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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">10.18287/1613-0073-2016-1638-95-102</article-id>
      <title-group>
        <article-title>AMPLITUDE - PHASE DIFFRACTION GRATINGS BASED ON THIN LAYER OF INDIUM TIN OXIDE</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>V.D. Paranin</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>S.V. Karpeev</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>95</fpage>
      <lpage>102</lpage>
      <abstract>
        <p>It is offered to operate the transmittance of a diffraction mask by changing the interference properties of a thin optical layer. Based on the results of the offered approach the amplitude-phase diffraction grating with the period of 300 microns has been made from the 115 nm transparent indium tin oxide (ITO) film. Optical and dimensional parameters of the diffraction mask have been investigated by using the ellipsometry, interferometry and spectroscopy. Computer modeling of the diffraction scattering and its experimental investigation have been carried out.</p>
      </abstract>
      <kwd-group>
        <kwd>amplitude-phase diffraction grating</kwd>
        <kwd>thin layer</kwd>
        <kwd>indium tin oxide</kwd>
        <kwd>ellipsometry</kwd>
        <kwd>interferometry</kwd>
        <kwd>spectroscopy</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Diffraction gratings find application in imaging spectral devices [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ] and
optoelectronic actuator position sensors [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ]. Most of the gratings used are phase gratings
manufactured either by cutting using a ruling machine [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ] or by lithographical
methods [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Thermochemical chrome oxidation remains the most developed and
common method of producing lithographic masks and diffraction optical elements
(DOEs) both for binary [
        <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
        ] and gray-scale DOEs [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Comparatively recently
research has been underway devoted to further development of the technology of the
additive method of producing phase grating microrelief [
        <xref ref-type="bibr" rid="ref10 ref9">9, 10</xref>
        ]. The technology
proposed consists in thermal oxidation of a thin metal molybdenum layer (15 – 70 nm). It
may be followed by substrate etching through the mask produced. Let us note that
variations in the temperature and time of annealing directly affect the chemical
composition and structure (i.e. the optical thickness and absorption) of the oxide film.
Consequently, it becomes possible to produce all types of gratings: amplitude, phase
and amplitude-phase ones using the method specified. Besides, gratings incorporating
opaque metal masks can be used as reflective ones without spraying or depositing
additional layers [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. It is possible to tune the parameters of such gratings to a given
wavelength, for instance, by additional annealing at the post-treatment stage.
Further improvement of the grating functionality is achieved by using multilayer
diffraction masks based on alternating optical layers. This makes it possible to increase
the difference in the transmittance of the diffraction grating step and trench for a
prescribed introduced phase difference. The additive technology makes it possible to
produce diffraction gratings on the basis of various chemical compounds, including
multilayer implementation. In this case oxidation of several metal layers tens of
nanometers thick is a lot easier to accomplish than etching of several heterogeneous
oxides of metals and/or semiconductors of greater thickness.
      </p>
      <p>
        The possibility of producing diffraction masks possessing some peculiar properties,
for instance, intended for application in electrically-controlled diffraction gratings is a
version of development of the additive method [
        <xref ref-type="bibr" rid="ref12 ref13 ref14 ref15 ref16">12-16</xref>
        ]. As a result, diffraction
elements of optical radiation control using various functional effects: electro-optical,
magneto-optical, thermo-optical etc. can be implemented. It certainly requires the
replacement of conventional quartz substrates by crystal or ceramic materials with the
necessary functional properties. Besides, it gives birth to new requirements to the
pattern of the diffraction mask. For example, electro-optical effects of various orders
can be used in the case of interdigital electrodes. Magneto-optic and thermo-optic
effects are used in the case of closed-circuit electrodes.
      </p>
      <p>The aim of this work was the production and experimental investigation of a
diffraction grating on the basis of a conducting mask made of indium-tin oxide (ITO) and
measurement of ITO-layers’ optical and dimensional characteristics by methods of
ellipsometry, interferometry and spectroscopy. Directional diagrams of an
ITOgrating were modeled and experimentally analyzed on the basis of the optical
characteristics measured.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Technology of ITO-grating production</title>
      <p>K-8 glass with the dimensions 25х25х3 mm was used as the grating substrate.
