DOI: 10.1007/s00340-002-1006-5
Appl. Phys. B 75, 591–594 (2002)
Rapid communication Lasers and Optics
Applied Physics B
s. astilean
1,2, ✉
w.l. barnes
1
Quantum efficiency and the photonic
control of molecular fluorescence
in the solid state
1
G13 Thin Film Photonics, School of Physics, University of Exeter, EX4 4QL, UK
2
Optics and Spectroscopy Department, Babes-Bolyai University, 3400 Cluj-Napoca, Romania
Received: 31 May 2002/Revised version: 27 June 2002
Published online: 25 October 2002 • © Springer-Verlag 2002
ABSTRACT We investigate the role of quantum efficiency in determining the extent
to which the local photonic environment may alter the spontaneous emission rate
of organic dye molecules with broad luminescence spectra. Comparison of theory
with experimental results shows that the quantum efficiency is a key determining fac-
tor in such control, low quantum efficiencies leading to poor control. These results
help establish a firm basis for characterising near-fields in nano-optics and controlling
fluorescing species.
PACS 78.67.-n; 32.70.Cs; 85.60.Jb
1 Introduction
The spontaneous emission of
light by an emitter is not an intrinsic
property of the emitter; rather, it de-
pends on the local optical density of
states or photonic mode density (PMD)
into which photons produced by spon-
taneous emission may be released. The
pioneering work of Drexhage et al. [1]
600 650 700 750
4
3
2
1
b a
Fluorescence Intensity [au]
Wavelenght [nm]
FIGURE 1 Emission spectra of the two dyes used, R700 (a) and DiD (b), together with the schematic
of the Drexhage sample geometry used in this work: 1, dye sub-monolayer; 2, polystyrene spacer; 3,
silver mirror; and 4, silica substrate. (The sharp peak at 633 nm is the He-Ne laser excitation line)
✉ Fax: +44-1392/264-111, E-mail: S. Astilean@exeter.ac.uk
demonstrated that the fluorescence life-
time of Eu
3+
ions in front of a metallic
mirror can be altered by varying the dis-
tance between the ions and the mirror
(see schematic shown in Fig. 1). This
type of control over spontaneous emis-
sion has been demonstrated for a wide
range of emitters, ranging from quan-
tum dots [2] to Rydberg atoms [3]. In
the Drexhage geometry, the mirror pro-
duces a reflected field which acts to
drive the dipole moment associated with
the emission. If the reflected field is in
phase with the source then emission is
enhanced; if it is out of phase, emission
is inhibited.
The effect of the reflected field on
the spontaneous emission rate can be
written as [4, 5],
Γ
Γ
0
= (1 - q) + q
u=∞
u=0
I(u ) d u (1)
where Γ is the modified spontaneous
emission rate and Γ
0
is the emission rate
in the absence of boundaries. The vari-
able u is the normalised in-plane wave
vector: the normalisation is with respect
to the wave vector a photon (a plane
wave) would have in the medium in
which the emitter is embedded. The in-
trinsic quantum efficiency of the emitter
is given by q, whilst the integrand I(u )
is the power dissipated by the emitter
as a function of the normalised in-plane
wave vector. The (1 - q) term in the
equation corresponds to non-radiative
decay and is assumed to be indepen-
dent of the local optical environment.
The second term encompasses the mod-
ification to the lifetime brought about by
the local optical environment. It is clear
from the equation above that theory pre-
dicts that the extent of such modifica-
tions is linearly dependent on the quan-
tum efficiency q. This dependence has
not explicitly been demonstrated before
and is the focus of this communication.
There are at least two reasons why it
is important to understand the role the
quantum efficiency plays. Firstly, the
increasing interest in nano-optics and
scanning near-field optical microscopy
demands an ability to quantitatively