Diffraction of a Plane Electromagnetic Wave by a Slot in a Conducting Screen of Finite Thickness Placed in Front of a Half-Infinite Dielectric

Abstract

Abstract-The problem of diffraction of a plane electromagnetic wave by a slot in a planar perfectly conducting screen of arbitrary thickness in the presence of a half-infinite dielectric arranged at a distance from a screen is solved rigorously on the bases of eigenfunction expansion and mode matching technique. The calculation algorithm for various components of the electric and magnetic field vectors in the entire space is presented, and a simple computation method for corresponding diffraction integrals is described. Just one more method of field visualization is demonstrated, which utilizes a picture of the energyflux lines.

Three-Dimensional Electromagnetic Diffraction by a Slot System With Parallel Plane Dielectric Interfaces

“…Fig. 3 displays the example of such computation for the following case: the half-width of a slot is l = 0.382λ (kl = 2.40); the distance between a dielectric and a screen is h = 0.907 (kh = 5.70); the orientation angles of the diffracting wave (5) are ϑ = 30 • , ϕ = 20 • ; a dielectric is isotropic; its permittivity is the scalar complex value of 1.90 + 2.00 × 10 −2 i, close to the value used in the numerical example of [10]. This figure plots magnitudes of the electric and magnetic field vectors |E| = (|E x | 2 + |E y | 2 + |E z | 2 ) 1/2 and |H| = (|H x | 2 + |H y | 2 + |H z | 2 ) 1/2 in the same scale.…”

“…We will solve these equations by analogy with the case of twodimensional diffraction by a slot in a screen of finite thickness [7][8][9][10], considering the thin conducting screen having finite but very small thickness compared with the wavelength. The functions of y in the left sides of (13) determine the fields E y and E z on a slot.…”

“…However, this case is more complex for computations in comparison with the case of twodimensional diffraction [7][8][9][10][11][12][13][14][15][16], because one cannot consider diffraction fields in terms of two independent polarizations for which the field equations split into two independent subsystems. For example, in the works [3,4] the three-dimensional diffraction by a slot and strip structures with dielectric layers is described by a system of singular integrodifferential equations for the spatial field components, whose solution is constructed in a matrix form.…”

Method of Additive Regularization of Field Integrals in the Problem of Electromagnetic Diffraction by a Slot in a Conducting Screen, Placed Before a Dielectric Layer

“…It should be noted that the majority of works on this topic consider the slot structures without dielectrics, and the structures, having the simple inclusions of the type of plane-layered dielectrics, are rather seldom studied using the eigen-modes technique, because for them the procedure of field integrals computation becomes complicated. In [19], the presence of a dielectric behind the screen with a slot has been taken into account, but the authors consider semi-infinite strongly absorbing dielectric medium. In the presence of plane-layered dielectrics, the integrands of field integrals show appearance of multipliers, which display the processes of reflection and refraction on dielectric interfaces.…”

Enhanced Design of Narrowband Filters Based on the Extraordinary Transmission Through Single Fishnet Structures

“…In the light of this perspective, diverse effective diffraction models have been developed to enable thorough electromagnetic computations for a 2-D array of holes [18][19][20][21][22]. These models highlight the importance of periodicity, rather than the excitation of surface plasmons, for the onset of the ET phenomenon.…”