a. Find the Fourier transform c(?) of the function where A, t0, and D are constants. b. Sketch…

a. Find the Fourier transform c(ω) of
the function

where A, t0, and D are constants.

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b. Sketch graphs of I(t) and c(ω).

c. Explain in physical terms what c(ω)
represents if I(t) represents the intensity of a pulse of radiation as a
function of time. Explain why c(ω) depends on t0 as it does and describe
what happens if t0 =0.