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Based on the substantial difference in the response time for the resonant andbackground partitions at stepwise variations of the exiting signal, a simpleexactly integrable model describing the dynamic Fano resonance (DFRs) isproposed. The model does not have any fitting parameters, may include anynumber of resonant partitions and exhibits high accuracy. It is shown that atthe point of the destructive interference any sharp variation of the amplitudeof the excitation (no matter an increase or a decrease) gives rise topronounced "flashes" in the intensity of the output signal. In particular, theflash should appear behind the trailing edge of the exciting pulse, when theexcitation is already over. The model is applied to explain the DFRs at thelight scattering by a dielectric cylinder with two resonant modes excitedsimultaneously and exhibits the excellent agreement with the results of thedirect numerical integration of the Maxwell equations.

Dynamic Fano resonances: From toy model to resonant Mie scattering