Interior design in the Turkish style does not always have to be rich, overflowing with additives. The newest fashion are arrangements in a more minimalist style with additives stylized on Turkey. If you do not know how they looks like, you can see some designs in companies that offers interior 3D visualisation. London is a place where you can find many of such companies.
Domes are undoubtedly part of the Turkish and Arabic architecture. They are also ubiquitous in the interiors. Modern arrangements in the Turkish styling feature just extras in the form of domes. Often these additives are made of glass and fit well with modern interiors and minimalist.