Future upgrades of the LHCb RICH

The two RICH detectors in LHCb have successfully collected data corresponding to 7 fb$^{-1}$ of integrated luminosity since 2010 and have been essential for most of the physics programme of LHCb. Preparations are underway to upgrade them for the run starting in 2021. The long term physics goals of LHCb call for a further major upgrade of the detector system to collect data corresponding to 50 fb$^{-1}$ of integrated luminosity by 2029 and 300 fb$^{-1}$ thereafter. Feasibility studies are underway for measuring the time of arrival of the photons on the RICH detector plane in addition to their spatial coordinates. Simulation studies show how the RICH hit time information can be used to improve the particle identification performance. Silicon photomultipliers help to improve the RICH angular resolution without reducing the photon yield. Options to use novel radiators for extending the momentum coverage are being considered.