Diffraction of Transient Cylindrical Waves by a Rigid Oscillating Strip
This investigation portrays the transient cylindrical wave diffraction by an oscillating strip. Mathematical analysis of the problem is carried out with the help of an integral transforms and the Wiener–Hopf technique. Using far zone approximation, the scattered field is evaluated by the method of s...
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| Format: | Article |
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MDPI AG
2020-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/10/3568 |
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| author | Amer Bilal Mann Muhammad Ramzan Imran Fareed Nizami Seifedine Kadry Yunyoung Nam Houman Babazadeh |
| author_facet | Amer Bilal Mann Muhammad Ramzan Imran Fareed Nizami Seifedine Kadry Yunyoung Nam Houman Babazadeh |
| author_sort | Amer Bilal Mann |
| collection | DOAJ |
| description | This investigation portrays the transient cylindrical wave diffraction by an oscillating strip. Mathematical analysis of the problem is carried out with the help of an integral transforms and the Wiener–Hopf technique. Using far zone approximation, the scattered field is evaluated by the method of steepest descent. This study takes into consideration the transient cylindrical source and an oscillating strip such that both the source and a scatterer have different oscillating frequencies <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mrow> <mn>1</mn> </mrow> <msup> <mrow></mrow> <mo>′</mo> </msup> </msubsup> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mrow> <mn>0</mn> </mrow> <msup> <mrow></mrow> <mo>′</mo> </msup> </msubsup> </semantics> </math> </inline-formula>, respectively. The situation under consideration is well supported by graphical results showing the effects of emerging parameters. |
| first_indexed | 2024-03-10T19:40:44Z |
| format | Article |
| id | doaj.art-8450535a1ced49e98a2a0bea5e930f5d |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T19:40:44Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-8450535a1ced49e98a2a0bea5e930f5d2023-11-20T01:14:16ZengMDPI AGApplied Sciences2076-34172020-05-011010356810.3390/app10103568Diffraction of Transient Cylindrical Waves by a Rigid Oscillating StripAmer Bilal Mann0Muhammad Ramzan1Imran Fareed Nizami2Seifedine Kadry3Yunyoung Nam4Houman Babazadeh5Department of Mathematical Sciences, Federal Urdu University of Arts, Science and Technology, G-7/1, Near Zero Point, Islamabad 45320, PakistanDepartment of Computer Science, Bahria University, Islamabad Campus, Islamabad 45320, PakistanDepartment of Electrical Engineering, Bahria University, Islamabad Campus, Islamabad 45320, PakistanDepartment of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut 115020, LebanonDepartment of Computer Science and Engineering, Soonchunhyang University, Asan 31538, KoreaDepartment for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 758307, VietnamThis investigation portrays the transient cylindrical wave diffraction by an oscillating strip. Mathematical analysis of the problem is carried out with the help of an integral transforms and the Wiener–Hopf technique. Using far zone approximation, the scattered field is evaluated by the method of steepest descent. This study takes into consideration the transient cylindrical source and an oscillating strip such that both the source and a scatterer have different oscillating frequencies <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mrow> <mn>1</mn> </mrow> <msup> <mrow></mrow> <mo>′</mo> </msup> </msubsup> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>ω</mi> <mrow> <mn>0</mn> </mrow> <msup> <mrow></mrow> <mo>′</mo> </msup> </msubsup> </semantics> </math> </inline-formula>, respectively. The situation under consideration is well supported by graphical results showing the effects of emerging parameters.https://www.mdpi.com/2076-3417/10/10/3568diffractiontransient cylindrical waveoscillating stripWiener–Hopf techniquesteepest descent method |
| spellingShingle | Amer Bilal Mann Muhammad Ramzan Imran Fareed Nizami Seifedine Kadry Yunyoung Nam Houman Babazadeh Diffraction of Transient Cylindrical Waves by a Rigid Oscillating Strip Applied Sciences diffraction transient cylindrical wave oscillating strip Wiener–Hopf technique steepest descent method |
| title | Diffraction of Transient Cylindrical Waves by a Rigid Oscillating Strip |
| title_full | Diffraction of Transient Cylindrical Waves by a Rigid Oscillating Strip |
| title_fullStr | Diffraction of Transient Cylindrical Waves by a Rigid Oscillating Strip |
| title_full_unstemmed | Diffraction of Transient Cylindrical Waves by a Rigid Oscillating Strip |
| title_short | Diffraction of Transient Cylindrical Waves by a Rigid Oscillating Strip |
| title_sort | diffraction of transient cylindrical waves by a rigid oscillating strip |
| topic | diffraction transient cylindrical wave oscillating strip Wiener–Hopf technique steepest descent method |
| url | https://www.mdpi.com/2076-3417/10/10/3568 |
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