In recent years, air transportation, especially in crowded cities becomes more important and the number of the airports increase every day. Since, the airports are built nearby the city centers, the people who live next to airports, expose to lots of noise pollution. Both the reduction of the people's life quality and the requirement of the European Union standards have made those problems very important to be solved. Thus, researchers such as mathematicians, physicists, engineers, have been investigated this problem for years. Various options for the reduction of noise emanating from different sources have been discussed extensively in the literature. One of which is perforated structures. The aim of this study is to investigate the effect of finite perforated part to the radiated field. To this end the radiation of plane sound waves by a semi infinite rigid pipe having a finite perforated part is investigated rigorously. This boundary value problem is investigated using well known Wiener-Hopf technique. To obtain a Wiener-Hopf equations, Fourier transform is applied. The far field solution is found analytically by the application of saddle point technique. The present study can be used as a model for many engineering applications, such as noise reduction in exhaust systems, in modern aircraft jet and turbofan engines. Such researchs are useful in the reduction of noise effects generated through a variety of sources.
Anahtar Kelimeler: Wiener-Hopf, Perforated Cylinder, Fourier Transform, Saddle Point Technique.