Comparative evaluation of absorbing boundary conditions using Green's functions for layered media

Absorbing boundary conditions are comparatively studied using the Green's functions of the vector and scalar potentials for multilayer geometries and general sources. Since the absorbing boundaries are introduced as additional layers with predefined reflection coefficients into the calculation of the Green's functions, this approach provides an absolute measure of the effectiveness of different absorbing boundaries. The Green's functions are calculated using different reflection coefficients corresponding to different absorbing boundaries and compared to those obtained with no absorbing boundary. It is observed that the perfectly matched layer (PML) is by far the best among the other absorbing boundary conditions whose reflection coefficients are available.


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Yeni, Burcu; Dural Ünver, Mevlüde Gülbin; Department of Electrical and Electronics Engineering (2015)
Derivation of dyadic Green’s functions for a variety of geometries is a problem frequently faced in different fields of electromagnetics including the analysis and design of antennas, waveguides and resonators. In the case of spherically stratified antenna, waveguide or resonator structures, the analytical derivation process of dyadic Green’s functions is often extremely complex while numerical solutions comprise heavy workload. In this thesis, an equivalent two-port network model, which was first developed...
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Selçuk, Gökhun; Koç, Seyit Sencer; Department of Electrical and Electronics Engineering (2014)
Solution of surface scattering problems with electric field integral equation (EFIE) requires careful treatment of singularities introduced by the 3D dyadic Green’s function when source and observation points are close to each other or coincide. One may either utilize the divergence conforming basis and testing functions to reduce the order of singularity or directly deal with singularities via analytical singularity extraction methods. The latter method is a not a commonly used one although it enables use ...
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Aksun, MI; Dural Ünver, Mevlüde Gülbin (Institute of Electrical and Electronics Engineers (IEEE), 2005-11-01)
The closed-form Green's functions (CFGF), derived for the vector and scalar potentials in planar multilayer media, have been revisited to clarify some issues and misunderstandings on the derivation of these Green's functions. In addition, the range of validity of these Green's functions is assessed with and without explicit evaluation of the surface wave contributions. As it is well-known, the derivation of the CFGF begins with the approximation of the spectral-domain Green's functions by complex exponentia...
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Buyukdura, OM; Koç, Seyit Sencer (1997-01-01)
The importance of expanding Green's functions, particularly free-space Green's functions, in terms of orthogonal wave functions is practically self-evident when frequency domain scattering problems are of interest. With the relatively recent and widespread interest in time domain scattering problems, similar expansions of Green's functions are expected to be useful in the time domain. In this paper, two alternative expressions, expanded in terms of orthogonal spherical wave functions, for the free-space tim...
Citation Formats
M. Aksun and M. G. Dural Ünver, “Comparative evaluation of absorbing boundary conditions using Green’s functions for layered media,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, pp. 152–156, 1996, Accessed: 00, 2020. [Online]. Available: