Rayleigh–Ritz based expansion method for wakefields in dielectrically lined rectangular waveguides

Reimann, Franziska; Michel, P.; Lehnert, U.; Rienen, Ursula van

doi:10.1016/j.jcp.2018.06.004

Cited by 3 publications

(2 citation statements)

References 8 publications

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“…Recent developments have provided various analyses of the distribution of electric and magnetic fields, which are better than previous methods. Some examples include MHD analysis of LLCB TBM [8], hybrid techniques combining ray tracing and FDTD methods [9], and expansion methods based on Rayleigh-Ritz [10].…”

Section: Introductionmentioning

confidence: 99%

The Results Comparison of Numerical and Analytical Methods for Electric Potential on Rectangular Pipes

Maulana,

Rizaldi,

Bustomi

2023

J. Phys.: Conf. Ser.

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Two methods can be used to solve the problem of electric potential distribution in a rectangular pipe: numerical and analytical. The analytical solution is obtained using the Laplace equation and the given boundary conditions to complete the solution in the form of a linear combination of sinusoidal and hyperbolic functions. While the numerical solution is obtained using the finite difference method in the Python programming language. The comparison between the analytical and numerical solutions shows that the two have a good fit. This can be seen from the graph of the electric potential distribution in the rectangular pipe produced by the two methods. Numerical solutions obtained using the finite difference method in the Python programming language provide accurate and efficient results in solving the problem of the electric potential distribution in rectangular pipes. The use of the first four terms in the analytical method and the selection of 4 observation points on the pipe, namely points A (3.33, 1.67), B (3.33, 3.34), C (6.67, 1.67), and D (6.67, 3.34) produces a difference in the electric potential value between analytical and numerical methods each point is 35.91%, 51.96%, 51.96%, and 35.91%. The value difference between analytical and numerical methods will be smaller if more terms are taken in the analytical calculation, and more observation points are considered on the pipe.

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Section: Introductionmentioning

confidence: 99%

The Results Comparison of Numerical and Analytical Methods for Electric Potential on Rectangular Pipes

Maulana,

Rizaldi,

Bustomi

2023

J. Phys.: Conf. Ser.

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“…A review of a large number of tasks, whose effective solution is made possible by the introduction of impedance boundary conditions, is given in [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Modeling of the Electromagnetic Field of a Rectangular Waveguide With Side Holes

Islamov¹,

Ismibayli²,

Gaziyev³

et al. 2019

PIER Letters

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Modeling of Microwave Waveguide Systems of Complex Structure in Nonlinear Media in a Mobile Computer System

Islamov

2023

Radio Engineering and Telecommunications Waveguide Systems in the Microwave Range

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Rayleigh–Ritz based expansion method for wakefields in dielectrically lined rectangular waveguides

Cited by 3 publications

References 8 publications

The Results Comparison of Numerical and Analytical Methods for Electric Potential on Rectangular Pipes

The Results Comparison of Numerical and Analytical Methods for Electric Potential on Rectangular Pipes

Modeling of the Electromagnetic Field of a Rectangular Waveguide With Side Holes

Modeling of Microwave Waveguide Systems of Complex Structure in Nonlinear Media in a Mobile Computer System

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