An on-chip FTS consists of two waveguides coupled to long superconducting transmission lines (STLs) (∼ 620 mm) using two coupling probes. The signal propagating on one of the STLs is phase-shifted with respect to the other line with a bias current that affects the nonlinear dependence of kinetic inductance, L k (I) of the STL material. Here we describe the design and simulation of a superconducting on-chip FTS coupled to a dual polarization W-band (90-110 GHz) waveguide. These devices have applications in ground-based and space-based millimeter-wave spectral surveys.