TY - GEN
T1 - A new family of radial angular transformations for the near-singularity cancellation technique
AU - Li, Li
AU - Wang, Kun
AU - Eibert, Thomas F.
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/10/22
Y1 - 2015/10/22
N2 - A new family of radial-angular-Rn transformation formulas are proposed for the singularity cancellation technique. To cancel out the singularity in the integral kernels, an ideal Jacobian of the coordinate transformations is required. For the first order of singular coupling integral kernels, a new augmented radial-angular-R1 transformation is proposed. For the second order of singular coupling integral kernels, new radial-angular-R2 and radial-angular-R2-cosh transformations are developed. Finally, for the third order of singular coupling integral kernels, a new group of radial-angular-R3, arcsinh-R3 and augmented radial-angular-R3 transformations are designed. The higher order singularity cancellation schemes are also effective for the lower orders of singular kernels. The proposed R2 and R3 transformation schemes are efficient and applicable to all mutual couplings for in electromagnetics integral equations.
AB - A new family of radial-angular-Rn transformation formulas are proposed for the singularity cancellation technique. To cancel out the singularity in the integral kernels, an ideal Jacobian of the coordinate transformations is required. For the first order of singular coupling integral kernels, a new augmented radial-angular-R1 transformation is proposed. For the second order of singular coupling integral kernels, new radial-angular-R2 and radial-angular-R2-cosh transformations are developed. Finally, for the third order of singular coupling integral kernels, a new group of radial-angular-R3, arcsinh-R3 and augmented radial-angular-R3 transformations are designed. The higher order singularity cancellation schemes are also effective for the lower orders of singular kernels. The proposed R2 and R3 transformation schemes are efficient and applicable to all mutual couplings for in electromagnetics integral equations.
UR - http://www.scopus.com/inward/record.url?scp=84953715282&partnerID=8YFLogxK
U2 - 10.1109/APS.2015.7304662
DO - 10.1109/APS.2015.7304662
M3 - Conference contribution
AN - SCOPUS:84953715282
T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
SP - 552
EP - 553
BT - 2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - IEEE Antennas and Propagation Society International Symposium, APS 2015
Y2 - 19 July 2015 through 24 July 2015
ER -