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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Workshop Proceedings</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.18287/1613-0073-2016</article-id>
      <title-group>
        <article-title>SUBWAVELENGTH GRATINGS FOR GENERATING AZIMUTHALLY POLARIZED BEAMS</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>S.S. Stafeev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>M.V. Kotlyar</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>L. O'Faolain</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>A.G. Nalimov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>V.V. Kotlyar</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Image Processing Systems Institute - Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences</institution>
          ,
          <addr-line>Samara</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Samara National Research University</institution>
          ,
          <addr-line>Samara</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>School of Physics &amp; Astronomy, University of St. Andrews</institution>
          ,
          <addr-line>Scotland</addr-line>
          ,
          <country country="UK">UK</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2016</year>
      </pub-date>
      <volume>1638</volume>
      <fpage>125</fpage>
      <lpage>131</lpage>
      <abstract>
        <p>We have experimentally investigated two binary subwavelength grating-miсropolarizers that transform linearly polarized light to the azimuthally polarized beam. The first miсropolarizer operates in reflective mode (for wavelength 532 nm) and was manufactured in a gold film. The second micropolarizer operates in transmitting mode (for wavelength 633 nm) and was manufactured in silicon.</p>
      </abstract>
      <kwd-group>
        <kwd>subwavelength grating</kwd>
        <kwd>cylindrical vector beam</kwd>
        <kwd>azimuthal polarization</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        A significant amount of scientific papers describes investigation of beams with
spatially non-homogeneous states of polarization [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. In recent years subwavelength
grating are used to obtain such beams. A subwavelength grating with properly chosen
height of relief could operate as a half- (or quarter-) wave plate; meanwhile, the
groove direction defines the spatial orientation of the plate [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>
        As the first publications to report on the fabrication of the gratings, we may denote
refs. [
        <xref ref-type="bibr" rid="ref3 ref4">3,4</xref>
        ], where a circularly polarized 10.6 μm light beam was converted into an
azimuthally polarized beam. The generation of a radially polarized light beam for a
subwavelength grating operating at a 1064 nm wavelength was discussed in ref. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. A
technique for fabricating a polarization converter in silicon for wavelengths ranging
from 1030 to 1060 nm was proposed in ref. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Transmitting micropolarizers for the
visible range were also investigated. In ref. [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] aluminum circular subwavelength
grating was used to convert circularly polarized light with wavelength 633 nm into
radially polarized beam. However the quarter-wave plate was manufactured in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] and
the obtained beam was not strictly radially polarized – at diametrically opposite points
of the beam the electric field has the same phase, while in the real radially polarized
beam electric field at these points have opposite phase. Earlier, we discussed a 4-zone
grating polarizer intended to form a radially polarized beam [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], which was used to
form a subwavelength focal spot of area 0.35λ × 0.38λ by means of a Fresnel zone
plate [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>In our investigation we have experimentally investigated two binary subwavelength
grating-miсropolarizers that transform linearly polarized light to the azimuthally
polarized beam. The first miсropolarizer operates in reflective mode and was
manufactured in a gold film. The second micropolarizer operates in transmitting mode and
was manufactured in silicon.</p>
    </sec>
    <sec id="sec-2">
      <title>Fabrication</title>
      <p>The proposed reflective micropolarizer consists of four sectors (Fig. 1(a)): in the two
sectors on the right, the microrelief features have a 0.46 μm period and make angles
70° and −70° with the y-axis (vertical), whereas in the sectors on the left, the features
have a 0.4 μm period and make with the y-axis angles 40° and −40°. The
micropolarizer has a size of 100 μm × 100 μm and the microrelief height of 110 nm. The
micropolarizer was fabricated by electron beam lithography in a golden layer of
thickness 160–180 nm. In the first step of fabrication a golden layer was coated onto a
glass substrate, followed by applying a resist layer, on which a four-sector grating
polarizer pattern was generated by an electron beam lithography (at 30 kV). Then, the
sample was developed by etching with xylene, which dissolved the fragments
exposed to the electron beam. Then, using reactive ion etching, the grating-polarizer
pattern was transferred into the golden layer, which was etched in places with no
resist. Using argon plasma, gold particles were spattered from areas unprotected with
the resist. At the final stage, the resist residue was eliminated using oxygen plasma.
The reactive ion etching time was optimized so as to achieve an etch depth of about
110 nm.</p>
      <p>The transmitting micropolarizer (Fig. 1(b)) also consists of four sectors with angles
60°, 60°, -60°, 60°. The micropolarizer not only transforms linearly polarized light
into azimuthally polarized beam but also adds phase shift π at diametrically opposite
points of the beam. The micropolarizer was fabricated by electron beam lithography.
