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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>CEUR Workshop Proceedings</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.18287/1613-0073-2016-1638-111-116</article-id>
      <title-group>
        <article-title>LASER TRAPPING BASED ON PHOTOPHORETIC FORCES USING A SPATIAL LIGHT MODULATOR</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>A.P. Porfirev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>A.S. Shipilov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Samara National Research University, Samara Russia Image Processing Systems Institute - Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2016</year>
      </pub-date>
      <volume>1638</volume>
      <fpage>111</fpage>
      <lpage>116</lpage>
      <abstract>
        <p>We demonstrate laser manipulation of light-absorbing particles in air using a spatial light modulator. By controlling the three-dimensional distribution of the generated optical field, we demonstrate how to control the position of individual trapped particles dynamically and independently. The transfer of a trapped particle from one optical trap to another is shown.</p>
      </abstract>
      <kwd-group>
        <kwd>laser trapping</kwd>
        <kwd>photophoresis</kwd>
        <kwd>photophoretic forces</kwd>
        <kwd>spatial light modulator</kwd>
        <kwd>light-absorbing particles</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Various primary biological aerosol particles, which include bacteria, fungal spores,
plant pollens, small fragments of plants or fungi, and secondary biological aerosol
particles, such as the particles formed by an ozone-initiated polymerization of
terpenes are potential carriers of a number of human or plants diseases (e.g., inhalation
anthrax) [
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1-3</xref>
        ]. Therefore there is a need to study their behavior and properties.
Currently, for the purpose of detection and analysis of biological aerosols various
optical methods, including microscopy and spectroscopy, are used [
        <xref ref-type="bibr" rid="ref4 ref5">4-5</xref>
        ]. Most of
these techniques have been developed for particles in air samples which passed
through the measuring device. There is a need for devices which could be used to
analyze individual aerosols in real time. In such cases, Raman spectroscopy would be
more informative. The key problem in the spectroscopy measurement for air-borne
particles is that there is a requirement to keep an analyzed particle stationary during
measurement. Therefore, methods in which the air sample is passed through a
measuring device are not suitable.
      </p>
      <p>
        In order to solve the problem of retaining particles, optical tweezers based on
photophoretic forces can be used [
        <xref ref-type="bibr" rid="ref6 ref7 ref8">6-8</xref>
        ]. Photophoretic forces are several orders of
magnitude greater than radiation pressure, so low-power lasers can be used to trap
lightabsorbing particles in gaseous media [
        <xref ref-type="bibr" rid="ref10 ref9">9, 10</xref>
        ]. The holographic optical tweezers
technique using spatial light modulators enables simultaneous parallel manipulation of a
variety of micro-objects [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. The optical tweezers technique permits movement of
the trapped objects in order to measure and dynamically carry out the change of the
samples.
      </p>
      <p>
        Thus, the combination of a spatial light modulator (for generation of multiple light
traps) and a spectroscopic measurement device (for spectral measurements) allows
parallel analysis of many aerosols trapped in the test volume. Using low-power lasers
and compact hyperspectral cameras [
        <xref ref-type="bibr" rid="ref12 ref13 ref14">12-14</xref>
        ], allows the creation of a compact device,
which will enable the analysis of samples in real time.
2
      </p>
      <p>
        Design method
In the case of a positive photophoresis, light-absorbing air-borne particles move away
from the light source, and in the case of negative photophoresis – move towards the
light source [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. Therefore, until recently it was thought impossible to carry out
three-dimensional laser trapping of light-absorbing particles in air with a single beam,
with a Gaussian intensity distribution. In [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], by means of theoretical explanation,
authors have shown that stable three-dimensional laser trapping becomes possible if
the trapped particles have a non-spherical shape.
      </p>
      <p>
        Laser trapping the light-absorbing particles in the air with a Hermite-Gaussian
TEM10 laser beam has been demonstrated previously [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. In this case, two light
peaks were generated in the focal plane of a focusing micro-objective. In each of
these peaks, we were able to capture a single particle.
      </p>
      <p>
        The "superposition method prisms and lenses," technique can be used to generate an
array of light traps [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. In this case, the transmission function of the diffractive
optical element (DOE) generating N light traps is the following:
T  x, y  nN1exp   k x22 fn y2   exp i xxn  yyn ,
where k  2  is the wavenumber, fn is a distance where nth trap is formed,
xn  2 , and yn  2 , are spatial frequencies of nth light trap (see Fig. 1).
As shown above, the transmission function of the element is complex. In the case of a
small number of generated light traps (for example, N  1..10 ), we can ignore the
amplitude of the transmission function and use a single phase-only element. With a
large number of generated traps, various methods of amplitude encoding can be used
to obtain the single phase-only element [
        <xref ref-type="bibr" rid="ref18 ref19">18, 19</xref>
        ]. Our research has shown that the best
method of forming the array of light traps is achieved by using a pseudo-random
modulation algorithm optimized for a spatial light modulator (SLM) [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ].
