  Fano profiles, with their asymmetric character, have many potential
applications in technology. The design of Fano profiles into optical systems
may create new nonlinear and switchable metamaterials, high-quality optical
waveguides, ultrasensitive media for chemical or biosensing etc. In this paper,
we consider an external field-driven double Fano model, in which, instead of
one autoionizing state, there are two discrete states embedded in one
continuum. We assume further that the external electromagnetic field can be
decomposed into two parts: a deterministic (or coherent) part and a randomly
fluctuating chaotic component, which is a \delta-correlated, Gaussian, Markov
and stationary process (white noise). This assumption corresponds to the case
of the real multimode laser operating without any correlation between the
modes. We solve a set of coupled stochastic integro-differential equations
involving the Fano model with two discrete levels. We derive an exact formula
by determining the photoelectron spectrum and compare it with the results
obtained in our previous papers.
