A FEM enhanced Transfer Matrix method for optical grating design

TL;DR

This paper introduces a novel FEM-enhanced transfer matrix method for designing optical gratings in integrated photonics, offering improved ease of use, speed, and versatility for various light field profiles.

Contribution

The paper presents a new combined FEM and transfer matrix approach that simplifies and accelerates the design of optical gratings with customizable scattering profiles.

Findings

Efficient design of various optical grating profiles demonstrated

Method achieves faster optimization times compared to traditional techniques

Versatile approach applicable to multiple integrated photonics applications

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.