A.R. Senoudi ¹, F. Lallam ¹, A. Boussaid ¹, M. Benhamou ^2,3

¹ Physics Department, Faculty of Sciences

Abou Bakr Belkaid University, Tlemcen, P.O. 119, Algeria

² LPPPC, Physics Department

Faculty of Sciences Ben M’sik, P.O. 7955, Casablanca, Morocco

³ Moulay Ismail University, Meknes, Morocco

Abstract. In this work, use is made of finite element method for the calculation of effects of polymer coating on the plasmonic resonances of the gold nanospheres. Several plasmonics structures have dimensions much smaller than the wavelength of the incident light. Under these conditions, retardation effects are negligible and the field distribution problem then reduces to solve Laplace’s equation. A simple scheme based on the finite element method is developed, which allows us to compute the optical properties, such as the effective dielectric function and absorption cross section of metallic nanoparticles, embedded in dielectric matrix. Finally, the obtained results are compared to those obtained using the theoretical Maxwell-Garnett model.

Key words: Gold nanospheres, polymeric shell, optical properties, finite element method.