A division-of-amplitude photopolarimeter that uses a parallel-slab multiple-reflection beam splitter was described recently ͓Opt. Lett. 21, 1709 ͑1996͔͒. We provide a general analysis and an optimization of a specific design that uses a fused-silica slab that is uniformly coated with a transparent thin film of ZnS on the front surface and with an opaque Ag or Au reflecting layer on the back. Multiple internal reflections within the slab give rise to a set of parallel, equispaced, reflected beams numbered 0, 1, 2, and 3 that are intercepted by photodetectors D 0 , D 1 , D 2 , and D 3 , respectively, to produce output electrical signals i 0 , i 1 , i 2 , and i 3 , respectively. The instrument matrix A, which relates the output-signal vector I to the input Stokes vector S by I ϭ AS, and its determinant D are analyzed. The instrument matrix A is nonsingular; hence all four Stokes parameters can be measured simultaneously over a broad spectral range ͑UV-VIS-IR͒. The optimum film thickness, the optimum angle of incidence, and the effect of light-beam deviation on the measured input Stokes parameters are considered.