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

Adérito Araújo; Sílvia Barbeiro; Milene Santos

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Paper

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

Topics: Cornea; Light Propagation through Media

In Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Volume 1: Imaging4OND, 265-268, 2022 , Prague, Czech Republic

Authors: Adérito Araújo ¹ ; Sílvia Barbeiro ¹ and Milene Santos ²

Affiliations: ¹ CMUC, Department of Mathematics, University of Coimbra, Portugal ; ² Department of Mathematics, University of Coimbra, Portugal

Keyword(s): Helmholtz’s Equation, Light Propagation, Cornea, Discontinuous Galerkin Method, Curved Domains.

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.

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Paper citation in several formats:

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 - Imaging4OND; ISBN 978-989-758-563-0; ISSN 2795-4943, SciTePress, pages 265-268. DOI: 10.5220/0011126000003209

@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 - Imaging4OND},
year={2022},
pages={265-268},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011126000003209},
isbn={978-989-758-563-0},
issn={2795-4943},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Image Processing and Vision Engineering - Imaging4OND
TI - On the Helmholtz’s Equation Model for Light Propagation in the Cornea
SN - 978-989-758-563-0
IS - 2795-4943
AU - Araújo, A.
AU - Barbeiro, S.
AU - Santos, M.
PY - 2022
SP - 265
EP - 268
DO - 10.5220/0011126000003209
PB - SciTePress