Wiener Hopf Analysis of Sound Waves by a Rigid Cylindrical Pipe with External Impedance Surface
International Journal of Mathematical Models and Methods in Applied Sciences, cilt.9, ss.558-565, 2015 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9
- Basım Tarihi: 2015
- Dergi Adı: International Journal of Mathematical Models and Methods in Applied Sciences
- Derginin Tarandığı İndeksler: INSPEC
- Sayfa Sayıları: ss.558-565
- Marmara Üniversitesi Adresli: Evet
Özet
In the present work, diffraction of sound waves
emanating from a ring source by a rigid cylindrical pipe with external
impedance surface, is analyzed. This boundary-value problem is
investigated using Wiener-Hopf technique. To obtain a couple of
simultaneous Wiener-Hopf equations, Fourier transform is applied.
The solution which involves two sets of infinitely many constants
satisfying two infinite systems of linear algebraic equations, is found
analytically by the application of saddle point technique.