In the first step of manufacturing a layer of amorphous silicon (130 nm) (a-Si) was
coated with a resist (PMMA). The thickness of the resist was chosen optimally (320
nm). The substrate was coated by 15 nm of gold to avoid the formation of the charge
on the sample surface. A four-sector grating polarizer pattern was generated by an
electron beam lithography (at 30 kV). Then the substrate was developed using
solution of water and isopropanol (ratio of 3:7). During this process, the gold layer was
completely removed from the surface of the PMMA. Using reactive ion etching the
pattern of grating-polarizer was transferred from the resist to amorphous silicon. The
manufactured micropolarizer have period 230 nm, step width 138 nm, and groove
width 92 nm. The size of the manufactured micropolarizer (Fig. 1b) is 100 × 100 μm.</p>
    </sec>
    <sec id="sec-3">
      <title>Experiment</title>
      <sec id="sec-3-1">
        <title>Reflective polarizer</title>
        <p>The performance of the fabricated reflective micropolarizer (fig. 1а) was
experimentally tested using a linearly polarized beam of 1 mm width from a 532 nm laser. The
beam was focused with a 10 × lens O1 onto the substrate containing the grating
micropolarizer. Experimental setup is shown in fig. 2. The size of the spot focused on
the micropolarizer was controlled by varying the distance from the lens O1 to the
micropolarizer surface. Although in this case, the micropolarizer was not found in the
beam waist and the incident wave was spherical, the experimental results we discuss
below corroborate that the micropolarizer still operated in a proper way.</p>
      </sec>
      <sec id="sec-3-2">
        <title>Transmitting polarizer</title>
        <p>The performance of the transmitting micropolarizer (Fig. 1b) was experimentally
tested using a linearly polarized beam from a 633 nm laser. The beam was focused
with a 40× lens O1 onto the substrate containing the grating micropolarizer (Fig. 4).
The size of the spot focused on the micropolarizer was controlled by varying the
distance from the lens O1 to the micropolarizer surface. The substrate was mounted on a
movable stage, and the position of the light spot on the micropolarizer was controlled
by shifts of the stage. The CCD camera image was obtained using a 20 × lens О2. As
previously, linear polarizer P2 is located before the camera to check a polarization
state of the reflected beam.
Fig. 5 shows image of the transmitting micropolarizer in Fig. 1b in the laser light. An
angle between the axis of output polarizer P2 and incident light polarization equals to
0° (a), 90° (b), -45° (c) and 45° (d). Based on fig. 5, we can infer that the four-sector
micropolarizer in fig. 1(b) converts an incident linearly polarized beam into an
azimuthally polarized light beam.
A lens with a focal length of 24 mm was placed in front of the polarizer P2 (in Fig. 4)
to investigate the intensity distributions in the far field. Fig. 6 shows intensity of the
laser beam in far field. The micropolarizer forms a peak of intensity on the optical
axis. A central lobe has a circular shape, and a side lobe has a form of non-uniform
ring due to the square shape of the micropolarizer. Based on fig. 6 we can infer that
the micropolarizer not only convert linearly polarized light into azimuthally polarized
beam but also add the phase shift π to diametrically opposite points of the beam
[1014].</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Conclusions</title>
      <p>In this work we have investigated two subwavelength gratings that transform linearly
polarized light into azimuthally polarized beam. The first miсropolarizer operates in
reflective mode and was manufactured in a gold film. The second micropolarizer
operates in transmitting mode and was manufactured in silica. It was shown
experimentally the following:
1) Manufactured 4-sector reflective micropolarizer illuminated by linearly
polarized light with wavelength of 532 nm forms azimuthally polarized beam in near and
far field</p>
      <p>2) Manufactured 4-sector transmitting micropolarizer illuminated by linearly
polarized light with wavelength of 633 nm forms in near field azimuthally polarized beam
with phase shift π at diametrically opposite points of the beam. In far field of
diffraction the micropolarizer forms a central circular focal spot surrounded by a light ring.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgments</title>
      <p>This work was partially funded by the Ministry of Education and Science of the
Russian Federation and Russian Federation Presidential grants for support of Young
Candidates of Science (MK-9019.2016.2), and Russian Foundation for Basic Research
grants ## 14-29-07133, 14-07-97039, 15-07-01174, 15-37-20723, 15-47-02492,
1607-00990.</p>
    </sec>
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