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We introduce a publicly available full-sky beam convolution code libraryintended to inform the design of future cosmic microwave background (CMB)instruments and help current experiments probe potential systematic effects.The code can be used to assess the impact of optical systematics on all stagesof data reduction for a realistic experiment, including analyses beyond powerspectrum estimation, by generating signal timelines that may serve as input tofull analysis pipelines. The design and mathematical framework of the Pythoncode is discussed along with a few simple benchmarking results. We present asimple two-lens refracting telescope design and use it together with the codeto simulate a year-long dataset for 400 detectors scanning the sky on asatellite instrument. The simulation results identify a number of sub-leadingoptical non-idealities and demonstrate significant B-mode residuals caused byextended sidelobes that are sensitive to polarized radiation from the Galaxy.For the proposed design and satellite scanning strategy, we show that a fullphysical optics beam model generates B-mode systematics that differsignificantly from the simpler elliptical Gaussian model. The code is availableat https://github.com/adrijd/beamconv

Full-sky beam convolution for cosmic microwave background applications