No example is available for this instrument since it is not yet commissioned. However, the validity of the assumptions on which the design of GRANIT relies was demonstrated by an experiment performed on the reflectometer D17 in 2009 (see below).
Neutron whispering gallery
The "whispering gallery" effect has been known since ancient times for sound waves in air, later in water and more recently for a broad range of electromagnetic waves: radio, optics, Roentgen and so on. It consists of wave localization near a curved reﬂecting surface and is expected for waves of various natures, for instance, for atoms and neutrons. For matter waves, it would include a new feature: a massive particle would be settled in quantum states, with parameters depending on its mass.
Deeply bound whispering-gallery states are long-living and weakly sensitive to surface potential; highly excited states are short-living and very sensitive to