A FEM Enhanced Transfer Matrix Method for Optical Grating Design

Abstract

A method to design gratings in integrated photonics, is presented. The method is based on a transfer matrix formalism enhanced by Finite Element Method (FEM) parameter calculations. The main advantages of the proposed technique are the easy of use, the fast optimization time and the versatility of the approach. Few examples of optimized gratings to obtain various scattered light field profiles for different applications are presented: a double-Gaussian profile, a flat top square profile, a spot profile on a chip surface, profiles suited to get efficient and selective coupling to single mode and multimode fibers. A discussion of the limits of the method and some insights on how to improve it are also discussed.

Optimal design of electrical power distribution grid spacers using finite element method

“…FEM has been applied to structure optimization for various applications [41]. These applications are directly related to improvement in equipment design [42][43][44], considering that through the finite element method it is possible to carry out evaluations of force distribution, temperature, and stress in complex structures [45]. Applications of this approach extend to high voltage power systems [46], using FEM makes it possible to assess process deterioration in electrical systems [47].…”