## 1 Introduction  
Transient diffraction problems have been the focus of interest for a long time because of their practical utilization in many fields of modern science and technology. The transient nature of the incident/diffracted wavefield requires a more detailed investigation because of the fact that the involved mathematical analysis depends upon the spatial and temporal integral transforms simultaneously. The transient diffraction phenomenon is of vital importance in determining the mechanical properties of solids and liquids. Detection of cracks and their position, nature, extent and orientation is also analyzed by using transient scattered field measurements and such applications can be found in the works of [PERSON] and [PERSON] [1], which analyzes the canonical problem of seismic waves using using a perfect slip fracture. The propagation of transient elastic waves is studied by [PERSON] and [PERSON] [2], in the presence of internal interference that may arise due to steel ball impact, which are used to detect a void or inclusion in a plate-like structure for a point source or array receiver. In [3], diffraction of longitudinal pulse with cylindrical symmetry with a semi-infinite crack are studied to study the effects of an incident wave on upon the diffracted field. [PERSON] and [PERSON] [4], studied the effect of a finite crack, which is subjected to dynamic anti-plane and having a Heaviside function time dependency in an anisotropic material. Transient wave diffraction has also been of considerable interest in geophysical applications including borehole sounding and minerals exploration. The sharp edge and corner geometries encountered in petroleum extraction, in particular, generate diffraction patterns as discussed in the works of [PERSON] et al. [5], and [PERSON] et al. [6]. Another significant domain in which transient waves are studied rigorously is diffraction/scattering of acoustic/elastic/electromagnetic waves. A rich amount of discussion on this topic is available in the textbooks of [PERSON] [7], [PERSON] [8], [PERSON] [9], and [PERSON] [10]. Noteworthy contributions on diffraction of transient waves may be credited to [PERSON] et al. [11], [PERSON] & [PERSON] [12], [PERSON] [13], [PERSON] et al. [14; 15; 16; 17; 18], [PERSON] [19; 20], [PERSON] et al. [21; 22] and [PERSON] et al. [23]. A literature survey reveals the fact that, due to tedious and at the same time the laborious nature of the transient diffraction problems, much more room is available for the study of these problems. It is apposite to state that examining a fluctuating half-plane despite of constant one posses a more challenging problem of the diffraction theory. Due to the importance of diffraction of waves produced by time dependent sources and a fluctuating half plane, in this manuscript, we studied [PERSON] et al. 's work [22] for transient line source diffraction by an oscillating strip with the help of the Wiener-Hopf (WH) technique [24]. Some important practical applications of strip/slit/slot/ stub geometries can be found in optical and microwave instrumentation, coupling structures, reflectors, antenna covers and frequency selective surfaces [25; 26]. Another potential application of strip geometry has been reported by [PERSON] et al. [27] i.e., for improving public safety, emergency management and disaster recovery, a suitable and reliable communication system is required which depends upon a radiating structure supporting multiple standards. On such a radiating structure is a microstrip antenna which has the advantages of being lightweight, low profile, and is easy to fabricate. Thus, multiband behavior can be obtained by a geometry of a reference shape consisting of strips/stubs. Recently, [28] demonstrated that dielectric backed conducting strips can be used as inductive elements to implement a bandpass filter. These strips are placed at a half-wavelength interval and act as resonators. The wideness and spacing of each strip is varied to obtain the desired response.