International Journal of Antennas and Propagation

Research Article

Embedding Approach to Modeling Electromagnetic Fields in a Complex Two-Dimensional Environment

Table 2

Comparison of the total number of CGFFT iterations as a function of N and K for the conventional (i.e., incident field initial guess) and “marching on in angle” approaches. The relative reduction in the number of iterations, the CGFFT stop criterium (NMRS CGFFT), and the resulting NRMSE for on the grid also are indicated.
N163264128256512
Muscle1
K = 16No marching92108112136  
Marching96111127139  
Reduction (%)−4———  
K = 32No marching188220224280312344
Marching151163216256267320
Reduction (%)202649147
K = 64No marching380444448568632696
Marching176200325390460518
Reduction (%)545527312726
 NRMSE CGFFT2 × 10−310−32 × 10−45 × 10−510−52 × 10−6
 NRMSE 5.9 × 10−31.7 × 10−34.4 × 10−41.1 × 10−42.8 × 10−57.1 × 10−6
Leg2
K = 32No marching104312721571   
Marching78010151406   
Reduction (%)252011   
K = 64No marching209525553170348937553981
Marching87812161896267332393607
Reduction (%)58524023149
K = 128No marching419951126352 7533 
Marching185624663135 4596 
Reduction (%)565249 39 
 NRMSE CGFFT10−25 × 10−310−32 × 10−45 × 10−510−5
 NRMSE 1.1 × 10−13.2 × 10−27.9 × 10−31.9 × 10−35.1 × 10−41.2 × 10−4
Muscle4
K = 64No marching7008321128137616481752
Marching6197611032130215631678
Reduction (%)12991054
K = 128No marching14041664225627603312 
Marching791911153120002586 
Reduction (%)4445322822 
K = 256No marching2804332845125536  
Marching1034110316792565  
Reduction (%)63676354  
 NRMSE CGFFT2 × 10−210−22 × 10−35 × 10−410−45 × 10−5
 NRMSE 6.4 × 10−22.6 × 10−26.7 × 10−31.7 × 10−34.5 × 10−41.3 × 10−4