A compact polarization beam splitter is formed by cascading two stages of directional couplers each containing two waveguides laid in parallel with a coupling gap. Each waveguide is made by silicon nitride material having a minimum length configured to be comparable with a coupling length for a TE polarization mode being set as twice of a coupling length for a TM polarization mode. A first-stage direction coupler is optimized by making the coupling gap smaller/greater than a nominal value to maximize TE/TM extinction ratio at least for a shorter/longer wavelength window of a designated wavelength band and each of two second-stage directional couplers is optimized by making the coupling gap greater/smaller than the nominal value to maximize TE/TM extinction ratio at least for a complementary longer/shorter wavelength window of the same designated wavelength band.