Open Accessk-domain method for the fast calculation of electromagnetic fields propagating in graded-index media
Author(s) -
Huiying Zhong,
Site Zhang,
Olga Baladron-Zorita,
Rui Shi,
Christian Hellmann,
Frank Wyrowski
Publication year - 2020
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.388376
Subject(s) - paraxial approximation , fourier transform , scalar (mathematics) , electromagnetic field , finite difference time domain method , ode , physics , maxwell's equations , convolution (computer science) , mathematical analysis , beam propagation method , ordinary differential equation , optics , mathematics , differential equation , refractive index , beam (structure) , computer science , geometry , quantum mechanics , machine learning , artificial neural network
A conceptually straightforward method for the fast calculation of electromagnetic fields propagating in graded-index media is presented. More specifically, in this method, we convert Maxwell's curl equations into the spatial-frequency domain to obtain an ordinary differential equation (ODE), and subsequently solve the ODE with the 4 th -order Runge-Kutta method. Compared to the traditional beam propagation methods, this method deals with vectorial fields accurately, without physical approximations, like the scalar field approximation or the paraxial approximation; numerically, this method takes advantage of the fast Fourier transform and the convolution theorem to achieve an efficient calculation.