Line source and point source scattering of acoustic waves by the junction of transmissive and soft–hard half planes

Line source scattering from a step protrusion in a perfect electromagnetic conductor plane

“…where t, given in Equation (61b), is real. Omitting the details of calculations, after using Equations (16) and (43) in Equation (60), the asymptotic evaluation of the integral in Equation (60) using the method of steepest decent [33] gives the scattered field due to a line source for the case when impedance η 2 is purely inductive for large kr which is given by:…”

“…Hussain [15] analyzed the line source diffraction of electromagnetic waves by a perfectly conducting half plane in a bi-isotropic medium. Recently, Ayub et al [16][17][18] studied the line source diffraction phenomenon by a junction, reactive step, and an impedance step. The scattering of surface waves by junction of two semi-infinite planes joined together by a step was first introduced by Johansen [19].…”

Diffraction of EM-wave by a slit of finite width with Dirichlet conditions in cold plasma

“…Also, a few years back, the scattering problem of plane waves by a discontinuous edge contour is studied with the three-dimensional boundary diffraction wave theory [15]. Evidently, the multitude of prior investigations dedicated to the study of classical problems of line source and point source diffractions of acoustic and electromagnetic waves by half-planes of diverse variations signifies the importance of the subject [14,[16][17][18]. Jones [14] investigated the electromagnetic wave diffraction from a line source by a perfectly conducting half-plane.…”

“…Subsequently, Jones [16] observed the diffraction problem of acoustic waves due to a line source by a hard half-plane. Later on, Ayub et al [17,18] examined the acoustic wave scattering by taking soft-hard half-planes, coming from the line and point sources.…”

Diffraction of Plane Waves by a Slit in an Infinite Soft-Hard Plane

“…Morse and Rubenstein [8], Asghar et al [9] and Hayat et al [10] studied the problem of diffraction of acoustic waves by slits by using the method of separation of variables and the WH technique, respectively. It is pertinent to mention here that scattering from strips, slits, half-planes, impedance surfaces and study of high frequency diffraction are the topics of current interest [11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”