Affiliation:
1. Walter Schottky Institut Department of Electrical and Computer Engineering MCQST Technische Universität München 85748 Garching Germany
2. Walter Schottky Institut Physics Department School of Natural Sciences MCQST Technische Universität München 85748 Garching Germany
Abstract
AbstractRadial Bragg gratings are commonly used to enhance light extraction from quantum emitters, but lack a well‐suited, fast simulation method for optimization beyond periodic designs. To overcome this limitation, an algorithm based on the transfer matrix model (TMM) to calculate the free‐space emission of such gratings is proposed and demonstrated. Using finite difference time domain (FDTD) simulations, free‐space emission, and transfer matrices of single grating components are characterized. The TMM then combines any number of components to receive the total emission. Randomized benchmarks verify that results from this method agree within 98% with FDTD while reducing simulation time by one to two orders of magnitude. The speed advantage of this approach is shown by maximizing emission of a fifteen‐trench circular grating into a Gaussian mode. It is expected that this novel algorithm will facilitate the optimization of radial gratings, enabling quantum light sources with unprecedented collection efficiencies.
Funder
Bundesministerium für Bildung und Forschung
Horizon 2020 Framework Programme
Deutsche Forschungsgemeinschaft
Bayerisches Staatsministerium für Wissenschaft und Kunst
Subject
Electrical and Electronic Engineering,Computational Theory and Mathematics,Condensed Matter Physics,Mathematical Physics,Nuclear and High Energy Physics,Electronic, Optical and Magnetic Materials,Statistical and Nonlinear Physics