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Journal of Communications Technology and Electronics

Dimensional magnetic resonances in nanostructure systems

O. N. Gadomskiĭ, Alexander Sergeevich Shalin

Published Feb 1, 2007• 0 citations
Publisher

Abstract

It is shown that magnetic interaction of closely spaced atoms is an electromagnetic field leads to the formation of dimensional magnetic resonances with small widths and frequencies that differ considerably from the frequency of the magnetic resonance of an isolated atom and depend strongly on the interatomic distance and polarization of the external field. The interactions between two identical atoms and between two different atoms are considered with allowance for spin and orbital quantum transitions. Dimensional magnetic resonances in a diatomic nanostructure system are studied on the basis of a non-perturbation-theory-based solution to a system of equations for the field and atomic variables.

DOI
10.1134/s1064226907020106

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It is shown that magnetic interaction of closely spaced atoms is an electromagnetic field leads to the formation of dimensional magnetic resonances with small widths and frequencies that differ considerably from the frequency of the magnetic resonance of an isolated atom and depend strongly on the interatomic distance and polarization of the external field. The interactions between two identical atoms and between two different atoms are considered with allowance for spin and orbital quantum transitions. Dimensional magnetic resonances in a diatomic nanostructure system are studied on the basis of a non-perturbation-theory-based solution to a system of equations for the field and atomic variables.
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The existence of linear nonstationary optical resonances in a diatomic nanostructural object with a dipole-dipole atomic interaction has been proved. A new solution to the joint system of modified Bloch optical equations and nonlocal field equations is obtained for time intervals much shorter than the times of phase and energy relaxation. Formulas for effective polarizabilities of the object’s atoms, which have a set of dimensional resonances, are derived. The frequencies of these resonances significantly differ from the eigenfrequencies of the object’s atoms, and their properties depend on the interatomic distance, light-pulse duration, initial atomic inversions, and the orientation of the object’s axis relative to the direction of incidence of the external light wave.
A nanostructural object consisting of two atoms is proven to contain two or four dimensional resonances depending on whether these atoms are identical or different. Each of the atoms is characterized by linear isotropic polarizability and contains one isolated resonance. The frequency of the dimensional resonances considerably differs from the resonance frequencies of the isolated atoms, and the effective resonance polarizabilities of the atoms in the nanostructure approximately coincide with the resonance values of polarizabilities of the isolated atoms. It is shown that, in the nanostructure consisting of two different atoms, two of four resonances have a negative dispersion. It is also shown that the nanostructural object has an induced anisotropy in the case of a fixed position of the object axis relative to the direction of incidence of the external wave.
It has been shown that nonlinear near-field optical resonances occur in diatomic nanostructures consisting of identical or different two-level atoms in the presence of a radiation field when the dipole-dipole interaction is taken into account. The frequencies of these resonances depend strongly on the intensity of the external optical radiation, on the initial conditions, on the polarization of the external field with respect to the axis of the nanostructure, and on the interatomic distance. The interatomic interaction is taken into account beyond perturbation theory. For this reason, the effective polarizabilities of the atoms of the nanostructure are expressed in terms of the polynomials of both the interatomic distance and the electric field strength of the external optical wave. A “falling tower” effect that is caused by the nonlinear behavior of the local dipole moments of atoms in the nanostructure is predicted.
For the combined system of equations of field and atomic variables for two different atoms in the ground state, a stationary solution is obtained, which takes into account their dipole-dipole interaction in the field of external emission. Atoms are treated as linear dipole oscillators with different natural frequencies and linear polarizabilities. Formulas for effective polarizabilities of atoms in a nanostructure object, whose dispersion properties substantially differ from the dispersion properties of isolated atoms in the region of their natural resonances, are obtained. It is found that a nanostructure object consisting of two different atoms has four dimensional resonances, whose frequencies strongly depend on the interatomic separation and the object orientation with respect to the direction of propagation of an external wave. Using interference from the coherent field of dipoles of a small object with a reference coherent wave in a certain plane of observation points in the wave region far from a small object, an optical hologram of a small object is obtained. It is shown by numerical experiments that a small object forms interference fringes with good contrast, which makes possible the use of optical quasi-resonant emission for the development of a nondestructive method of study of small objects.
A new solution to modified Bloch equations for a diatomic quantum system consisting of two identical interacting atoms in a field of high-intensity continuous radiation is obtained. On the basis of this solution, the existence of nonlinear sized resonances whose properties strongly depend on the atomic spacing, on the polarization of the external field of radiation, and on the initial inversions of atoms constituting a nanostructural object is shown. Dispersion dependences of induced dipole moments and inversions of atoms of the object are investigated theoretically in the region of sized resonances for various irradiation conditions.