A lamp is provided with an axially and radially graded structure to reduce the possibility of thermal stresses, cracks, and other defects in the lamp. In one embodiment, a system includes a ceramic lamp having a ceramic arc envelope and an end structure coupled to the ceramic arc envelope, wherein the end structure is graded both axially and radially into a plurality of regions. In another embodiment, a system includes a lamp having a layered end structure with a plurality of layers disposed one over another and that extend in both axial and radial directions relative to an axis of the lamp, wherein the plurality of layers include different materials having different coefficients of thermal expansion, Poisson's ratios, or elastic moduli, or a combination thereof,.