hp-finite-elements for simulating electromagnetic fields in optical devices with rough textures

TL;DR

This paper presents an hp-adaptive finite-element method on tetrahedral meshes for accurately simulating electromagnetic fields in nano-optical devices with rough textures, enabling efficient and precise computations.

Contribution

It introduces an hp-adaptive finite-element approach tailored for complex nano-optical geometries with rough textures, improving accuracy and computational efficiency.

Findings

Convergence to highly accurate electromagnetic field solutions.

Efficient handling of meshes with strong size variations.

Precise geometry resolution of rough textures.

Abstract

The finite-element method is a preferred numerical method when electromagnetic fields at high accuracy are to be computed in nano-optics design. Here, we demonstrate a finite-element method using hp-adaptivity on tetrahedral meshes for computation of electromagnetic fields in a device with rough textures. The method allows for efficient computations on meshes with strong variations in element sizes. This enables to use precise geometry resolution of the rough textures. Convergence to highly accurate results is observed.