APPLICATION OF QUASI MONTE CARLO INTEGRATION TECHNIQUE IN EM SCATTERING FROM FINITE CYLINDERS

Mrinal Mishra, Nisha Gupta
2009 Progress In Electromagnetics Research Letters  
In this work, a Quasi Monte Carlo (QMC) Integration Technique using Halton Sequence is proposed for the Electric Field Integral Equation (EFIE) in the Method of Moments (MoM) solution for scattering problems. It is found that the Halton Sequence used in QMC integration scheme is capable of handling the singularity issue in the EFIE automatically and at the same time provides solution to the scattering problems very easily. Finally the proposed technique is applied to solve the scattering
more » ... e scattering problem from a finite cylinder employing the entire domain basis function expansions. The results obtained show a good agreement between the proposed and conventional technique. Corresponding author: N. Gupta (ngupta@bitmesra.ac.in). From the geometry of the problem as shown in Figure 1 , it is clear that a) J φ is antisymmetric with respect to the variables φ and z , i.e., z ) . Also, J φ will show diverging effect at the edges z = z A and z = z B . b) J z is symmetric with respect to the variables φ and z , i.e., z ) . Also, J φ will show diverging effect at the edges z = z A and z = z B . Also, J z is zero at the edges z = z A and z = z B , i.e., J z (φ , z A ) = J z (φ , z B ) = 0. Keeping the above facts in mind, the basis functions taken are:
doi:10.2528/pierl09050806 fatcat:mix7dzaltjfvnpon7am3gapmky