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Assessment of a simple technique for the computation of singular potential and reaction integrals occurring in thin‐wire antenna analysis
Author(s) -
Papakanellos P. J.
Publication year - 2007
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.22172
Subject(s) - singularity , computation , simple (philosophy) , moment (physics) , singular integral , antenna (radio) , mathematics , mathematical analysis , method of moments (probability theory) , microwave , scope (computer science) , range (aeronautics) , basis (linear algebra) , kernel (algebra) , numerical analysis , integral equation , algorithm , geometry , engineering , computer science , physics , classical mechanics , pure mathematics , electrical engineering , telecommunications , epistemology , estimator , programming language , philosophy , statistics , aerospace engineering
When applied on the basis of the exact cylindrical wire kernel, thin‐wire moment‐method formulations yield singular integrals, the direct numerical calculation of which possesses certain difficulties. The scope of this work is the assessment of a simple singularity isolation technique for the accurate evaluation of typical potential and reaction integrals arising in moment‐method analysis of cylindrical antennas. The extracted singular part of these integrals is obtained analytically by properly approximating the singular integrands within a small area embracing the singularity. Numerical results illustrate the accuracy and effectiveness of the proposed technique over a wide range of segment lengths. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 462–467, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22172