T. Nakayama et al., STRONG LOCALIZATION OF PHOTONS IN APERIODIC OPTICAL WAVE-GUIDES - A NUMERICAL REALIZATION, Physical review. B, Condensed matter, 47(15), 1993, pp. 9249-9252
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.