Abstract: The disclosed system may include (1) a conductive coil, where at least a portion of the coil is oriented along a first direction and orthogonal to a second direction, (2) a magnetic field generation structure that generates a magnetic field through the coil along a third direction orthogonal to the first and second directions, (3) a force constant compensator that (a) receives a current command to alter a relative location of the coil and the field, and (b) adjusts the current command based on at least one physical characteristic of the system that affects a relationship between current in the coil and resulting force between the coil and the field along the second direction, and (4) a coil driver that generates, in response to the adjusted current command, a first current in the coil to generate a force between the coil and the field. Other embodiments are also disclosed.

Abstract: The disclosed apparatus may include (1) a subassembly that includes (a) a plurality of conductive coils, where the coils are arranged into first and second rows that are aligned as adjacent layers along a first direction, and where the rows are offset along the first direction such that two portions of each of the coils are arranged along the first direction without overlapping and each of the two portions of each coil is aligned in parallel along a second direction orthogonal to the first direction, and (b) a body that holds the coils, (2) a structure that generates a magnetic field through the portions of the coils, where the magnetic field is directed along a third direction orthogonal to the first and second directions, and (3) a coil driver circuit that supplies current to at least some of the coils to move the structure relative to the subassembly, or vice-versa, along the first direction. Various other embodiments are also disclosed.