This paper presents work being done on the optical design and analysis of the beam combiner for the Millimeter-Wave Bolometric Interferometer (MBI), a ground based instrument designed to measure the polarization anisotropies of the CosmicMicrowave Background at a central frequency of 90GHz. Interferometry has never before been used to carry out such measurements at this frequency, nor using incoherent bolometers as detectors. MBI will therefore act as a prototype for this type of system and must be modeled in detail to ensure that its operation is fully understood.