Scattering and Diffraction by Wedges 1. Vito G. Daniele

(MF) transform

List of Illustrations

1 Chapter 1Figure 1.6.1 The “smile” and “frown” integration lines of the η' -plane Figure 1.13.1 Proper sheet of the η-plane with four quadrants 1, 2, 3 and 4 deli...Figure 1.13.2 Image of the proper and improper sheets of the η-plane onto the w ...Figure 1.15.1 Contour deformation of the integration line from the real axis of ...Figure 1.15.2 Integration path λ in the w plane. For a color version of the figu...Figure 1.18.1 Top left: the absolute value of F+(η) obtained with the Mittag–Lef...Figure 1.18.2 Top: the absolute value of the component (i,j) of the plus factori...Figure 1.18.3 Left: the absolute value of the component s (s=1 gray symbols, s=2...

2 Chapter 2Figure 2.2.1 Left: slab filled by an arbitrary linear medium. Right: network...Figure 2.3.1 The perfectly electrically conducting (PEC) half-plane problem ...Figure 2.7.1 Equivalence theorem using a perfectly electrically conducting s...Figure 2.7.2 Plane η: branch points ±k, vertical branch lines, curves with...Figure 2.7.3 Left: η-plane with the SDP for the set of φ = {πFigure 2.8.1 The half-plane scattering problem with Eo=1 V/m, φFigure 2.8.2 The half-plane scattering problem with Eo=1 V/m, φ_oFigure 2.8.3 Half-plane scattering problem with Eo=1 V/m, φ_o = 0...Figure 2.8.4 Half-plane scattering problem with Eo=1 V/m, φ_o = 0...Figure 2.9.1 Left: slab filled by an arbitrary linear medium in elasticity. ...Figure 2.9.2 Left: multilayer slab in elasticity terminated by semi-infinite...Figure 2.10.1 Left: plane wave reflection between semi-infinite homogeneous ...Figure 2.11.1 Left: half-infinite crack in a homogeneous elastic solid plana...

3 Chapter 3Figure 3.3.1 Angular region 0 ≤ Φ ≤ γ₁ ≤ Π with three coordina...Figure 3.3.2 Space divided into four angular regions delimited by ϕ =...Figure 3.4.1 Proper sheet of the

-plane with four quadrants 1, 2, 3 and 4 d...Figure 3.4.2 Images of the proper and improper sheets of the

-plane in the...Figure 3.5.1 Scattering of an impenetrable wedge by a plane wave at skew inc...Figure 3.11.1 Angular region 0 ≤ ρ < ∞, ϕ₁ ≤ ϕ ≤ ϕ...Figure 3.12.1 Regularity regions of

respectively in

.Figure 3.12.2 Images of the proper and improper sheets of the η-plane in the...Figure 3.13.1 Angular region 0 ≤ ρ < ∞, ϕ₁ ≤ ϕ ≤ ϕ...Figure 3.15.1 Elastic solid wedge illuminated by an SH wave. For a color ver...Figure 3.17.1 Left: PEC wedge illuminated by a plane wave at Ez polarization...Figure 3.A.1 Graphical representation of natural and complex spectral planes...