Solution of the wave equation for an oscillating punctual source by means of the finite elements method

Marco Marín-Suárez

doi:10.1117/12.2229147

27 April 2016 Solution of the wave equation for an oscillating punctual source by means of the finite elements method

Marco Marín-Suárez

Proceedings Volume 9889, Optical Modelling and Design IV; 98890B (2016) https://doi.org/10.1117/12.2229147
Event: SPIE Photonics Europe, 2016, Brussels, Belgium

Abstract

Finite Elements Method (FEM) and Finite Difference Method (FDM) in the Euler implicit approach, were used in order to determine the bi-dimensional electromagnetic field. of an oscillating punctual source inside a square geometry with three reflective boundaries and an absorbing one. Although the main approach consist in solving the wave equation for the electric field., it was decided to use the approach of electromagnetic potentials V and A because those potentials give a simpler solution for both, the electric and magnetic field. Besides, a comparison with theory was made, solving for an electromagnetic field without boundaries produced by an oscillating punctual source.

Citation Download Citation

Marco Marín-Suárez "Solution of the wave equation for an oscillating punctual source by means of the finite elements method", Proc. SPIE 9889, Optical Modelling and Design IV, 98890B (27 April 2016); https://doi.org/10.1117/12.2229147

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