Multimodal admittance method in waveguides and singularity behavior at high frequencies

DOI10.1016/J.CAM.2009.08.034zbMath1192.78027OpenAlexW2091677917MaRDI QIDQ975660

V. Pagneux

Publication date: 10 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.034

zbMATH Keywords

singularitiesRiccati equationwaveguidestrapped modesmagnus method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (3)

Bremmer series for the multimodal sound propagation in inhomogeneous waveguides ⋮ Improved multimodal methods for the acoustic propagation in waveguides with finite wall impedance ⋮ Resonances of three transverse standing-wave modes in a waveguide with periodic wall undulations

Cites Work

• Embedded trapped modes in water waves and acoustics
• On the implementation of the method of Magnus series for linear differential equations
• One-way large range step methods for Helmholtz waveguides
• A fourth-order Magnus scheme for Helmholtz equation
• Trapped modes for off-centre structures in guides
• Multimodal analysis of acoustic propagation in three-dimensional bends
• Lamb wave propagation in elastic waveguides with variable thickness
• On the solution of linear differential equations in Lie groups
• A Natural Approach to the Numerical Integration of Riccati Differential Equations
• Existence theorems for trapped modes
• Complex resonances in acoustic waveguides
• Lamb wave propagation in inhomogeneous elastic waveguides

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