Numerical Validation of a Boundary Element Method with Electric Field and Its Normal Derivative as the Boundary Unknowns
Keywords:
Boundary element method, electromagnetic scattering, surface integral equationsAbstract
We recently developed a surface integral equation method where the electric field and its normal derivative are chosen as the boundary unknowns. After reviewing this formulation, we present preliminary numerical calculations that show good agreement with the known results. These calculations are encouraging and invite the further development of the numerical solution.
Downloads
References
A. J. Yuffa and J. Markkanen, “A 3-D tensorial integral formulation of scattering containing intriguing relations,” IEEE Transactions on Antennas and Propagation, vol. 66, no. 10, pp. 5274–5281, Oct. 2018.
J. DeSanto and A. Yuffa, “A new integral equation method for direct electromagnetic scattering in homogeneous media and its numerical confirmation,” Waves in Random and Complex Media, vol. 16, no. 4, pp. 397–408, Nov. 2006.
J. A. DeSanto, “A new formulation of electromagnetic scattering from rough dielectric interfaces,” Journal of Electromagnetic Waves and Applications, vol. 7, no. 10, pp. 1293–1306, Jan. 1993.
P. Grinfeld, Introduction to Tensor Analysis and the Calculus of Moving Surfaces, Springer, New York, 2013.
S. J¨arvenp¨a¨a, M. Taskinen, and P. Yl¨a-Oijala, “Singularity subtraction technique for high-order polynomial vector basis functions on planar triangles,” IEEE Transactions on Antennas and Propagation, vol. 54, no. 1, pp. 42–49, 2006.
