Comparators are instruments used to measure small differences between unknown dimensions and a standard length. They work by detecting and amplifying displacements of a sensing probe. There are different types of comparators classified by their amplification method, including mechanical, optical, pneumatic, and electrical. Mechanical comparators like the reed comparator amplify motions through a system of linked reeds and pointers. The sigma comparator uses flat steel springs and a hinged assembly to provide frictionless movement and amplification of the measuring contact. While robust, mechanical comparators have limitations due to friction and wear in their moving parts.