Fano resonance can make a homogeneous cylinder invisible: theoretical proposal and experimental demonstration

We study the scattering of light from homogeneous cylindrical objects embedded in a transparent and homo- geneous surrounding medium that is know as the Mie problem. We analyze Mie scattering by expansion of the scattering amplitude in the series near resonant frequency and find that Lorenz-Mie coefficient can be de- scribed by Fano formula, while both waves are involved in interaction completely and intensity vanishes at the special point of switching to the invisible regime. We analyze Fano interference between resonant wave and background in general case and discuss scattering-cancellation condition. We study the influence of the aspect ratio on the mode structure and find that Mie modes shift to the long wave lengths when the cylinder aspect ratio r/h decreases. Experimentally measured spectra in microwave range are in agreement with the theoretical predictions.

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