Indium- tin oxide In2O3-SnO2 of electronic grade deposited by reactive magnetron
sputtering in vacuum served as the material of the diffraction mask.</p>
      <p>
        The substrates were cleaned by rinsing in an alkaline solution, soaking in a chrome
solution H2SO4:K2CrO7 for 5 minutes and rinsing in deionized water. The lift-off
process was used to produce a diffraction grating [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. A layer of FP-051K
photoresist 0.4 μm thick was spin-deposited in two stages: 20 seconds at the rate of 500 rpm,
and then 45 seconds at the rate of 4500 rpm. The photoresist was air-dried for 2
minutes and then dried on a heater for 12 minutes at the temperature 95 °С.
Immediately after the inverse-photomasked exposure the photoresist was developed in
UBP1F developer solution for 1 minute, rinsed in deionized water and dried by pure dried
air flow.
      </p>
      <p>The next step was the formation of indium- tin oxide by reactive sputtering in oxygen
with additional heating. In order to accomplish vacuum deposition of the indium-tin
layer the substrates with the photoresist inverse mask were fixed on a heating
substrate holder of the ETNA-100-MT vacuum unit. The temperature of heating was
limited by possible photomask degradation. It was experimentally established that
heating up to the temperature of 200 °С at the rate of 10°С/min in the presence of an
argon-oxygen mask does not cause any significant variation of the properties of the
photoresist used. Therefore, the temperature of the substrate holder was maintained at
the level of 200°С in the course of the whole process of indium-tin deposition.
The process of sputtering started with spraying of the upper layer of the target
material, the electronic grade indium-tin alloy (target diameter 3”) onto the closed shutter
under the following conditions: atmosphere- argon with the chamber pressure 0.5
mtorr, the rate of supply through the magnetron- 9 cm3/sec; the magnetron power
increased up to 200 W in the course of 30 seconds and then was maintained at this
level for 5 minutes in direct current conditions. Let us note that the closed magnetron
shutter and the supply of gas from the bottom of the magnetron determined higher
argon working pressure in the magnetron as compared to that in the main chamber,
which ensured stable operation of the magnetron.</p>
      <p>After the target was cleaned the shutter was opened, the flow of argon through the
magnetron increased up to 22 cm3/sec, with additional supply of oxygen to the
substrate at a rate of consumption 9 cm3/sec (the pressure in the chamber therewith rose
up to 1.1 mtorr). The magnetron power decreased down to 110 W and its operation
condition changed to the discontinuos conduction mode with a periodic inverted pulse
to minimize the effect of anode loss. The film thickness was controlled with the help
of a quartz thickness gage using a witness placed near the specimens. The rate of ITO
oxide formation on the witness is somewhat different, consequently, the film density
may also differ from that on the specimen film. Therefore, to control the process the
rate of film growth was used (it amounted to 0.26 nm/sec), the constancy of which
meant the process was stable.</p>
      <p>A diffraction grating made of indium-tin oxide on a К-8 substrate was formed in the
way described. The grating dimensions were controlled by an automatic WLI-DMR
white-light interferometer and were as follows: the period - 300 μm, the groove width
- 165 μm, the microrelief depth – 115..117 nm (fig.1).</p>
      <p>The refraction index of the ITO-film was measured by the method of ellipsometry
using a J.A.Woollam V-VASE automatic spectral ellipsometer. The wavelength was
assigned to be equal to 632.8 nm, the width of the radiation spectrum did not exceed
2.3 nm. To reduce the impact of reflection from the back surface of the substrate it
was mat-finished. The results of measuring the intensity of reflection of p- and
spolarized radiation are shown in fig. 2. The refraction and absorption indices
determined with the help of the ellipsometer software were as follows: n=1.857±0.008,
k=0.000±0.009 according to the data of s-polarization. The refraction indices
presented are averaged due to the structural complexity and possible heterogeneity of the
ITO-film over its thickness.
Spectral transmittance of the substrate and the substrate with an ITO-layer in the
range of 300-900 nm was investigated on a Shimadzu UV-2450 spectrophotometer.
The measuring interval was 1 nm, the spectral width of the slit – 1 nm, with an
average scanning speed. The results are presented in fig. 3.</p>
      <p>Maximum transmittance, practically equal to the substrate transmittance can be
observed at the wavelength of 480 nm. This maximum corresponds to the half-wave
thickness of the ITO film. According to reference data the refractive index at the
wavelength of 480 nm is n=1.996. Thus, it is possible to determine the physical
thickness of the film as 120 nm, which is quite close to the results of measuring presented
in fig. 1.
