Marco Nizama, Esteban E. Riquelme, Sergio E. Garrido, Fabian Braschi, Manuel O. Cáceres
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引用次数: 0
Abstract
We have studied the transmission of a wave packet through finite discontinuous media with dissipation using analytical methods. The focus is on the behavior of an electromagnetic pulse moving from air to a finite conducting slab. The wave equation governs the pulse’s evolution in the free medium, while the telegrapher’s equation is applied in the slab. The presence of the Joule effect in the slab affects the wave packet’s propagation. By solving three discontinuous partial differential equations analytically using Fourier representation and the attenuated spatial wave packet formalism, we derive reflection and transmission coefficients as functions of the telegrapher’s equation parameters. Experimental results for the transmission coefficient varying the absorption energy are presented, utilizing a demineralized water tank with different salt concentrations as the slab. The results are consistent with our theoretical model.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.