Evaluation of Hypersingular Integrals on Non-planar Surfaces

Date

2014-05-16

Author

Selcuk, Gokhun
Koç, Seyit Sencer

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Solving electric field integral equation (EFIE) with Nystrom method requires accurate evaluation of hypersingular surface integrals since this method does not use divergence conforming basis and testing functions. The success of the method also depends on accurate representation of non-planar characteristics of the scattering object. In this study Hadamard finite part interpretation is used to evaluate hypersingular integrals over non-planar surfaces, which are represented by their Taylor series expansions. Numerical tests are conducted to show the effectiveness of the formulas. Also a scattering problem is solved which confirms the accuracy.

Subject Keywords

EFIE, Nystrom method, Hypersingular integral, Hadamard finite part

URI

https://hdl.handle.net/11511/54887

Conference Name

International Conference on Numerical Electromagnetic Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO)

Collections

Department of Electrical and Electronics Engineering, Conference / Seminar

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Citation Formats

G. Selcuk and S. S. Koç, “Evaluation of Hypersingular Integrals on Non-planar Surfaces,” presented at the International Conference on Numerical Electromagnetic Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO), Pavia, Italy, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54887.