The lobster-eye telescope with square cross-section channels has been suggested as a possible candidate for a wide-field-of-view x-ray all-sky monitor. However, due to the difficult construction, especially with metals, variations of lobster-eye lenses have been proposed as possible alternatives. This work is a computational comparison of the focal properties of one variant, the meridional lens, with the square-channel lens. For both types of lens, the efficiency of focusing for imaged photons as well as the point-spread function in one dimension is studied for collimated sources.