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A New Analytical Model of Diffraction by 3D
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TLDR
In this article, a model of the dielectric cubic corner is presented, which is suitable for inclusion in a standard electromagnetic (EM) simulator, starting from a consideration of the equivalent current densities on the cube facets.Abstract:
We present a novel model of the dielectric cubic corner, that is suitable for inclusion in a standard electromagnetic (EM) simulator. The model starts from a consideration of the equivalent current densities on the cube facets. It proceeds by employing a classical multipole expansion of the Green's function at the corner and introduces the novel principle of simultaneous transverse resonance diffraction (STRD) in order to determine the order of singularity. The theory is validated by numerical simulations, yielding information about the accuracy of the near field around a 90 deg. dielectric corner.read more
References
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Book
Open Electromagnetic Waveguides
T. Rozzi,Mauro Mongiardo +1 more
TL;DR: In this article, the authors provide an extensive introduction to the practical use of spectral methods in solving real engineering problems in an open electromagnetic waveguide environment. But their work is limited to a single application.
High-Accuracy Finite-Difference Equations for Dielectric Waveguide Analysis II:
TL;DR: In this paper, the authors present a finite-difference equation for waveguide eigenmode solution valid for a dielectric corner, which is based on an expansion of the field components as powers of the radius at the corner.
Journal ArticleDOI
High-accuracy finite-difference equations for dielectric waveguide analysis II: dielectric corners
TL;DR: In this paper, the behavior of the electric and magnetic fields satisfying the two-dimensional Helmholtz equation for waveguides in the vicinity of a dielectric corner was discussed.
Journal ArticleDOI
Error analysis for the truncation of multipole expansion of vector Green's functions [EM scattering]
Jiming Song,Weng Cho Chew +1 more
TL;DR: The error analysis for the truncation error in the multipole expansion of vector Green's functions is given and it is shown that the infinite series should be truncated for the addition theorem.
Book
Diffraction by an Aperture. II
TL;DR: In this article, the field diffracted by an aperture of any shape is evaluated asymptotically for small wavelengths on the basis of several approximate diffraction theories, including the Kirchhoff method, its two customary modifications, and W. Braunbek's new modification.
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