I have a program about the pulse propagation The program is: I have a input gaussian pulse ,the form is A(0,t)exp[-(t-t0) ^2/T^2]*exp[i*wc*t] and it's fourier transform form is A(0,w)=sqrt(2*pi)*T*E0*exp[- 1/2*T^2*(w-wc)^2], now when the pulse propagation along the z direction ,and in position z, the spectrum is A(z,w)=A(0,w)*exp[i*w*n(w)/c], where the n(w) is the refrection index of the materials,it is the function of w. now how to get the time signal? Is it A(z,t)=1/(2*pi)*int[A(z,w)*exp(-i*w*t)]? and how to simulate it? Here int() is integration. w is the angular frequency can you hellp me?