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for example say i have the guassian input as :

[tex]A(0,T) = \sqrt{Po}*exp(-T^2/2To^2) [/tex]

then we can normalize it by defining t=T/To and [tex]A(z,T) = \sqrt{Po}U(z,t)[/tex]

Po= peak power t= normalized to the input pulse width To. if the peak of the pulse is (arbirtarily) set in t=T=0, we have U(z=0,t=0)=1 . with these notations both t and U are now dimensionless and the normalized form the gaussin input can be written as:

[tex]U(0,t) = exp(-t^2/2)[/tex]

i am just a bit confused as to what this means. in the normalized form the peak power dissappears and why is the normalized form uselfull is it because it makes calculations easier?