TM Electromagnetic Scattering from PEC Polygonal Cross-Section Cylinders: A New Analytical Approach for the Efficient Evaluation of Improper Integrals Involving Oscillating and Slowly Decaying Functions
Joint Authors
Lucido, Mario
Santomassimo, Chiara
Schettino, Fulvio
Panariello, Gaetano
Migliore, M. D.
Pinchera, D.
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-10
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The analysis of the TM electromagnetic scattering from perfectly electrically conducting polygonal cross-section cylinders is successfully carried out by means of an electric field integral equation formulation in the spectral domain and the method of analytical preconditioning which leads to a matrix equation at which Fredholm’s theory can be applied.
Hence, the convergence of the discretization scheme is guaranteed.
Unfortunately, the matrix coefficients are improper integrals involving oscillating and, in the worst cases, slowly decaying functions.
Moreover, the classical analytical asymptotic acceleration technique leads to faster decaying integrands without overcoming the most important problem of their oscillating nature.
Thus, the computation time rapidly increases as higher is the accuracy required for the solution.
The aim of this paper is to show a new analytical technique for the efficient evaluation of such kind of integrals even when high accuracy is required for the solution.
American Psychological Association (APA)
Lucido, Mario& Santomassimo, Chiara& Schettino, Fulvio& Migliore, M. D.& Pinchera, D.& Panariello, Gaetano. 2019. TM Electromagnetic Scattering from PEC Polygonal Cross-Section Cylinders: A New Analytical Approach for the Efficient Evaluation of Improper Integrals Involving Oscillating and Slowly Decaying Functions. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1119028
Modern Language Association (MLA)
Lucido, Mario…[et al.]. TM Electromagnetic Scattering from PEC Polygonal Cross-Section Cylinders: A New Analytical Approach for the Efficient Evaluation of Improper Integrals Involving Oscillating and Slowly Decaying Functions. Advances in Mathematical Physics No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1119028
American Medical Association (AMA)
Lucido, Mario& Santomassimo, Chiara& Schettino, Fulvio& Migliore, M. D.& Pinchera, D.& Panariello, Gaetano. TM Electromagnetic Scattering from PEC Polygonal Cross-Section Cylinders: A New Analytical Approach for the Efficient Evaluation of Improper Integrals Involving Oscillating and Slowly Decaying Functions. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1119028
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119028