Figure 3

\(\mathscr{P}\mathscr{T}\)-symmetric potential: (a) \(\mathbb {R}e(\tilde{V}_+(x))\) and \(\mathbb {I}m(\tilde{V}_+(x))\) vs. \(\xi\) and (b) \(\mathbb {R}e(\tilde{V}_+(x))\) and \(\mathbb {I}m(\tilde{V}_+(x))\) vs. \(\eta\).

\(\mathscr{P}\mathscr{T}\)-symmetric potential: (a) \(\mathbb {R}e(\tilde{V}_+(x))\) and \(\mathbb {I}m(\tilde{V}_+(x))\) vs. \(\xi\) and (b) \(\mathbb {R}e(\tilde{V}_+(x))\) and \(\mathbb {I}m(\tilde{V}_+(x))\) vs. \(\eta\).