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An exact Dyson equation for averaged over electromagnetic crystal unit cell propagating total wave electric field is
derived, with supposing the incident wave electric field to have the Floquet property. The mass operator related to
periodic structure effective tensor dielectric permittivity is written as double Fourier transform from electric field Tscattering
operator of the structure unit cell. The Lippmann-Swinger equation for the unit cell T-scattering operator,
written in terms of the unit cell T-scattering operator in free space and the electric field lattice tensor Green function
interaction part, is resolved by quasi-separable method. This recently presented quasi-separable approach to unit cell Tscattering
operator enables one to consider unit cell containing several particles, with coupling between them directly
inside the cell as well as through the structure via above lattice Green function interaction part. The obtained quasiseparable
unit cell T-scattering operator is applied to study double diamagnetic-paramagnetic narrow peak in artificial
periodical material with unit cell including the coupled plasmonic particles. Actually this magnetic phenomenon is
appeared as combination result of space-group resonance between two small dielectric spheres and plasmonic resonance
inside a single sphere. Studying the magnetic response of disordered media, we use Dyson self-consistent exact equation
for ensemble averaged wave electric field inside dense discrete random media, with a random mass operator having been
put under averaging sign. The random mass operator was written in terms of particles’ correlations functions of all orders
and particles’ clusters’ T-scattering operators. We discuss comparison between the unit cell T-scattering operator of
periodic discrete structure and a cluster T-scattering operator of random discrete structure and consider the above double
diamagnetic–paramagnetic peak also in random discrete structure of coupled small plasmonic dielectric spherical
particles.
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