An optical system, comprising: a display configured to display video; a controller configured to direct a video signal to the display to be displayed on the display; a near-eye waveguide configured to operably guide light toward a human eye; and a projection lens having a positive total refractive power and configured to direct light in a light ray bundle from a display into a near-eye waveguide, the projection lens having an optical axis, OA, that corresponds to a center of the light ray bundle, the projection lens comprising: a right-angle prism positioned along the optical axis adjacent the display, the right-angle prism configured to angularly divert the optical axis by ninety degrees, a first lens element positioned along the optical axis, the first lens element having a convex spherical first incident surface facing the display and a convex spherical first exiting surface facing away from the display; a second lens element positioned along the optical axis, the second lens element having a convex spherical second incident surface facing the first lens element and a concave spherical second exiting surface facing away from the first lens element; a third lens element positioned along the optical axis, the third lens element having a concave spherical third incident surface facing the second lens element and a concave spherical third exiting surface facing away from the second lens element; a fourth lens element positioned along the optical axis, the fourth lens element having a convex spherical or planar fourth incident surface facing the third lens element and a convex spherical fourth exiting surface facing away from the third lens element; an achromatic prism positioned along the optical axis between the fourth lens element and the near-eye waveguide, wherein the first incident surface, the first exiting surface, the second incident surface, the second exiting surface, the third incident surface, the third exiting surface, and the fourth exiting surface have centers that are collinear along the optical axis. a display configured to display video; a controller configured to direct a video signal to the display to be displayed on the display; a near-eye waveguide configured to operably guide light toward a human eye; and a projection lens having a positive total refractive power and configured to direct light in a light ray bundle from a display into a near-eye waveguide, the projection lens having an optical axis, OA, that corresponds to a center of the light ray bundle, the projection lens comprising: a right-angle prism positioned along the optical axis adjacent the display, the right-angle prism configured to angularly divert the optical axis by ninety degrees, a first lens element positioned along the optical axis, the first lens element having a convex spherical first incident surface facing the display and a convex spherical first exiting surface facing away from the display; a second lens element positioned along the optical axis, the second lens element having a convex spherical second incident surface facing the first lens element and a concave spherical second exiting surface facing away from the first lens element; a third lens element positioned along the optical axis, the third lens element having a concave spherical third incident surface facing the second lens element and a concave spherical third exiting surface facing away from the second lens element; a fourth lens element positioned along the optical axis, the fourth lens element having a convex spherical or planar fourth incident surface facing the third lens element and a convex spherical fourth exiting surface facing away from the third lens element; an achromatic prism positioned along the optical axis between the fourth lens element and the near-eye waveguide, a right-angle prism positioned along the optical axis adjacent the display, the right-angle prism configured to angularly divert the optical axis by ninety degrees, a first lens element positioned along the optical axis, the first lens element having a convex spherical first incident surface facing the display and a convex spherical first exiting surface facing away from the display; a second lens element positioned along the optical axis, the second lens element having a convex spherical second incident surface facing the first lens element and a concave spherical second exiting surface facing away from the first lens element; a third lens element positioned along the optical axis, the third lens element having a concave spherical third incident surface facing the second lens element and a concave spherical third exiting surface facing away from the second lens element; a fourth lens element positioned along the optical axis, the fourth lens element having a convex spherical or planar fourth incident surface facing the third lens element and a convex spherical fourth exiting surface facing away from the third lens element; an achromatic prism positioned along the optical axis between the fourth lens element and the near-eye waveguide, wherein the first incident surface, the first exiting surface, the second incident surface, the second exiting surface, the third incident surface, the third exiting surface, and the fourth exiting surface have centers that are collinear along the optical axis.