Theory of polarizing beam splitter based on pendulum effect in volume holographic grating

A Polarizing beam splitter (PBS) based on pendulum effect in volume holographic grating (VBG) is proposed. Using the modified coupled-wave equations of Kogelnik, expressions of transmitted and diffracted intensities are derived when a polarized femtosecond pulse incidents on a VHG. Simulation results show that the intensities of the transmitted and diffracted pulses are periodic oscillation and exchange along the propagation depth, and this property is pendulum effect. Period of the pendulum effect is sensitive to polarization state of the incident pulse. By suitably using this property, it is possible to realize a PBS where the incident TE polarization outputs in transmitted direction of the VHG and TM component outputs in diffracted direction.