The cosmic microwave background (CMB), relic radiation from the Big Bang, had very faint temperature and polarization fluctuations imprinted on it as a structure formed in the early universe. By mapping the temperature fluctuations (∆T/T ≈ 10−5), cosmologists have learned a great deal. But in order to determine cosmological parameters uniquely and to rigorously test theories of the very early universe, the even fainter polarization fluctuations must be mapped. This demands a significant increase in sensitivity over earlier experiments and an in-depth understanding and control of telescope optics, in particular their effect on polarized signals. In order to maximize the CMB signal against foregrounds such as the atmosphere and galactic emission, most observations are made at frequencies between 0.02 and 0.9THz, which present their own set of unique challenges. Optical design in the terahertz waveband can be challenging and difficult to do with any confidence using techniques developed for visible wavelengths, especially for high-precision applications such as CMB astronomy. The Space Optics Design and Analysis group at the National University of Ireland, Maynooth (NUI Maynooth), specializes in the field of quasi-optical design for astronomical instrumentation.1 Optical design is concerned with the problem of calculating an electromagnetic field over a surface in an optical system when the field, or currents, over some other surface is known. The full solution to Maxwell’s equations is usually extremely difficult to find, and in practice approximations have to be made. Although physical optics (PO) can be used to characterize electromagnetic systems to high accuracy, it is computationally intensive at terahertz frequencies and often Figure 1. A quasi-optical telescope (the QUaD telescope) set up in MODAL. The model includes 31 corrugated conical horns at the focal plane (modeled using electromagnetic mode matching), two lenses, and a Cassegrain telescope. The fundamental Gaussian mode is used for beam visualization.