A comparison between unidimensional, circular and spherical photonic crystal stacks

One dimensional (1D), circular (2D) and spherical (3D) stacks have occupied quite an important place in Optics, Electronics and Solid State Physics on their own, that keeps growing with the development of Photonics. In particular Bragg and Photonic structures have found an application as Bragg fibers, microresonator, quantum dots like and many others structures; everything made feasible by the modern nanofabrication and others fabrication techniques. Their structural complexity still relies heavily on numerical simulation, with the exception of a few accessible cases. Among them, we study the scaling of a Bragg resonance (1/4 λ) stack from one-dimensional to circular and spherical structures, from the point of view of their photonic band gap. The similitude with the well known linear multilayer method is discussed.