STRONG LOCALIZATION OF PHOTONS IN APERIODIC OPTICAL WAVE-GUIDES - A NUMERICAL REALIZATION

Numerical demonstrations of the strong localization of light are prese nted by illustrating aperiodic two-dimensional waveguides. For this pu rpose, the correspondence between the discretized form of the wave equ ation for light and the vibrational equation of motion for lattice dyn amics is discussed in a general form. We emphasize that this mapping i s useful not only to gain insight into the nature of the strong locali zation of light, but also to perform large-scale simulations on this p henomenon by employing an accurate numerical technique. The results wi ll serve as a useful guide for the modeling and design of optical wave guides in which one can observe the strong localization of light.