix A]

Show that the temporal coherence is ~τ. Assume τ >> (1/ω0), plot the Fourier transform A(ω) [as a function of ω] and interpret it physically. Show that the frequency spread Δω ~1/τ.