Figure 7

Results regarding the two-layered cylinder with diameters \(d_{s,\text {real}} = (50\, \upmu \hbox {m}, d_{2,\text {real}})\) under variation of the imaginary part \({\text {Im}}(n_2) = \kappa _2\) of the refractive index \(n_2\) of the outer layer. (left) The numbers \(N_{\min }\) of found local minima of the energy landscape formed by \(R(\vec {d})\). For various outer layer diameters \(d_{2,\text {real}}\), the curves could be brought into agreement by scaling the ordinate axis according to Eq. (3) with the scaling parameter \(b = 1.26(2)\). (left, inset) The unscaled data, the lines are to guide the eyes only. (right) The value \(\kappa _{2,\text {crit}}\) beyond which the number of found local minima attained the minimum value, which is here seven due to the value of the diameter of the inner layer, plotted as a function of the outer layer diameter \(d_{\text {2,real}}\). Once again, a power-law dependence according to Eq. (2) could be established. (right, inset) The data on a double-logarithmic scale.