Biomedical Engineering Reference
In-Depth Information
Figure 4.14
(a) The ratio of the averaged over orientations radiative decay
rate of spontaneous emission of the “left” (
m
0
=−
0.1
d
0
) chiral molecule
and the radiative decay rate of spontaneous emission of the “right” (
m
0
=
+
0.1
d
0
) chiral molecule and (b) vice versa as a function of the real part
of permittivity (
ε
=
ε
+
i
0.1) and the real part of permeability (
μ
=
μ
+
=
i
0.1) of a sphere. The nanoparticle size
k
0
a
0.1, the chirality
χ
=
parameter
0.2. The molecule is placed in close vicinity to the surface
of the spherical nanoparticle (
r
0
→
a
). The white line shows the position of
thechiral-plasmonresonanceinthesphericalnanoparticle[see(4.47)].The
nanoparticle is placed in vacuum.
Fig. 4.14). We will present possible applications of this effect of
discrimination of the radiation of “right” and “left” enantiomers in
Section 4.5.
4.4 Radiation of a Chiral Molecule Near a Cluster of Two
Chiral Spherical Particles
Results obtained in the previous section do not exhaust all possible
geometries with chiral spherical nanoparticles. In practice, very
often, a chiral molecule can be located near a cluster of several
chiral particles. This problem is very complex and, despite of its
actuality, there are no works on this subject yet. Only the case of an
electricdipoleradiationnearaclusterofusual(nonchiral)spherical
or spheroidal particles is more orless studied [7, 26, 28, 38, 52].
In this section, we will partially fill this gap and consider the
influence of a cluster of two equal chiral spherical particles (i.e.,
chiral nanoantenna) on the radiation of a chiral molecule (see
also [31]). All analytical results will be obtained for an arbitrary
