Yao Haiying, Nie Zaiping . THE ACCURATE INTEGRATION METHOD OF SINGULARITY INTEGRATION FOR THREE DIMENSIONAL VECTOR FIELD SCATTERING[J]. Journal of Electronics & Information Technology, 2000, 22(3): 471-477.
Citation:
Yao Haiying, Nie Zaiping . THE ACCURATE INTEGRATION METHOD OF SINGULARITY INTEGRATION FOR THREE DIMENSIONAL VECTOR FIELD SCATTERING[J]. Journal of Electronics & Information Technology, 2000, 22(3): 471-477.
Yao Haiying, Nie Zaiping . THE ACCURATE INTEGRATION METHOD OF SINGULARITY INTEGRATION FOR THREE DIMENSIONAL VECTOR FIELD SCATTERING[J]. Journal of Electronics & Information Technology, 2000, 22(3): 471-477.
Citation:
Yao Haiying, Nie Zaiping . THE ACCURATE INTEGRATION METHOD OF SINGULARITY INTEGRATION FOR THREE DIMENSIONAL VECTOR FIELD SCATTERING[J]. Journal of Electronics & Information Technology, 2000, 22(3): 471-477.
When three dimensional vector scattering is analyzed by integral equation and the moment method(MM)or the fast multipole method(FMM)，the singular integrand will be done，If it is calculated by Gaussian integration directly,the accuracy will be very poor.In order to get an accurate result，this paper provides a method of integral domain division,which divides the integral domain into several parts with one of them containing the singularity.In the singular part,an analytic result can be derived by simplifying the integral function,replacing the variables,of adding and subtracing a sinlar term．The other can be calculated by Gaussion integration directly.Numerical results for RCS of a corner-reflector antenna and a conducting sphere calculated by this method are in reasonable agereement with that in the references．
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