TY - GEN
T1 - Deep Thinning of MoM Matrices with the Balanced Electromagnetic Absorber Method in 3 Dimensions
AU - Kastner, Raphael
AU - Weile, Daniel S.
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - A three dimensional implementation of the recently introduced balanced electromagnetic absorber (BEMA) method is presented herein. In the BEMA, a balanced (Weston-type) absorber, characterized by both electric and magnetic loss mechanisms, is placed within the null field inside the equivalent surface currents replacing a perfectly conducting or homogeneous scatterer. The absorber, referred to as the filler, substantially reduces interactions between pairs of opposing basis/testing functions. The resultant moment matrix, formulated with the filler Green's function, is thinned accordingly. Moreover, most annulled elements need not be computed at all, thereby reducing substantially the matrix fill time. The lossy nature of the Green's function also serves to eliminate spurious internal resonances and thus makes the electric or magnetic field integral equation matrix well conditioned without resorting to a combined field integral equation.
AB - A three dimensional implementation of the recently introduced balanced electromagnetic absorber (BEMA) method is presented herein. In the BEMA, a balanced (Weston-type) absorber, characterized by both electric and magnetic loss mechanisms, is placed within the null field inside the equivalent surface currents replacing a perfectly conducting or homogeneous scatterer. The absorber, referred to as the filler, substantially reduces interactions between pairs of opposing basis/testing functions. The resultant moment matrix, formulated with the filler Green's function, is thinned accordingly. Moreover, most annulled elements need not be computed at all, thereby reducing substantially the matrix fill time. The lossy nature of the Green's function also serves to eliminate spurious internal resonances and thus makes the electric or magnetic field integral equation matrix well conditioned without resorting to a combined field integral equation.
KW - Electric Field Integral Equation
KW - Ill- and Well-Conditioning.
KW - Method of Moments
KW - Sparse Matrices
UR - http://www.scopus.com/inward/record.url?scp=85057362617&partnerID=8YFLogxK
U2 - 10.1109/ICEAA.2018.8520533
DO - 10.1109/ICEAA.2018.8520533
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AN - SCOPUS:85057362617
T3 - Proceedings of the 2018 20th International Conference on Electromagnetics in Advanced Applications, ICEAA 2018
SP - 292
EP - 295
BT - Proceedings of the 2018 20th International Conference on Electromagnetics in Advanced Applications, ICEAA 2018
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 10 September 2018 through 14 September 2018
ER -