A Singularity-Free Boundary Equation Method for Wave Scattering

@article{Tsukerman2011ASB,
  title={A Singularity-Free Boundary Equation Method for Wave Scattering},
  author={Igor Tsukerman},
  journal={IEEE Transactions on Antennas and Propagation},
  year={2011},
  volume={59},
  pages={555-562}
}
  • Igor Tsukerman
  • Published 2011 in IEEE Transactions on Antennas and Propagation
Traditional boundary integral methods suffer from the singularity of Green's kernels. The paper develops, for a model problem of 2D scattering as an illustrative example, singularity-free boundary difference equations. Instead of converting Maxwell's system into an integral boundary form first and discretizing second, here the differential equations are first discretized on a regular grid and then converted to boundary difference equations. The procedure involves nonsingular Green's functions… CONTINUE READING

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