The high sag thick lens is for use in an illumination apparatus, such as a solid state light source. The lens is made of a first lens part having an optical active surface and a series of elongated baffles, the baffles having a top portion, the top portions defining a line that follows the curvature of the optical active surface to create a second lens part of uniform thickness. A second lens part is fused to the first lens part to create the lens. The second lens part has an optical active surface and a series of elongated baffles, the baffles having a thickness comparable to the thickness of the corresponding optical active surfaces. The first and the second baffles are intertwined along the entire length of their lateral surfaces.