The invention relates to embodiments of high-resolution time-of-flight (TOF) mass spectrometers with special reflectors. The invention provides reflectors with ideal energy and solid angle focusing, based on Cassini ion traps, and proposes that a section of the flight path of the TOF mass spectrometers takes the form of a Cassini reflector. It is particularly favorable to make the ions fly through this Cassini reflector in a TOF mass spectrometer at relatively low energies, with kinetic energies of below one or two kiloelectronvolts. This results in a long, mass-dispersive passage time in addition to the time of flight of the other flight paths, without increasing the energy spread, angular spread or temporal distribution width of ions of the same mass. It is also possible to place several Cassini reflectors in series in order to extend the mass-dispersive time of flight. Several TOF mass spectrometers for axial as well as orthogonal ion injection with Cassini reflectors are presented.