Noise control from dual air cavity membranes in a rigid waveguide

Cold plasma-induced effects on electromagnetic wave scattering in waveguides: a mode-matching analysis

“…Upon solving equation (5), subject to equation (6) with the separation of the variable technique, the eigenfunction expansion formation can be achieved as:…”

“…Analytical mode-matching methods are found to be useful for analysis of the energy propagation in a waveguide. The technique has recently been advanced in various directions to investigate the scattering behavior of acoustic waves at structural discontinuities: for instance, see [5][6][7][8][9][10]. The transfer of electromagnetic energy using plasma waveguides has always been an interest of researchers [11][12][13][14][15].…”

Modeling and analysis of scattering in trifurcated guided waves with hard and flexible outer surfaces: A mathematical study

“…In the context of structural difficulties, the phrases "clamped," "pivoted," and "pin-jointed" are frequently used to characterise various sorts of boundary conditions. These conditions explain how a specific structure is either supported or constrained at the edge and can be viewed in many related studies [21,22,[24][25][26]. Moreover in order to ensure matching of pressure and velocity at the junction, we impose the following conditions…”

“…In the context of structural difficulties, the phrases “clamped,” “pivoted,” and “pin‐jointed” are frequently used to characterise various sorts of boundary conditions. These conditions explain how a specific structure is either supported or constrained at the edge and can be viewed in many related studies [21, 22, 24–26]. Moreover in order to ensure matching of pressure and velocity at the junction, we impose the following conditions $$$$\begin{equation} {\left.$$…”