Table 2 Numerical results for the far-field pattern \(u_{\infty }(d)\) with \(k = 5\)
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 | 2.3166E−2 | – | – | 1.0459E−2 | – | – |
64 | 2.7547E−3 | 8.4096 | 1.6118E−4 | 1.2172E−3 | 8.5930 | 1.0312E−4 |
128 | 3.4001E−4 | 8.1017 | 4.9395E−6 | 1.5062E−4 | 8.0808 | 1.7397E−6 |
256 | 4.1964E−5 | 8.1024 | 6.1389E−7 | 1.8663E−5 | 8.0707 | 1.8853E−7 |