Table 1. Optimization of the invisibility of AlAs, TlBr and GaAs nanowires by multi-shell structures (silicon and fused-silica). The red numbers indicate repeated values which do not improve the optimization process as compared to previously found results. The green numbers represent the optimized SCS and size parameters. Adding more layers to the optimised shells does not reduce the SCS any further. The core radii R₁ are chosen based on Fig. 2 to have the maximum SCS without dielectric shells. The superscript ‘§’ indicates the bare core while ‘^†’ and ‘^‡’ indicate the shells' sequence starting with silicon and fused-silica, respectively.

Core	Config.	SCS	R1	R2	R3	R4	R5
	1§	2.575	303
	2†	0.05	303	431
	2‡	2.575	303	303
	3†	0.05	303	431	431
AlAs	3‡	0.036	303	309	432
	4†	0.033	303	346	355	433
	4‡	0.036	303	309	432	432
	5†	0.033	303	346	355	433	433
	5‡	0.033	303	303	346	355	433
	1§	2.988	369
	2†	0.359	369	496
	2‡	2.988	369	369
	3†	0.359	369	496	496
TlBr	3‡	0.181	369	392	503
	4†	0.170	369	402	426	504
	4‡	0.181	369	392	503	503
	5†	0.170	369	402	426	504	504
	5‡	0.170	369	369	402	426	504
	1§	2.353	261
	2†	0.076	261	381
GaAs	2‡	2.353	261	261
	3†	0.076	261	381	381
	3‡	0.076	261	261	381