  The scattering amplitude from a set of discrete states coupled to a continuum
became known as the Fano profile, characteristic for its asymmetric lineshape
and originally investigated in the context of photoionization. The generality
of the model, and the proliferation of engineered nanostructures with confined
states gives immense success to the Fano lineshape, which is invoked whenever
an asymmetric lineshape is encountered. However, many of these systems do not
conform to the initial model worked out by Fano in that i) they are subject to
dissipative processes and ii) the observables are not entirely analogous to the
ones measured in the original photoionization experiments. In this letter, we
work out the full optical response of a Fano model with dissipation. We find
that the exact result for absorption, Raman, Rayleigh and fluorescence emission
is a modified Fano profile where the typical lineshape has an additional
Lorentzian contribution. Expressions to extract model parameters from a set of
relevant observables are given.
