ABSTRACT
This chapter describes a nonimaging optics design method known in the field as the simultaneous multiple surface (SMS) or the Minano–Benitez design method. The abbreviation SMS comes from the fact that it enables the simultaneous design of multiple optical surfaces. The first generalization to three-dimensional (3-D) geometry came from Benítez. It was then much further developed by contributions of Miñano and Benítez. Refractions in the Minano–Benitez design method are identified as R. The lenses are then RR devices because light going through them undergoes two refractions. The RR lens presented earlier has two refractive surfaces. Other types of SMS optics can also be calculated using the Minano–Benitez design method. The SMS design method can also be extended to 3-D geometry. One possibility to design an SMS two-dimensional optic is to start with a thin edge. These designs can be extended to 3-D geometry.
