750
were freshly excised from a plant and mounted between two
cover glasses with some tap water. Quiet cells were directly
illuminated by the halogen lamp (“HAL” in Fig. 1a) to induce
or accelerate their cytoplasmic streaming. For confocal imag-
ing the chloroplasts were excited with the 488-nm line of the
argon-ion scanning laser and showed an autofluorescence de-
tected with a long-pass filter above 505 nm. Trapping of the
chloroplasts was done using a power of the optical tweezers
of about 100 mW to 200 mW. With this power no cell damage
was observed.
/1.25 (upper curve). The highest relative objective positions
at the stage position 10 mm are arbitrarily set to zero. With
increasing stage position (increasing distance between fiber
end and lens “L” in Fig. 1a) the objective position at max-
imum signal is nonlinearly shifted upward, meaning that the
focus of the optical tweezers is shifted downward twice the
distance of the objective shift due to reflection. Thus, mul-
tiplying the relative objective position in Fig. 2b by a factor
of 2 reveals the final calibration curve giving the translation-
stage position that maintains the focus position of the optical
tweezers as a function of the relative axial objective position.
Hence, a compensation of an objective motion to maintain the
relative axial focus position of the optical tweezers appears
possible over a z-distance of about 20 µm for the 100× ob-
jective and of about 50 µm for the 63× objective, restricted
by the travel length of the translation stage. Since different
objects are held at slightly different heights with respect to
the focus of the optical tweezers [19, 20], the zero point of
the calibration curve will finally be given at the stage position
where the center of a particular trapped object is placed in the
focal plane of the objective. The particular zero position can
be simply adjusted within the developed controlling program.
Besides this, we determined the power of the laser light
used for optical tweezers emerging from the objective as
a function of the stage position (see Sect. 1.2). Figure 2c
shows the power of the optical tweezers given in percent of
the laser-output power for the 100× objective (lower curve)
and the 63× objective (upper curve). Obviously, a linear rela-
tionship exists between the power of the optical tweezers and
the stage position, being maximum at the smallest distance
between the fiber end and the external lens. Thus, trapping ef-
ficiency decreases with increasing stage position, i.e., when
the focus of the optical tweezers is shifted downward.
Furthermore, to compensate the axial focal-plane motion,
the actual z-position of the objective has to be available with-
out delay at any time. Otherwise the trapped object is still
moving with the focus of the optical tweezers when the next
optical section is scanned during z-sectioning. We could cal-
culate the actual relative objective position from the signals
controlling the motor that shifts the microscope objective (for
more details see Sect. 1.1 and Fig. 1b). Although translation-
stage motion starts almost immediately with axial objective
motion (after about 20 ms), the final stage position is reached
some 100 ms after objective positioning is completed. Since
this time lag is situated in the time lag between the record-
ing of two optical slices during z-sectioning, it has no visible
effect.
1.5 AR42J cells
AR42J cells (ATCC, Manasses, USA) were cultivated at
37 ◦C and 5% CO2 in RPMI medium with 10% FCS
(SIGMA, Deisenhofen, Germany). For microscopy, cells
grew on cover glasses under the same conditions for two
up to five days. Staining was performed with cSNARF-AM
(Molecular Probes via Mo Bi Tec, Göttingen, Germany) at
a concentration of 10 µg/ml in RPMI medium without FCS.
After incubation over 5 to 15 min the cells were rinsed with
RPMI medium without FCS. Staining and microscopy were
performed in a thermostat (Bachofer, Reutlingen, Germany)
at 37 ◦C. Fluorescence was excited using the 488-nm and
543-nm lines of the scanning lasers. Emission was detected
with two band-pass filters (565–595 nm, 625–656 nm).
2 Results
2.1 Compensated motion of the focus of the optical tweezers
For the 3D imaging of objects fixed by optical tweezers we
started with the following approach: by varying the distance
between the fiber end fixed on the motorized translation stage
and lens “L”, by moving the fiber end along the optical axis
(see Sect. 1.1 and Fig. 1a for more details), the divergence
of the beam entering the back aperture of the objective is
changed. In this way the focus of the optical tweezers can be
effectively shifted perpendicular to the focal plane (along the
z-axis). This allows the compensation of an axial focal-plane
motion by a simultaneous reverse motion of the focus of the
optical tweezers in such a way that a trapped object maintains
positioned on its intended position in the specimen.
For the realization of this approach it is necessary to deter-
mine a calibration curve giving the translation-stage position
as a function of the axial objective position in such a way
as to maintain the trapping position of the optical tweezers
when the objective is moved. This was done using a dielectric
mirror highly reflective at 1064 nm as a specimen reflecting
the laser light used for optical tweezers (see Sect. 1.2 and
Fig. 2a for more details). Here, using z-sectioning in laser
scanning mode the z-position of the objective showing the
optical section with the maximum intensity of the reflected
signal was determined for different stage positions with an
average accuracy of 250 nm. On these particular objective
positions the focus of the optical tweezers was situated in
the focal plane of the objective (see Fig. 2a: maximum sig-
nal). The results are displayed in Fig. 2b showing the stage
positions as a function of the determined relative objective
positions at maximum signal intensity for the objectives Plan-
Neofluar 100 × /1.3 (lower curve) and Plan-Neofluar 63 ×
2.2 Test of the compensation
Surface-stained microspheres with a diameter of 15 µm were
used as test objects. When a drop of these polystyrene beads
suspended in distilled water was put on a cover glass, the
beads dropped onto the surface within a few minutes. It
turned out to be hard to trap them once they were situated on
the cover-glass surface. So they were trapped by turning on
the optical tweezers when a bead, moving to the cover glass,
reached a position shortly under the final trapping position.
Above this position the bead was pushed away as radiation
pressure countered the restoring force from the intensity gra-
dient. Due to the surface stain (see Sect. 1.3), these beads,