Electronic multipoles in second harmonic generation and neutron scattering

Nonlinear optics, and particularly second harmonic generation (SHG), is increasingly used in many modern disciplines from material characterization physical sciences to bioimaging medicine optical signal processing information technology. We present a theoretical analysis yielding strong estimate of the energy-integrated SHG response. Compact spherical multipoles are provided for corresponding natural magnetic circular dichroic signals. Like symmetry requirements time space traced amplitude neutron scattering, which includes all axial polar (Dirac) contributions. Our method working terms of, now standard, electronic Racah algebra, with full implementation discrete symmetries, could be use variety other probes matter.