Abstract
Elementary long-range plasmon modes are described assuming an exponential dependence of the refractive index in the neighbourhood of the interface dielectric-metal thin film. The study is performed using coupling mode theory. The interference between two long-range plasmon modes generated that way allows the synthesis of surface sinusoidal plasmon modes, which can be considered as completely coherent generalized plasmon modes. These sinusoidal plasmon modes are used for the synthesis of new partially coherent surface plasmon modes, which are obtained by means of an incoherent superposition of sinusoidal plasmon modes where the period of each one is considered as a random variable. The kinds of surface modes generated have an easily tuneable profile controlled by means of the probability density function associated to the period. We show that partially coherent plasmon modes have the remarkable property to control the length of propagation which is a notable feature respect to the completely coherent surface plasmon mode. The numerical simulation for sinusoidal, Bessel, Gaussian and Dark Hollow plasmon modes are presented
Highlights
Elementary surface plasmon modes [1], are non‐ homogeneous electromagnetic waves propagating on the interface of a dielectric‐metal media
By proposing a decreasing exponential representation for the refractive index in the neighbourhood of a dielectric‐ conducting media, and using coupling mode theory we found a new expression for the dispersion relation function that allows the synthesis of long‐range plasmon modes
The sinusoidal plasmon modes were implemented to generate a new variety of modes, by considering the spatial period as a random process
Summary
Instituto Nacional de Astrofisica, Optica y Electronica, INAOE, Departamento de Optica, Grupo de Optica Estadistica, Apdo. 51 y 216, C. Instituto Nacional de Astrofisica, Optica y Electronica, INAOE, Departamento de Optica, Grupo de Optica Estadistica, Apdo. P. 72000, Puebla, Mexico Instituto Nacional de Astrofisica, Optica y Electronica, INAOE, Departamento de Optica, Grupo de Optica Estadistica, Apdo. The interference between two longrange plasmon modes generated that way allows the synthesis of surface sinusoidal plasmon modes, which can be considered as completely coherent generalized plasmon modes. These sinusoidal plasmon modes are used for the synthesis of new partially coherent surface plasmon modes, which are obtained by means of an incoherent superposition of sinusoidal plasmon modes where the period of each one is considered as a random variable.
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