Optical systems have uses, such as in spectrometers, for directing a beam. A spectrometer, for example, utilizes an optical system for directing an incident beam toward a sample and receiving a spectroscopy signal from the sample. In various implementations, for example, an optical system may be further configured to move a beam with respect to a target, such as a sample, and still provide a home position where the beam is directed in a stationary configuration. A self-homing (e.g., self-centering) optical system may provide a “home” position in which the beam is directed in a first stationary mode while still allowing a focused beam to be moved with respect to a target in a second dynamic mode.