A delay line interferometer is configured with a liquid-crystal (LC) tuning element as a phase modulator for demodulating a phase-modulated input signal. The LC tuning element allows for quickly tuning the phase difference between two optical signals separated from the phase-modulated input signal, so that the two optical signals can be coherently recombined to interfere with each other and produce one or more intensity-modulated optical signals. In some embodiments, the LC tuning element is configured to reduce polarization-dependent frequency shift without the use of additional high-precision optical elements and/or coatings.