Singularity of the magnetic-field integral equation and its extraction

In the solution of the magnetic-field integral equation (MFIE) by the method of moments (MOM) on planar triangulations, singularities arise both in the inner integrals on the basis functions and also in the outer integrals on the testing functions. A singularity-extraction method is introduced for the efficient and accurate computation of the outer integrals, similar to the way inner-integral singularities are handled. In addition, various formulations of the MFIE and the electric-field integral equation are compared, along with their associated restrictions.


Singularity Cancellation for Accurate MoM Analysis of Periodic Planar Structures in Layered Media
Adanir, Suleyman; Alatan, Lale (Institute of Electrical and Electronics Engineers (IEEE), 2020-08-01)
One of the singularity cancellation schemes proposed in the literature is applied to calculate singular integrals arising in the method of moments (MoM) analysis of 2-D periodic planar structures in multilayered media. Discrete complex image method is utilized for the accurate approximation of Green's function which also makes possible the application of the Ewald transformation for the efficient computation of the series associated with the periodic structure. This approximation and transformation modifies...
EFIE-Tuned Testing Functions for MFIE and CFIE
Karaosmanoglu, Bariscan; Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2017-01-01)
A recently developed numerical technique for improving the accuracy of the magnetic-field integral equation and the combined-field integral equation with low-order discretizations using the Rao-Wilton-Glisson functions is demonstrated on iterative solutions of large-scale complex problems, in order to prove the effectiveness of the proposed strategy as an alternative way for accurate and efficient analysis of multifrequency applications.
Iterative leap-field domain decomposition method: a domain decomposition finite element algorithm for 3D electromagnetic boundary value problems
Ozgun, O.; Kuzuoğlu, Mustafa (Institution of Engineering and Technology (IET), 2010-04-01)
The authors introduce the iterative leap-field domain decomposition method that is tailored to the finite element method, by combining the concept of domain decomposition and the Huygens' Principle. In this method, a large-scale electromagnetic boundary value problem is partitioned into a number of suitably-defined 'small' and manageable subproblems whose solutions are assembled to obtain the global solution. The main idea of the method is the iterative application of the Huygens' Principle to the fields ra...
Spherical wave expansion of the time-domain free-space Dyadic Green's function
Azizoglu, SA; Koç, Seyit Sencer; Buyukdura, OM (Institute of Electrical and Electronics Engineers (IEEE), 2004-03-01)
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, an expression, expanded in terms of orthogonal spherical vector wave functions, for the time-domain free-space...
Use of Asymptotic Waveform Evaluation Technique in the Analysis of Multilayer Structures With Doubly Periodic Dielectric Gratings
Gudu, Tamer; Alatan, Lale (Institute of Electrical and Electronics Engineers (IEEE), 2009-09-01)
The reflection and dispersion characteristics of multilayer structures that involve periodically implanted material blocks are obtained by using the MoM solution of the volume integral equation. The asymptotic waveform evaluation (AWE) technique is utilized to obtain a Pade approximation of the solution in terms of a parameter such as frequency or incident angle. The use of AWE technique enables a fast sweep with respect to the approximation parameter. Moreover, a robust method for extracting the dispersion...
Citation Formats
L. Gurel and Ö. S. Ergül, “Singularity of the magnetic-field integral equation and its extraction,” IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, pp. 229–232, 2005, Accessed: 00, 2020. [Online]. Available: