Next generation linear colliders and light sources using linear accelerators require an electron bunch to be accelerated on a precise phase of the radio frequency (RF). This enables the bunch to acquire an energy position correlation and be compressed to sub-picosecond lengths when run through a chicane. The stability of the RF system is required to be about 100 femtoseconds after long haul distribution. This project will develop a low level signal multiplier, with improved phase and temperature stability, to improve the beam focus and the resolution of the system. In Phase I, various multiplier topologies will be developed and studied for inherent phase noise and drift caused by electrical and thermal effects. To stabilize the multipliers over temperature, new high performance oven designs will be analyzed. Two prototype units will be built, tested, and delivered to the Stanford Linear Accelerator Center (SLAC). Commercial Applications and Other Benefits as described by awardee: High phase stability multipliers should offer improvements in high energy research, imaging for material sciences and biosciences, and cancer research. They also should advance the state-of-the-art in radio telescope millimeter interferometry