Two double-focusing magnetic specrometers will be used to momentum analyze the electron beam produced by the l'OASIS laser plasma wakefield accelerator. One spectrometer, based on a round pole magnet, has an operating range up to 50 MeV/c, with a resolution in the 1 - 2 percent range. The other spectrometer, based on a wedge dipole magnet, has better resolution (about 0.5 percent) but an operating range limited to below 18 MeV/c. This note describes the optical design of the spectrometers, and provides detailed estimates of performance features such as dynamic range, operating range, calibration, resolution, acceptance, and aberrations.