The resulting interaction of two coherent waves is a fractal standing wave. That is, the interference pattern will be stable in time (phase), in amplitude (power), polarization vector (direction), and frequency (stability). Since any fractal construct is a self-affine structure, that is, formed from its own analogues, this property underlies the production and restoration of holograms in its individual fragments.
To obtain a holographic response, the resonator must either itself have the ability to transform the radiation incident on it into a coherent form, or the incident radiation must initially be coherent. The hologram arising from the resonator carries not only the same characteristics and properties as the radiation incident on the resonator, but also the specific features of the resonator topology itself. As a result, if the resonator initiates a coherent transformation of incoherent EM radiation incident on it, the resulting hologram has the same ability to transform an EM pulse of the corresponding frequency range that interacts with it into a coherent state.
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