Table 1.
Example 1 (TM case): Diffraction Efficiency of the Zeroth Reflected Order () Calculated by the FMM, the WEM (bior3.5), and the WEM (bior5.5)
| FMM | | | WEM(B3.5) | | | WEM(B5.5) |
---|
57 | 0.8456 | 56 | 50 | 0.84864 | 53 | 50 | 0.84835 |
81 | 0.8468 | 81 | 50 | 0.82935 | 81 | 50 | 0.84793 |
121 | 0.8475 | 120 | 50 | 0.84846 | 116 | 50 | 0.84841 |
141 | 0.8477 | 140 | 50 | 0.84841 | 140 | 50 | 0.84844 |
161 | 0.8478 | 160 | 50 | 0.84844 | 160 | 60 | 0.84835 |
249 | 0.8481 | 248 | 69 | 0.84846 | 244 | 85 | 0.84848 |
321 | 0.8482 | 321 | 72 | 0.84835 | 321 | 85 | 0.84846 |
371 | 0.8482 | 370 | 78 | 0.84851 | 370 | 87 | 0.84845 |
441 | 0.8483 | 440 | 79 | 0.84845 | 440 | 105 | 0.84847 |
505 | 0.8483 | 504 | 117 | 0.84848 | 500 | 151 | 0.84848 |
Table 2.
Example 1 (TE case): Diffraction Efficiency of the Minus-First Reflected Order () Calculated by the FMM, the WEM (bior3.5), and the WEM (bior5.5)
| FMM | | | WEM(B3.5) | | | WEM(B5.5) |
---|
57 | 0.735908 | 56 | 45 | 0.736985 | 53 | 45 | 0.734821 |
81 | 0.734852 | 8 | 45 | 0.731422 | 81 | 45 | 0.734765 |
121 | 0.734452 | 120 | 50 | 0.734337 | 116 | 50 | 0.734284 |
141 | 0.734388 | 140 | 54 | 0.734332 | 140 | 50 | 0.734284 |
161 | 0.734352 | 160 | 58 | 0.734343 | 160 | 50 | 0.734283 |
249 | 0.734299 | 248 | 90 | 0.734280 | 244 | 95 | 0.734279 |
321 | 0.734288 | 321 | 90 | 0.734280 | 321 | 100 | 0.734279 |
371 | 0.734285 | 370 | 90 | 0.734279 | 370 | 98 | 0.734279 |
441 | 0.734282 | 440 | 120 | 0.734279 | 440 | 110 | 0.734279 |
505 | 0.734281 | 504 | 150 | 0.734279 | 500 | 170 | 0.734279 |
Table 3.
Example 2 (TM case): Diffraction Efficiency of the Zeroth Reflected Order () Calculated by the FMM, the WEM (bior3.5), and the WEM (bior5.5)
| FMM | | | WEM(B3.5) | | | WEM(B5.5) |
---|
57 | 0.549665 | 56 | 50 | 0.55035 | 53 | 52 | 0.55009 |
81 | 0.550025 | 8 | 50 | 0.55046 | 81 | 51 | 0.54991 |
121 | 0.550153 | 120 | 52 | 0.55032 | 116 | 51 | 0.55039 |
141 | 0.550173 | 140 | 51 | 0.55041 | 140 | 51 | 0.55036 |
161 | 0.550184 | 160 | 50 | 0.55029 | 160 | 51 | 0.55038 |
249 | 0.550199 | 248 | 73 | 0.55026 | 244 | 89 | 0.55024 |
321 | 0.550202 | 321 | 71 | 0.55029 | 321 | 93 | 0.55024 |
371 | 0.550203 | 370 | 97 | 0.55024 | 370 | 93 | 0.55023 |
441 | 0.550204 | 440 | 104 | 0.54994 | 440 | 119 | 0.55024 |
505 | 0.550204 | 504 | 127 | 0.55023 | 500 | 165 | 0.55021 |
Table 4.
Example 2 (TE case): Diffraction Efficiency of the Minus-First Reflected Order () Calculated by the FMM, the WEM (bior3.5), and the WEM (bior5.5)
| FMM | | | WEM(B3.5) | | | WEM(B5.5) |
---|
57 | 0.165678 | 56 | 45 | 0.165633 | 53 | 45 | 0.165649 |
81 | 0.165656 | 8 | 45 | 0.165543 | 81 | 45 | 0.165662 |
121 | 0.165647 | 120 | 50 | 0.165643 | 116 | 50 | 0.165643 |
141 | 0.165646 | 140 | 54 | 0.165643 | 140 | 50 | 0.165643 |
161 | 0.165645 | 160 | 58 | 0.165644 | 160 | 50 | 0.165642 |
249 | 0.165644 | 248 | 90 | 0.165644 | 244 | 95 | 0.165644 |
321 | 0.165644 | 321 | 90 | 0.165644 | 321 | 100 | 0.165644 |
Table 5.
Example 3 (TM case): Diffraction Efficiency of the Zeroth Reflected Order () Calculated by the FMM, the WEM (bior3.5), and the WEM (bior5.5)
| FMM | | | WEM(B3.5) | | | WEM(B5.5) |
---|
57 | 0.8894 | 56 | 50 | 0.89293 | 53 | 53 | 0.89306 |
81 | 0.8935 | 81 | 50 | 0.86845 | 81 | 50 | 0.89229 |
121 | 0.8666 | 120 | 50 | 0.89294 | 116 | 50 | 0.89291 |
141 | 0.8938 | 140 | 50 | 0.89290 | 140 | 50 | 0.89293 |
161 | 0.8943 | 160 | 50 | 0.89294 | 160 | 50 | 0.89299 |
249 | 0.8929 | 248 | 69 | 0.89294 | 244 | 85 | 0.89296 |
321 | 0.8928 | 321 | 72 | 0.89285 | 321 | 85 | 0.89295 |
371 | 0.8930 | 370 | 78 | 0.89300 | 370 | 87 | 0.89295 |
441 | 0.8919 | 440 | 79 | 0.89294 | 440 | 87 | 0.89302 |
505 | 0.8925 | 504 | 117 | 0.89298 | 500 | 157 | 0.89298 |
Table 6.
Example 3 (TE case): Diffraction Efficiency of the Minus-First Reflected Order () Calculated by the FMM, the WEM (bior3.5), and the WEM (bior5.5)
| FMM | | | WEM(B3.5) | | | WEM(B5.5) |
---|
57 | 0.85108 | 56 | 45 | 0.853143 | 53 | 45 | 0.849917 |
81 | 0.84972 | 8 | 45 | 0.845036 | 81 | 45 | 0.849907 |
121 | 0.84921 | 120 | 50 | 0.849082 | 116 | 50 | 0.848993 |
141 | 0.84913 | 140 | 54 | 0.849076 | 140 | 50 | 0.848992 |
161 | 0.84908 | 160 | 58 | 0.849095 | 160 | 50 | 0.848990 |
249 | 0.84901 | 248 | 90 | 0.848987 | 244 | 95 | 0.848986 |
321 | 0.84900 | 321 | 90 | 0.848988 | 321 | 100 | 0.848986 |
371 | 0.84899 | 370 | 90 | 0.848986 | 370 | 98 | 0.848986 |
Table 7.
Matrix Size of Different Methods for Four Correct Digits in Examples 1 and 3
| MMGE | PSMM(f) | WEM |
---|
Example 1 (TM) | 16 | 162 | 244 |
Example 1 (TE) | 20 | 42 | 116 |
Example 3 (TM) | 12 | 182 | 160 |
Example 3 (TE) | 20 | 62 | 116 |