Table 1 Numerical results for the far-field pattern \(u_{\infty }(d)\) with \(k = 1\)
From: On the numerical solutions of two-dimensional scattering problems for an open arc
n | \(\operatorname{Re}(e_{\infty }(d))\) | ratio | \(\operatorname{Re}(e^{E}_{\infty }(d))\) | \(\operatorname{Im}(e_{\infty }(d))\) | ratio | \(\operatorname{Im}(e^{E}_{\infty }(d))\) |
|---|---|---|---|---|---|---|
32 | 1.1017E−4 | – | – | 7.3137E−5 | – | – |
64 | 1.3733E−5 | 8.0220 | 4.3141E−8 | 9.0241E−6 | 8.1046 | 1.3488E−7 |
128 | 1.7245E−6 | 7.9642 | 8.8248E−9 | 1.1064E−6 | 8.1560 | 2.4662E−8 |
256 | 2.1803E−7 | 7.9094 | 2.8222E−9 | 1.2934E−7 | 8.5542 | 1.0240E−8 |