An efficient method based on FIR filtering and fourier transform for solving the eigen-problems in optoelectronic devices

This paper presents a highly efficient method based on finite impulse response filtering and Fourier transform techniques to solve the eigen-problems, especially with smoothly varying inhomogeneous-core, such as solving optical eigen modes in graded-index optical waveguides and electronic eigen states in intermixed quantum wells. This type of structure is normally less efficient to be dealt with in space domain directly, but bears with a narrow spectrum in spatial frequency domain. Simulation examples show that the computation cost of the proposed method is approximately at least one order of magnitude smaller than that of the conventional finite difference method solved by the most efficient multiple relatively robust representations method.