On the Green's function for the Helmholtz operator in an impedance circular cylindrical waveguide

DOI10.1016/j.cam.2010.05.053zbMath1201.78016OpenAlexW2064797406MaRDI QIDQ711246

Mario Durán, Carlos Pérez-Arancibia

Publication date: 25 October 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.2010.05.053

zbMATH Keywords

Green's functionHelmholtz equationimpedance boundary conditioncylindrical waveguide

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Waves and radiation in optics and electromagnetic theory (78A40) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (7)

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Uses Software

• RFSFNS
• ELF
• GNOME
• BRENT

Cites Work

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• Wave propagation in a bifurcated impedance-lined cylindrical waveguide
• Ordering relations between the zeros of miscellaneous bessel functions
• A Numerical Method for Locating the Zeros of an Analytic Function
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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