Theoretical beam splitting characteristics of double-layer rectangular phas
e gratings (DLRPGs) are reported. Computer simulation shows that these DLRP
Gs not only can be used as common beam splitters with higher than 89% diffr
action efficiencies and 95% energy distribution uniformities but also exhib
it novel splitting properties; one DLRPG can generate a series of beam numb
ers with 70% diffraction efficiencies by changing in real time the incident
angles of a reading beam. This means that a single beam splitter can opera
te as several common beam splitters.