caa a22 4500 445811439 CHVBK 20180317145213.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00419-010-0444-5 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0444-5 Wiener-Hopf analysis of an acoustic plane wave in a trifurcated waveguide [Elektronische Daten] [M. Ayub, M. Tiwana, A. Mann] In this paper, we have made Wiener-Hopf analysis of an acoustic plane wave by a semi-infinite hard duct that is placed symmetrically inside an infinite soft/hard duct. The method of solution is integral transform and Wiener-Hopf technique. The imposition of boundary conditions result in a 2× 2 matrix Wiener-Hopf equation associated with a new canonical scattering problem which is solved by using the pole removal technique. In the solution, two infinite sets of unknown coefficients are involved that satisfy two infinite systems of linear algebraic equations. These systems of linear algebraic equations are solved numerically. The graphs are plotted for sundry parameters of interest. Kernel functions are also factorized. Springer-Verlag, 2010 Diffraction nationallicence Integral transform nationallicence Wiener-Hopf technique nationallicence Expansion coefficients nationallicence Waveguide nationallicence Pole removal technique nationallicence Ayub M. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan aut Tiwana M. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan aut Mann A. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan aut Archive of Applied Mechanics Springer-Verlag 81/6(2011-06-01), 701-713 0939-1533 81:6<701 2011 81 419 https://doi.org/10.1007/s00419-010-0444-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0444-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ayub M. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan aut NATIONALLICENCE 700 1- Tiwana M. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan aut NATIONALLICENCE 700 1- Mann A. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/6(2011-06-01), 701-713 0939-1533 81:6<701 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer