Vv. Klimov et Vs. Letokhov, RESONANCE INTERACTION BETWEEN 2 ATOMIC DIPOLES SEPARATED BY THE SURFACE OF A DIELECTRIC NANOSPHERE, Physical review. A, 58(4), 1998, pp. 3235-3247
Studied within the framework of both classical and quantum-mechanical
approaches is the resonance interaction between two atomic dipoles one
of which is located inside a dielectric microsphere and the other nea
r its outer surface. The dispersion equation of this system is found.
The analysis of this equation in a quasistatic approximation has shown
that the behavior of the eigenfrequencies depends in a complex manner
on the parameters of the system, and that exact resonance can be achi
eved, provided the parameters are suitably selected. Based on the solu
tions of the above equation, relationships are found between the energ
y-transfer rate and the system parameters. It is demonstrated that as
the inside atom approaches the surface of the microsphere, resonance e
xcitation transfer from one atom to the other can take place. Similar
results are obtained when using the quantum-mechanical density matrix
to define the atomic interaction. The results obtained can be of use i
n implementing selective microscopy with a nanometer-high spatial reso
lution. [1050-2947(98)12009-7].