For simulation purpose. I have incoming optic pulse envelope of which in time is F(t)=E(t) and consequent frequency form G(w). If its affected by AOM with WSHIFT frequency how it affected original pulse form ?

Am I right ?

Lets scheme will be: Pulse1 -> AOM -> Pulse2,  like:

Pulse1=E(t),    Pulse2=E(t)*exp(1i*WSHIFT*t), and in frequency domain it will make:

G(w) -> G(w+WSHIFT*t))