(1)
      </p>
      <p>Experimental investigation of laser trapping using a spatial
light modulator
In order to generate an arbitrary configuration of light traps, a spatial light modulator
PLUTO VIS was utilised. The experimental optical setup is shown in Fig. 2. The
output laser beam of solid-state laser (λ= 532 nm, with a maximum output power of
1500 mW) was expanded with a telescope composed of a micro-objective, MO1 (8×,
NA=0.2), and a lens, L1 (f1 = 350 mm) to illuminate the SLM. Then, lenses L2 and L3
with focal lengths f2 = 350 mm and f3 = 150 mm, respectively, formed an image of the
plane conjugated to the SLM display in the focal plane of the micro-objective MO2
(16×, NA=0.3) An airborne light-absorbing particle in a cuvette C was trapped in the
area of the focal point of a micro-objective. Observation of the particle trapping was
possible due to the scattered light recorded by the video camera, Cam (TOUPCAM
UHCCD00800KPA, 1024×768 pixels). The particles were imaged through a
microobjective, MO3 (8×, NA=0.2).</p>
      <p>
        In the experiments, the agglomeration of carbon particles was studied, the transverse
dimensions of which were in a range from a few to tens of micrometers. These
particles have a non-spherical shape, and therefore ideally suited for experiments of this
kind that has been shown in previous experiments [
        <xref ref-type="bibr" rid="ref10 ref16 ref21">10, 16, 21</xref>
        ].
      </p>
      <p>
        Figure 3 shows the experimental results of how the position of each of the trapped
particles using a spatial light modulator can be controlled dynamically. Changing the
phase transmission function calculated in accordance with Eq. (1), we can change the
position of the formed intensity peaks independently of each other. Thus, in these
experiments, we move one of the formed three light traps along the z axis. The
particles trapped in the vicinity of the trap move behind them. The velocity the trapped
particle is 1.8±0.1μm/s. Thus, SLMs may be used to dynamically control the position
of trapped air-borne light-absorbing micro-particles, which is analogous to the optical
manipulation of dielectric micro-objects in a liquid [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. The difference is only in the
trapping mechanism: (1) in the case of dielectric particles in the liquid, gradient force
and scattering force play a key role, (2) in the case of light-absorbing particles in the
air, photophoretic forces dominate.
      </p>
      <p>Fig. 2. Experimental optical setup: L is a solid-state laser, MO1 is a micro-objective (8×,
NA = 0.2), MO2 is a micro-objective (8×, NA = 0.2), L1, L2, and L3 are the lenses with focal
lengths f1 = 250 mm, f2 = 350 mm, and f3 = 150 mm, respectively, MO2 is a microobjective
(16×, NA = 0.3), SLM is a spatial light modulator (PLUTO Spatial Light Modulator, 1920 ×
1080 pixel resolution), CAM is a video camera (LOMO TC-1000), C is a cuvette with air-borne
light-absorbing particles
Fig. 3. Experiment on moving particles trapped in the various traps, independently of one
another. Black arrow marked the moving particles
Fig. 4. Sequential transfer the trapped particles from one light trap to another light trap. Dotted
outlines indicate "offline trap" solid contours - "online trap", the dotted arrow indicates the
direction of movement of the corresponding traps
Figure 4 shows the motion of particles that are consistently transferred from one
generated trap to another, and then to a third generated trap. To do this, we generated
three light traps and one of them held particles (trap #1). The trap #2 was generated
next to the trap #1 (see Fig. 4, frame 2). Then we "turned" the trap #1 “off”. After that
we "turned" trap #1 “off”, particles were captured in the trap #2. After that, we moved
the particle using the light trap #2. Similar operations were carried out to transfer
particles from the light trap #2 into the light trap #3 (see Fig. 4, frames 4-6) and then
to transfer particles from the light trap #3 into the light trap #1 (see Fig. 4, frames
79).</p>
      <p>
        Figure 5 shows the motion of particles trapped by a generated light trap. In this
experiment, we generated two light traps (#1 and #2 in Fig. 5). The distance between these
two light traps is about 30 μm. First, the particle was trapped by light trap #1. At that
moment, we started to decrease the energy used for the generating the light trap #1. At
the same time, energy used in generating light trap #2 was not changed. When the
energy of light trap #1 became equal to 50% of the energy of light trap #2, the trapped
particle left trap #1 and was trapped in the light trap #2. With decreasing energy of the
generated laser trap, photophoretic forces also decrease. After some time, gravity
acting on the trapped particle becomes greater than the photophoretic forces, and the
particle leaves the trapping region. The dimensions of trapping region of the
generated traps are generally determined by the depth of focus [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ]. Based on the results
presented in Ref. [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] we can conclude that in this experiment the longitudinal
dimension of the trapping region is about 450 μm. As mentioned above, the distance
between the generated light traps is about 30 μm (along the propagation axis of the
beam). Therefore, when the trapped particle leaves trap #1, it does not settle at the
bottom of the cuvette, and enters into the trapping region of the trap #2 and is retained
there. Then we relocated the trap#2 down at a velocity of about 2.7±0.1μm/s.
The paper demonstrates the potential for dynamic control of light-absorbing particles
using a spatial light modulator. Using a light modulator made it possible to control the
position of the independent, individual traps formed, which increased flexibility in
manipulating the process. In addition, we demonstrated the potential of transfering
trapped particles from one trap to another by either "turning" one of the traps “off” or
by reducing trap energy.
      </p>
    </sec>
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