An investigation of new FETD/ABC methods of computation of scattering from three-dimensional material objects

A Time-Domain Finite Element Method for Helmholtz Equations

“…For such an elongated scattering body, it is more desirable to place the artificial boundary as close to the body as possible. In this case, absorbing boundary conditions (ABC) may be used as in [11,12]. For scattering problems in a cavity, one can place an artificial boundary at the cavity opening, which is a line segment in 2-D or a planar region in 3-D.…”

Assessment of the performances of first‐ and second‐order time‐domain ABC's for the truncation of finite element grids

“…The electromagnetic scattering problem nent of the electric field on the external boundary, ٌ t is the transverse component of the ٌ-operator, and n is the outward normal vector on the outer boundary Ѩ⍀. By setting ϭ 0, the Sommerfeld condition [3] is imposed on the outer boundary, while choosing ϭ 1 leads to applying the second-order symmetric ABC, originally proposed by Webb and Kanellopoulos in the frequency domain [17] and recently reformulated also in the time domain [22]. Considering Eq.…”

“…Recently, the Sommerfeld condition and the Webb et al second-order ABC have been also applied in time-domain finiteelement (TDFE) codes [22,23] for the solution of unbounded electromagnetic problems, turning out to be of easy implementation, also in the time domain.…”

Finite element analysis of transient electromagnetic scattering problems

“…For the more complex heterogeneous scattering bodies, variational methods are easier to be formulated and simulated. However, most of the present published work concentrates on bounded dielectric obstacles with perfectly conducting boundaries [7,8,17,19,20]. In this paper, we are interested in the cavity-backed scattering problems, in which a nonhomogeneous cavity is buried in the infinite ground plane, rendering the problem domain unbounded.…”