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The tunability of radio environments with reconfigurable intelligent surfaces(RISs) enables the paradigm of smart radio environments in which wirelesssystem engineers are no longer limited to only controlling the radiated signalsbut can in addition also optimize the wireless channels. Many practical radioenvironments include complex scattering objects, especially indoor and factorysettings. Multipath propagation therein creates seemingly intractable couplingeffects between RIS elements, leading to the following questions: How can aRIS-parametrized rich-scattering environment be modelled in a physics-compliantmanner? Can the parameters of such a model be estimated for a specific butunknown experimental environment? And how can the RIS configuration beoptimized given a calibrated physics-compliant model? This chapter summarizesthe current state of the art in this field, highlighting the recently unlockedpotential of frugal physical-model-based open-loop control of RIS-parametrizedrich-scattering radio environments.

RIS-Parametrized Rich-Scattering Environments: Physics-Compliant Models, Channel Estimation, and Optimization