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Polarization TE TE TE TM TM TM
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Table 5.2.2 Comparison of CPU based on PBTG-BMIAjCAG and single grid method (1 realization and L = 100 wavelength).
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b) Comparison Between a PBTG Combined with BMIA/CAG and a Single Dense Grid
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In Figs. 5.2.4a and 5.2.4b, we compare the results of the bistatic scattering coefficients respectively obtained from a single realization of rough surface and averaged over 20 realizations of rough surfaces using SDG and PBTGBMIAjCAG for a TE wave. For PBTG-BMIAjCAG, the two grids are used with neg = 10 and ndg = 30. The results obtained by PBTG-BMIAjCAG are almost identical to the SDG results. In Figs. 5.2.5a and 5.2.5b, the comparisons are made for a TM wave which also show that PBTG-BMIAjCAG can give almost the same results as SDG. The comparisons of the surface fields between SDG and PBTG-BMIAjCAG for TE and TM cases are shown in Figs. 5.2.6a and 5.2.6b, respectively. The agreements are good. The emissivities calculated by SDG and PBTG-BMIAjCAG are compared in Table 5.2.1. The emissivities calculated by PBTG-BMIAjCAG are very close to those of SDG for TE and TM waves. The difference of emissivities averaged over 20 realizations between SDG and PBTG-BMIAjCAG is -0.007889 for a TE wave and -0.002933 for a TM wave. This leads to maximum differences of 2.3667 K and 0.8799 K in brightness temperatures, respectively. We also compare the CPU between PBTG-BMIAjCAG, SDG, and SCG. In Table 5.2.2, we give the comparisons of the total CPU and CPU per iteration based on PBTG-BMIAjCAG and single grid methods for one realization. The total CPU of PBTG-BMIAjCAG is slightly larger that of SCG. But the CPU of PBTG-BMIAjCAG is still several times smaller than that of SDG.
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5 FAST METHODS FOR ROUGH SURFACE SCATTERING
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Figure 5.2.4 Comparison of the bistatic scattering coefficients between the single dense grid of 30 points per wavelength and the PBTG-BMIA/CAG with Tf = LA. TE wave, rms h = 0.5>", correlation length of I = 0.6>", dielectric constant of Er = 25 + i, surface length of L = 100).., and tapering parameter of 9 = L/4 at incidence angle of (Ji = 30 . (a) One realization, (b) 20 realizations.
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-SDGnd=30 - PBTG-BMIAICAG
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Figure 5.2.5 Comparison of the bistatic scattering coefficients between the single dense grid of 30 points per wavelength and the PBTG-BMIA/CAG with Tf = I>... TM wave, rms h = 0.5).., correlation length of I = 0.6).., dielectric constant of Er = 25 + i, surface length of L = 100>", and tapering parameter of 9 = L/4 at incidence angle of (Ji = 30 . (a) One realization, (b) 20 realizations.
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2.4 Bistatic Scattering Coefficient and Emissivity
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TM WAVE INCIDENCE
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Figure 5.2.6 Comparison of the surface fields between the single dense grid of 30 points per wavelength and the PBTG-BMIAICAG with Tf = 1.>-. rms h = 0.5'>-, correlation length of I = 0.6'>-, dielectric constant of Er = 25 + i, surface length of L = 100'>-, and tapering parameter of 9 = L I 4 at incidence angle of (Ji = 30 . (a) TE wave, (b) TM wave.
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Figure 5.2.7 Comparison of the bistatic scattering coefficients between the single dense grid of 20 points per wavelength and the PBTG-BMIAICAG with Tf = 1'>- for one realization. rms h = 0.3'>-, correlation length of I = 0.5'>-, dielectric constant of Er = 17 + i, surface length of L = 500'>-, and tapering parameter of 9 = LIS at incidence angle of (Ji = 30 . (a) TE wave, (b) TM wave.
5 FAST METHODS FOR ROUGH SURFACE SCATTERING
CPU Number of Incident PolariNumber of CPU surface angle iteratime zation Emissivity time (s) per unknowns iterations (mins) tions
20,000 20,000 20,000 20,000 20,000 20,000 20,000 20,000 30,000 30,000 30 30 30 30 85 85 85 85 85 85
Method SDG PBTG-BMIA/CAG SDG PBTG-BMIA/CAG SDG PBTG-BMIA/CAG SDG PBTG-BMIA/CAG PBTG-BMIA/CAG PBTG-BMIA/CAG