scholarly journals Electromagnetic Scattering of Inhomogeneous Plane Wave by Ensemble of Cylinders

2020 ◽  
Vol 3 ◽  
pp. 1-7 ◽  
Author(s):  
Lorenzo Dina ◽  
Fabio Mangini ◽  
Fabrizio Frezza
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Circular Cylinders ◽  
The Finite Element Method ◽  
Matlab Code ◽  
Inhomogeneous Plane ◽  
Inhomogeneous Plane Wave ◽  
Cylindrical Harmonics

The interaction between an ensemble of cylinders and an inhomogeneous plane wave is introduced and is determined, in the present paper, through a rigorous theoretical approach. Scattered electromagnetic field generated by an indefinite number of infinite circular cylinders is analyzed by the application of the generalized vector cylinder harmonics (VCH) expansion. The exact mathematical model relied upon to represent this scenario considers the so-called complex-angle formalism reaching a superposition of vectorial cylindrical-harmonics and Foldy-Lax Multiple scattering equations (FLMSE) to account for the multiscattering process between the cylinders. The method was validated by comparing the numerical results obtained with the use of the finite element method and a homemade Matlab code

scholarly journals Electromagnetic Scattering by a Cylinder in a Lossy Medium of an Inhomogeneous Elliptically Polarized Plane Wave

2019 ◽  
Vol 4 (2019) ◽  
pp. 36-42 ◽  
Author(s):  
Fabio Mangini ◽  
Lorenzo Dinia ◽  
Fabrizio Frezza
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Electromagnetic Field ◽  
Plane Wave ◽  
Electromagnetic Scattering ◽  
The Finite Element Method ◽  
Matlab Code ◽  
Lossy Medium ◽  
Elliptically Polarized ◽  
Cylindrical Harmonics

In this paper, a rigorous theoretical approach, adopted in order to generalize the Vectorial CylindricalHarmonics (VCH) expansion of an inhomogeneous elliptically polarized plane wave, is presented. An application of the VCH expansion to analyze electromagnetic field scattered by an infinite circular cylinder is presented. The results are obtained using the so-called complex-angle formalism reaching a superposition of Vectorial Cylindrical-Harmonics. To validate the method, a Matlab code was implemented. Also, the validity of the methodology was confirmed through some comparisons between the proposed method and the numerical results obtained based on the Finite Element Method (FEM) in the canonical scenario with a single cylinder.

scholarly journals Fast inhomogeneous plane wave algorithm for the analysis of electromagnetic scattering

Radio Science ◽  
2001 ◽  
Vol 36 (6) ◽  
pp. 1327-1340 ◽  
Author(s):  
Bin Hu ◽  
Weng Cho Chew ◽  
Sanjay Velamparambil
Keyword(s):  
Plane Wave ◽  
Electromagnetic Scattering ◽  
Inhomogeneous Plane ◽  
Inhomogeneous Plane Wave

Mode Interactions and Sound Power Transmission Loss of Expansion Chambers

2006 ◽  
Vol 129 (2) ◽  
pp. 141-147 ◽  
Author(s):  
C. K. Lau ◽  
S. K. Tang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Plane Wave ◽  
Industrial Application ◽  
Power Transmission ◽  
Transmission Loss ◽  
Wave Power ◽  
Sound Power ◽  
The Finite Element Method ◽  
Mode Interactions

The mode interactions and the sound transmission loss across the expansion chambers with and without tapered sections are studied by the finite element method in the present investigation. Results from chambers with symmetrical inlet and outlet suggest lower sound power transmission loss at frequencies below that of the first symmetrical transverse chamber mode when the tapered section angle is reduced. Weak sound power transmission loss is also observed for this chamber type at frequency higher than that of the first symmetrical duct mode. Numerous high and low sound power transmission loss regions are observed between these two eigenfrequencies. Higher plane wave power transmission loss can be found at smaller tapered section angle only if one of the chamber endings is not tapered. Such chamber bears important industrial application.

Model calculations in reconstructions of measured fields

Open Physics ◽  
2003 ◽  
Vol 1 (1) ◽  
Author(s):  
Mihály Makai ◽  
Yuri Orechwa
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Group Theory ◽  
Point Group ◽  
Iterative Solution ◽  
The Finite Element Method ◽  
Technological Systems ◽  
Convergence Problem ◽  
Model Calculations

AbstractThe state of technological systems, such as reactions in a confined volume, are usually monitored with sensors within as well as outside the volume. To achieve the level of precision required by regulators, these data often need to be supplemented with the solution to a mathematical model of the process. The present work addresses an observed, and until now unexplained, convergence problem in the iterative solution in the application of the finite element method to boundary value problems. We use point group theory to clarify the cause of the non-convergence, and give rule problems. We use the appropriate and consistent orders of approximation on the boundary and within the volume so as to avoid non-convergence.

The diffraction of an inhomogeneous plane wave by a wedge

Radio Science ◽  
1996 ◽  
Vol 31 (6) ◽  
pp. 1387-1397 ◽  
Author(s):  
R. G. Kouyoumjian ◽  
G. Manara ◽  
P. Nepa ◽  
B. J. E. Taute
Keyword(s):  
Plane Wave ◽  
Inhomogeneous Plane ◽  
Inhomogeneous Plane Wave
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