A Novel Approach to Solving Line Source Diffraction Caused by Perfectly Conducting Successive Steps
In this study, a new unconventional approach that departs from the classical method is proposed to solve the modified scalar Wiener–Hopf equation of the third kind with regard to the diffraction problem of cylindrical waves caused by perfectly conducting successive step discontinuities. This novel t...
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| Format: | Article |
| Language: | English |
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The Korean Institute of Electromagnetic Engineering and Science
2025-07-01
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| Series: | Journal of Electromagnetic Engineering and Science |
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| Online Access: | https://www.jees.kr/upload/pdf/jees-2025-4-r-305.pdf |
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| author | Kadir Durgut Gökhan Çınar Ali Alkumru |
| author_facet | Kadir Durgut Gökhan Çınar Ali Alkumru |
| author_sort | Kadir Durgut |
| collection | DOAJ |
| description | In this study, a new unconventional approach that departs from the classical method is proposed to solve the modified scalar Wiener–Hopf equation of the third kind with regard to the diffraction problem of cylindrical waves caused by perfectly conducting successive step discontinuities. This novel technique allows for the asymptotic analytical evaluation of the branch-cut integrals appearing in the approximate iterative solution of a pair of coupled Fredholm integral equations of the second kind, into which the corresponding Wiener–Hopf equation is reduced. The results obtained using this new method are compared to those of the classical method by graphically presenting the amplitude of the diffracted field with respect to certain significant parameters, such as the width and height of the steps. |
| format | Article |
| id | doaj-art-31c1e9ddd07b403e912e7d409eaf1cdf |
| institution | DOAJ |
| issn | 2671-7255 2671-7263 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | The Korean Institute of Electromagnetic Engineering and Science |
| record_format | Article |
| series | Journal of Electromagnetic Engineering and Science |
| spelling | doaj-art-31c1e9ddd07b403e912e7d409eaf1cdf2025-08-20T02:57:21ZengThe Korean Institute of Electromagnetic Engineering and ScienceJournal of Electromagnetic Engineering and Science2671-72552671-72632025-07-0125434435010.26866/jees.2025.4.r.3053753A Novel Approach to Solving Line Source Diffraction Caused by Perfectly Conducting Successive StepsKadir Durgut0Gökhan Çınar1Ali Alkumru2 The Scientific and Technical Research Council of Turkey (TUBITAK), Gebze, Kocaeli, Turkey Department of Electrical and Electronics Engineering, Eskisehir Osmangazi University, Eskisehir, Turkey Department of Electronics Engineering, Gebze Technical University, Gebze, Kocaeli, TurkeyIn this study, a new unconventional approach that departs from the classical method is proposed to solve the modified scalar Wiener–Hopf equation of the third kind with regard to the diffraction problem of cylindrical waves caused by perfectly conducting successive step discontinuities. This novel technique allows for the asymptotic analytical evaluation of the branch-cut integrals appearing in the approximate iterative solution of a pair of coupled Fredholm integral equations of the second kind, into which the corresponding Wiener–Hopf equation is reduced. The results obtained using this new method are compared to those of the classical method by graphically presenting the amplitude of the diffracted field with respect to certain significant parameters, such as the width and height of the steps.https://www.jees.kr/upload/pdf/jees-2025-4-r-305.pdfdiffractionline sourcesuccessive stepswiener-hopf technique |
| spellingShingle | Kadir Durgut Gökhan Çınar Ali Alkumru A Novel Approach to Solving Line Source Diffraction Caused by Perfectly Conducting Successive Steps Journal of Electromagnetic Engineering and Science diffraction line source successive steps wiener-hopf technique |
| title | A Novel Approach to Solving Line Source Diffraction Caused by Perfectly Conducting Successive Steps |
| title_full | A Novel Approach to Solving Line Source Diffraction Caused by Perfectly Conducting Successive Steps |
| title_fullStr | A Novel Approach to Solving Line Source Diffraction Caused by Perfectly Conducting Successive Steps |
| title_full_unstemmed | A Novel Approach to Solving Line Source Diffraction Caused by Perfectly Conducting Successive Steps |
| title_short | A Novel Approach to Solving Line Source Diffraction Caused by Perfectly Conducting Successive Steps |
| title_sort | novel approach to solving line source diffraction caused by perfectly conducting successive steps |
| topic | diffraction line source successive steps wiener-hopf technique |
| url | https://www.jees.kr/upload/pdf/jees-2025-4-r-305.pdf |
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