Analyzing 1D Photonic Crystals (Bragg Gratings) Introduction

The simplest photonic crystal consists of alternating layers of material with different

dielectric constants. Such multilayer structures have been widely studied and are frequently referred to as Bragg gratings.

In this tutorial we design simple Bragg Grating that consists of alternating layers with permittivity contrast 1/13 as discussed and analyzed in [1]. We will show how to use PWE band solver to analyze cases of both normal and oblique incidence, while pointing out other features of the software, namely output normalization and inversion symmetry.

The tutorial is structured as follows:

1          Define the Lattice Structure

2          PWE Band Solver Parameters

3          Run Simulation and View Results

4          Bragg grating with layers of different width

5          Off-axis propagation