Complex coordinate stretching as a generalized absorbing boundary condition

Abstract

Figure 4 Comparison of normalized power density calculated using w x Ž . the recursive T-matrix algorithm with 11 a Tessellated geometry Ž . showing the scattering for 45Њ slanted metallic rectangle b Polar Ž . plot showing the normalized power density vs. for geometry of a

Quadridirectional eigenmode expansion scheme for 2-D modeling of wave propagation in integrated optics

“…correspond to the BEP2 results of Ref. [27], computed by means of a bidirectional eigenmode propagation algorithm [28,7] with perfectly matched layer boundary conditions [29,30]. The comparison to other, entirely different approaches in Ref.…”

Pseudo-Analytical Modeling for Electromagnetic Well-Logging Tools in Complex Geophysical Formations

“…The radial direction of the problem at hand is truncated by a perfectly matched layer (PML) [61][62][63] to mimic an unbounded medium. The PML extends over r P M L < ρ < r N , as illustrated in Fig.…”

“…We use the complex coordinate stretching formulation of the PML because it allow us to reuse all close-form eigenmode formulas shown above. To this end, we first define a one-to-one mapping of the radial coordinate ρ to a stretchedρ [62,64] as…”

“…The coordinate stretching does not formally change the appearance of Maxwell's equations [62,64]. As a result, we can reuse the well-known closedform solutions by mapping the original (real) radial space into a complex coordinate system.…”

Analysis of cylindrical waveguide discontinuities using vectorial eigenmodes and perfectly matched layers

“…We use the complex coordinate stretching formulation of PMLs [9], which states that an analytic continuation of Maxwell's equations onto complex coordinates provides for reflectionless absorption of incident waves, regardless of wavelength, incidence angle, or polarization. More specifically, we introduce the following change of variables for the radial coordinate in cylindrical coordinate systems:…”