  To achieve optoelectronic devices with high resolution and efficiency, there
is a pressing need for optical structural units that possess an ultrasmall
footprint yet exhibit strong controllability in both the frequency and spatial
domains. For dielectric nanoparticles, the overlap of electric and magnetic
dipole moments can scatter light completely forward or backward, which is
called Kerker theory. This effect can expand to any multipoles and any
directions, re-named as generalized Kerker effect, and realize controllable
light manipulation at full space and full spectrum using well-designed
dielectric structures. However, the complex situations of multipole couplings
make it difficult to achieve structural design. Here, generative artificial
intelligence (AI) is utilized to facilitate multi-objective-oriented structural
design, wherein we leverage the concept of "combined spectra" that consider
both spectra and direction ratios as labels. The proposed generative
adversarial network (GAN) is named as DDGAN (double-discriminator GAN) which
discriminates both images and spectral labels. Using trained networks, we
achieve the simultaneous design for scattering color and directivities, RGB
color routers, as well as narrowband light routers. Notably, all generated
structures possess a footprint less than 600x600 nm indicating their potential
applications in optoelectronic devices with ultrahigh resolution.
