e-at for t > 0





Lorentzian
RE: a/(a2 + 4π2ν2)
IM: -2πν/(a2 + 4π2ν2)

The imaginary component is shown magnified 10x in amplitude. It is worth noting that the width (Γ) of the real Lorentzian peak is related to a by

Γ = a/π .