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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">10.18287/1613-0073-2016-1638-882-887</article-id>
      <title-group>
        <article-title>THE EFFICIENCY OF OPTICAL MICROSTRUCTURES FORMED ON MOLYBDENUM FILMS</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>S.D. Poletayev</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>S.G. Volotovsky</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>
      </contrib-group>
      <pub-date>
        <year>2016</year>
      </pub-date>
      <volume>1638</volume>
      <fpage>882</fpage>
      <lpage>887</lpage>
      <abstract>
        <p>We have considered influence of technological errors of formation of the amplitude optical lattices made by method of a laser ablyation of thin films of molybdenum on distribution of diffraction orders in a distant zone of diffraction. For this purpose we have digitized a profile of a site of the created diffraction structure with the subsequent transformation to amplitude or phase functions of a transmission.</p>
      </abstract>
      <kwd-group>
        <kwd>diffractive microrelief</kwd>
        <kwd>metallic mask</kwd>
        <kwd>laser ablation</kwd>
        <kwd>thermochemical recording</kwd>
        <kwd>film molybdenum</kwd>
        <kwd>reactive ion etching</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        Currently the ablation of metal films is widely used by laser radiation in such areas as
semiconductor production, photo-electric devices, diffraction lattices and other
hightechnology appendices [
        <xref ref-type="bibr" rid="ref5 ref6 ref7 ref8 ref9">1-9</xref>
        ]. In this field researches is actual the task of forming of
the amplitude diffraction optical elements (DOE), and also the masking layers applied
to transfer of a microrelief in a substrate is actual. In this respect is perspective thin
films of molybdenum [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] as molybdenum has the following features are perspective:
– low temperatures of oxidation of metal, and oxide sublimation;
– high ratio of heat diffusivities metal/oxide.
      </p>
      <p>
        In works [
        <xref ref-type="bibr" rid="ref10 ref11 ref12">10-12</xref>
        ] the possibility of forming of optical microstructures by a laser
ablation of thin films of molybdenum is shown. The effect of triple reducing the size of a
zone of an ablation has been found (in comparison with diameter of a focal spot).
However edges of tracks turned out uneven, around tracks heat-affected zone (HAZ)
caused by metal oxidation was created.
      </p>
    </sec>
    <sec id="sec-2">
      <title>Methods and materials</title>
      <p>
        Microstructures were formed at station of the laser record CLWS-200 [
        <xref ref-type="bibr" rid="ref13 ref14">13-14</xref>
        ] in the
following sequence of technological operations:
– a dusting of a thin film of molybdenum on a substrate;
– formation of a test lattice by a local ablyation of a film under the influence of laser
radiation.
      </p>
      <p>Optically smooth substrates from glass and fused quartz the size 50×50 of mm, 3 mm
thick formed the basis. Film of molybdenum with a thickness of 17 nm were
deposited by magnetron sputtering method on the instruments «Caroline D-12A» (Russia,
Zelenograd) under the following conditions: a magnetron power - 700W, substrate
temperature - 200º C, the argon pressure – 0,2Pa. Deposition time was 2 min.
Laser recording was carried out under the following conditions: the working length of
the laser wavelength - 488 nm; the maximum power delivered to the recording head
100 mW; record structure - concentric rings with step 3 µm and an outer radius of 3
mm; the amount of power to each ring is decreased from 100% at the point of largest
radius to the center 0 in increments of 0.5%. Sample rotation speed - 10 s-1. These
process parameters correspond to the maximum laser density of power Еmax = 20
MW/cm2. The impact of laser radiation led to local ablation of the molybdenum film.</p>
    </sec>
    <sec id="sec-3">
      <title>Analysis of the results</title>
      <p>
        The fragment of the analyzed lattice is given in fig. 1 [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. The width of the tracks is
in the range of 250-400 nm.
      </p>
      <p>The structure shown in fig. 1 through binarization can be converted to a binary
diffraction grating (Fig. 2b).</p>
      <p>The resulting structure is an amplitude grating with different sized areas. In this case
the resulting amplitude is a lattice, but can easily be converted into a phase diffraction
grating. Consider the work of the resulting structure in both cases.</p>
      <p>
        For clarity, in fig. 3 shows the profilogram a plot of the derived structure (fig. 3a),
taken in a direction perpendicular to the recording tracks, by using a profilometer
KLA-Tencor P16+. The profile is the same binary grating shown in Fig. 3b.
To calculate the intensity distribution in the far zone of diffraction of a plane light
wave in the considered two-dimensional structure used fast algorithms of direct
calculation of the Fourier transform [
        <xref ref-type="bibr" rid="ref15 ref16 ref17">15-17</xref>
        ].
      </p>
      <p>
        Calculation based on numerical integration, in contrast to the algorithms of the fast
Fourier transform, allows to correctly evaluate the physical characteristics of the
generated fields. This is especially important in the analysis of the dispersive properties
of diffraction gratings [
        <xref ref-type="bibr" rid="ref18 ref19">18, 19</xref>
        ].
In fig. 4a shows the intensity distribution in order, in fig. 4b is the same distribution
together with the intensity distribution of an ideal amplitude grating (fig. 2a) with the
same period and width of the tracks.
      </p>
      <p>The standard deviation of the two graphs in fig. 4b is 0.26, given the nature of the
distribution, is not a big mistake.</p>
      <p>Was also simulated diffraction by a phase grating of this type. This digitized
distribution shown in fig. 1, was transformed into the phase transmission function, the profile
of which is shown in fig. 5.</p>
      <p>In fig. 6a shows the distribution of intensity in the far zone of diffraction obtained
after using the Fourier transform. In Fig. 6b shows the same distribution compared to
the distribution of ideal phase grating with the same period and width of the tracks.
Mean-square deviation of the two graphs in fig. 6b is 0.21, which, given the nature of
the distribution, is also not a big mistake, because in this case more important than an
exact match of the positions of the maximum.</p>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>The work experimentally shows the possibility of creating optical structures of
submicron resolution. Also by simulation it is shown the performance of the generated
structures both in amplitude and in phase. The magnitude of the standard deviations
for the distributions of intensity of 0.26 and 0.21, respectively, for amplitude and
phase gratings are not critical, assuming the structure of the resulting distributions
(there is almost perfect coincidence of the position of diffraction orders). Therefore,
demonstrated working technology for forming diffractive structures with a minimum
element size of 0.25 µm.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgements</title>
      <p>The work was funded RFBR grants № 14-07-00177, 16-29-09528, 16-29-11744.</p>
    </sec>
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