A new differential formulation of acoustic scattering by rotationally symmetrical penetrable scatterers

Date

1994-07-01

Author

Günalp, Nilgün
TOSUN, H

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

125
views

0
downloads

A new differential formulation is presented for acoustic wave scattering from rotationally symmetric penetrable bodies. The numerical implementation of this formulation is fairly simple, and comprises basically the construction of the state-transition matrix of a system of differential equations and the solution of a matrix equation. The validity and the accuracy of the numerical scheme are tested considering objects of known scattering behavior. Other numerical applications are also presented to demonstrate the generality of the method in handling scatterers of arbitrary shapes and material compositions.

Subject Keywords

Helmholtz integral-equation, Wave Scattering

URI

https://hdl.handle.net/11511/63247

Journal

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

On the accuracy and efficiency of surface formula tions in fast analysis of plasmonic structures via MLFMA Karaosmanoglu, Barıscan; Yılmaz, Akıf; Ergül, Özgür Salih (null; 2016-08-11) We consider the accuracy and efficiency of surface integral equations, when they are used to formulate electromagnetic problems involving plasmonic objects at optical frequencies. Investigations on the iterative solutions of scattering problems with the multilevel fast multipole algorithm show that the conventional formulations, especially the state-of-the-art integral equations, can significantly be inaccurate, in contrast to their performances for ordinary dielectrics. The varying performances of the form...
Evaluation of Hypersingular Integrals on Curvilinear Surface Elements Selcuk, Gokhun; Koç, Seyit Sencer (2016-04-15) In this study finite part integrals are utilized for evaluation of hypersingular and nearly-hypersingular surface integrals on curvilinear elements. These integrals are related to the second derivative of the free space Green' function and arise in the solution of electric field integral equation (EFIE) via locally corrected Nystriim (LCN) method. The curvilinear elements are represented by the Taylor series expansion of the surface function around the observation point. The hypersingular integral, defined ...
An Efficient Numerical Approach for Evaluating Sommerfeld Integrals Arising in the Construction of Green's Functions for Layered Media Özgün, Özlem; Mittra, Raj; Kuzuoğlu, Mustafa (2022-01-01) This paper presents an efficient approach for evaluating the Sommerfeld integrals in the spectral domain, whose integrands typically show an oscillatory and slowly decaying behavior at high frequencies, e.g., in the millimeter wave regime. It is well known that these integrals arise in the representations of the dyadic Green's functions of layered media and efficient computation of these Green's functions is key to rapid CEM modeling of patch antennas and printed circuits designed for 5G appli...
On the Accuracy and Efficiency of Surface Formulations in Fast Analysis of Plasmonic Structures via MLFMA Karaosmanoglu, B.; Yılmaz, Ayşen; Ergül, Özgür Salih (2016-08-11) We consider the accuracy and efficiency of surface integral equations, when they are used to formulate electromagnetic problems involving plasmonic objects at optical frequencies. Investigations on the iterative solutions of scattering problems with the multilevel fast multipole algorithm show that the conventional formulations, especially the state-of-the-art integral equations, can significantly be inaccurate, in contrast to their performances for ordinary dielectrics. The varying performances of the form...
Full-Wave Computational Analysis of Optical Chiral Metamaterials Guler, Sadri; Solak, Birol; Gür, Uğur Meriç; Ergül, Özgür Salih (2017-09-27) We present computational analysis of optical chiral metamaterials that consist of helical metallic elements. At optical frequencies, metals are modeled as penetrable objects with plasmonic properties. A rigorous implementation based on boundary element methods and the multilevel fast multipole algorithm is used for efficient and accurate analysis of three-dimensional structures. Numerical results demonstrate interesting polarization-rotating characteristics of such arrays with helical elements, as well as t...

Citation Formats

N. Günalp and H. TOSUN, “A new differential formulation of acoustic scattering by rotationally symmetrical penetrable scatterers,” JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, pp. 536–544, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63247.