Intensity distribution in the image plane was calculated on the basis of measuring the
ITO-grating profile and refraction index. The Rayleigh-Sommerfeld diffraction
integral for a one-dimensional structure was used in the calculation. The model grating
comprised 30 slits with a period of 30 μm and the slit width of 165 μm. The height of
the ITO-profile was assigned equal to 115 nm, the refraction index – 1.857. The
intensity transmittance with account of the lower surface of the substrate in the area of
ITO was 0.826 rad, in the region of the slit – 0.190. The phase change in the ITO area
was 2.123 in the area of the slit – 1.142 rad. The results of calculating standardized
intensity in the image plane (0.4 m from the grating) are shown in fig.4.
The ITO-grating was investigated on an optical setup comprising a LGN-208A
helium-neon laser, a spatial filter – beam expander, an optical-grade film polarizer, an
experimental specimen, an imaging cylindrical lens, a photosensitive device. The
intensity in the focal plane of the cylindrical lens was registered by a DCM310
CCDcamera with the 2048x1536 resolution. The illumination of the diffraction grating
was close to uniform. Intensity distribution in the plane of the ССD-matrix is shown
in fig.5.
Comparison of fig.4 and fig.5 shows good agreement between the experimental and
design characteristics of the grating. It follows from the data obtained that a
diffraction grating based on an indium-tin oxide film is an amplitude-phase one. Firstly, the
grating is characterized by differences in the transmittance of the step tв=0.826 and
the trench tк=0.910 at the wavelength of 633 nm (fig. 3). Secondly, different phase
changes correspond to the step and the trench, Δφв=2.123 rad and Δφк=1.142 rad.
These factors condition partial formation of odd orders, mainly the first ones that
make up about 10% of the zero order.</p>
      <p>Thus, a diffraction grating on the basis of ITO-films can be both a phase one if its
thickness is a multiple of half-wavelength and the transmittance is maximum, and an
amplitude one. The amplitude properties of the ITO-mask in this case are determined
by its interference properties and optical absorption. It is an advantage of this kind of
mask as compared to metal masks which are predominantly amplitude ones. On the
other hand, optical parameters of an ITO-film may vary within fairly narrow limits
after being produced, for example, with the help of annealing. This makes it possible
to tune the diffraction grating parameters to the operating wavelength. Thus,
additional 2-minute annealing of an ITO-film at a rate of 30 °С/min up to the temperature
of 250 °С resulted in some increase of the film transparency and considerable
reduction of the film resistance from 50 ohm/sq до 26 ohm/sq. This confirms the possibility
of thermal change of its structure after production with the aim of tuning the
parameters to the assigned wavelength.
4</p>
    </sec>
    <sec id="sec-3">
      <title>Conclusion</title>
      <p>A technology of formation of a conducting diffraction mask made of indium-tin oxide
about 100 nm thick on the surface of a K-8 substrate is proposed in the paper. The
analysis of the mask roughness showed good quality of its surface. The refractive
index of an ITO-film n=1.857±0.008 and k=0.000±0.009 at the wavelength of 632.8
nm is determined by the method of ellipsometry. Spectral transmittance of the
diffraction grating in the area of the step (of the mask) tв=0.826 and that of the trench
tк=0.910 is measured and their difference caused by interference properties of the
ITO-layer is noted. Intensity distribution in the focal plane of the ITO-grating is
investigated and its amplitude-phase properties are shown. The measured dimensional
and optical characteristics of the ITO diffraction mask are confirmed on the basis of
the comparison of the design and measured directional diagrams. These data can be
used for the design of transparent conducting masks of controlled diffraction gratings
on substrates made of electro-optic materials. Variation of parameters of the
amplitude-phase grating makes it possible to create laboratorial diffraction modulators of
laser emission intensity.</p>
      <p>Surface resistivity of ITO-electrodes is measured and the possibility of its thermal
tuning almost two-fold, from 50 ohm/sq to 26 ohm/sq is demonstrated. This
possibility is useful for matching complex resistance of a controlled diffraction grating with
the output stage of the voltage source.</p>
    </sec>
    <sec id="sec-4">
      <title>Acknowledgements References</title>
      <p>The work was supported of Russian scientific Foundation (grant 14-19-00114).</p>
    </sec>
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