Theory of light propagation in arbitrary two-dimensional curved space

As an analog model of general relativity, optics on some two-dimensional (2D) curved surfaces has received increasing attention in the past decade. Here, light Huygens–Fresnel principle, we propose a theoretical frame to study propagation along arbitrary geodesics any 2D surfaces. This theory not only enables us solve enigma “infinite intensity” that existed previously at artificial singularities revolution but also makes it possible Based this theory, investigate effects typical surface revolution, Flamm’s paraboloid, as example, from which one can understand behavior geometry Schwarzschild black holes. Our provides convenient and powerful tool for investigations radiation space.