# On the Helmholtz’s Equation Model for Light Propagation in the Cornea

### Adérito Araújo, Sílvia Barbeiro, Milene Santos

#### 2022

#### Abstract

To model the incidence and reflection of light in the cornea we can use Maxwell’s equations, which describe the electromagnetic wave’s propagation field. In this paper we will focus on Maxwell’s equations in the time harmonic form which translates in the Helmholtz’s equation. We propose a numerical method based on nodal discontinuous Galerkin methods combined with a strategy which is specially designed to deal with curved domains which arise naturally in our domain of interest for the application.

Download#### Paper Citation

#### in Harvard Style

Araújo A., Barbeiro S. and Santos M. (2022). **On the Helmholtz’s Equation Model for Light Propagation in the Cornea**. In *Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Volume 1: Imaging4OND,* ISBN 978-989-758-563-0, pages 265-268. DOI: 10.5220/0011126000003209

#### in Bibtex Style

@conference{imaging4ond22,

author={Adérito Araújo and Sílvia Barbeiro and Milene Santos},

title={On the Helmholtz’s Equation Model for Light Propagation in the Cornea},

booktitle={Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Volume 1: Imaging4OND,},

year={2022},

pages={265-268},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0011126000003209},

isbn={978-989-758-563-0},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Volume 1: Imaging4OND,

TI - On the Helmholtz’s Equation Model for Light Propagation in the Cornea

SN - 978-989-758-563-0

AU - Araújo A.

AU - Barbeiro S.

AU - Santos M.

PY - 2022

SP - 265

EP - 268

DO - 10.5220/0011126000003209