Wave Propagation in One Dimension: Methods and Applications to Complex and Fractal Structures
Wave Propagation in One Dimension: Methods and Applications to Complex and Fractal Structures
This chapter is a pedagogical review of methods and resultsfor studying wave propagation in one-dimensional (1D), complexstructures. We describe and compare the tight-binding, scatteringmatrix (S-matrix), transfer matrix, and Riccati formalisms. We present examples for transport through finite-sized, layered dielec-tric systems with periodic, quasi-periodic, fractal, disordered, andrandom structures, illustrating how a …