2016/10/12 by Mohamed Ismail, Ismail, Mohamed, Boris Gralak +1
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Geophysics and Sensor Technology #Optics (physics.optics) #Quantum and Classical Electrodynamics #Quantum optics and atomic interactions
paper · pdf · doi:10.48550/arxiv.1610.03639
openalex publication_date 2016/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A method is proposed for the analysis of the propagation of electromagnetic waves through a homogeneous slab of a medium with Drude-Lorentz dispersion behavior, and excited by a causal sinusoidal source. An expression of the time dependent field, free from branch-cuts in the plane of complex frequencies, is established. This method provides the complete temporal response in both the steady-state and transient regimes in terms of discrete poles contributions. The Sommerfeld and Brillouin precursors are retrieved and the corresponding set of poles are identified. In addition, the contribution in the transient field of the resonance frequency in the Drude-Lorentz model is exhybited, and the effect of reflections resulting from the refractive index mismatch at the interfaces of the slab are analyzed.