Abstract
We present an improved adaptive mesh process based on Riemannian transformation to control the accuracy in high field gradient representation for diffraction problems. Such an adaptive meshing is applied in representing the electromagnetic intensity around a metallic submicronic spherical particle, which is known to present high gradients in limited zones of space including the interference pattern of the electromagnetic field. We show that, the precision of the field variation being controlled, this improved scheme permits drastically decreasing the computational time as well as the memory requirements by adapting the number and the position of nodes where the electromagnetic field must be computed and represented.
Similar content being viewed by others
References
G. Mie, Ann. Phys. 25, 377 (1908)
D. Barchiesi, D. Van Labeke, J. Mod. Opt. 40, 1239 (1993)
N.M. Mojarad, V. Sandoghdar, M. Agio, J. Opt. Soc. Am. B 25, 651 (2008)
A.B. Stilgoe, T.A. Nieminen, G. Knöener, N.R. Heckenberg, H. Rubintsztein-Dunlop, Opt. Express 16, 15039 (2008)
S. Foteinopoulou, J.P. Vigneron, C. Vandenbem, Opt. Express 15, 4253 (2007)
Y. Hu, R.C. Flemming, R.A. Drezek, Opt. Express 16, 19579 (2008)
T. Grosges, D. Barchiesi, T. Toury, G. Gréhan, Opt. Lett. 33, 2812 (2008)
J.P. Kottmann, O.J.F. Martin, IEEE Trans. Antennas Propag. 48, 1719 (2000)
D. Barchiesi, B. Guizal, T. Grosges, Appl. Phys. B-Lasers Opt. 84, 55 (2006)
D. Barchiesi, E. Kremer, V.P. Mai, T. Grosges, J. Microsc. 229, 525 (2008)
T. Grosges, H. Borouchaki, D. Barchiesi, Opt. Express 15, 1307 (2007)
T. Grosges, H. Borouchaki, D. Barchiesi, J. Microsc. 229, 293 (2008)
P.G. Ciarlet, The Finite Element Method for Elliptic Problem (North Holland, Amsterdam, 1978)
P.L. George, H. Borouchaki, Delaunay Triangulation and Meshing. Applications to Finite Element (Hermès, Paris, 1998)
T. Grosges, S. Petit, D. Barchiesi, S. Hudlet, Opt. Express 12, 5987 (2004)
C.F. Bohren, D.R. Huffman, Absorption and Scattering of Light by Small Particles (Willey, New York, 2003)
P. Laug, H. Borouchaki, BLSURF, Mesh generator for composite parametric surfaces. User’s Manual, INRIA technical report, RT-0235 (1999)
P.L. George, Finite Elem. Anal. Des. 25, 297 (1997)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Grosges, T., Borouchaki, H. & Barchiesi, D. Three dimensional adaptive meshing scheme applied to the control of the spatial representation of complex field pattern in electromagnetics. Appl. Phys. B 101, 883–889 (2010). https://doi.org/10.1007/s00340-010-4155-y
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-010-4155-y