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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>A Compact Acousto-Optical Module for Hyperspectral Imaging Systems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Milana Sharikova</string-name>
          <email>milana.fartuna@yandex.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sergey Boritko</string-name>
          <email>boritko@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vladislav Batshev</string-name>
          <email>batshev_vlad@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vitold Pozhar</string-name>
          <email>vitold@ntcup.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexey Kozlov</string-name>
          <email>akaban@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anton Karandin</string-name>
          <email>karandin.av@ntcup.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Scientific and Technological Center of, Unique Instrumentation Russian, Academy of Sciences</institution>
          ,
          <addr-line>Moscow</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2020</year>
      </pub-date>
      <fpage>122</fpage>
      <lpage>125</lpage>
      <abstract>
        <p>-We present an acousto-optical module, which is characterized with small monolithic design, rather good image quality and variability of instrument function. The module is compact and USB-controlled that makes easy its integration into existing imaging systems. We demonstrate the efficiency of the module for hyperspectral imaging in the ranges 450-900 nm and 900-1700 nm. The module may be the basis of hyperspectral imagers for various applications.</p>
      </abstract>
      <kwd-group>
        <kwd>acousto-optical tunable imaging</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>I. INTRODUCTION</title>
      <p>
        The most promising method for spectral imaging is based
on acousto-optical tunable filters (AOTF). They have a
number of important technical advantages: fast (~ 1 ms)
random spectral access, high spectral resolution (the
bandwidth up to 0.1 nm), the ability to modulate the signal
and synthesize the transfer functions, lack of moving
elements, small mass and dimensions [
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1-3</xref>
        ]. They can be the
basis for implementation of fundamentally new methods for
visualizing objects [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>
        Now, acousto-optical (AO) functional elements as well as
some devices based on them, for example imaging
spectrometers, are commercially available [
        <xref ref-type="bibr" rid="ref5 ref6">5,6</xref>
        ]. Typically,
AOTF comprises an AO cell, input and output crossed
polarizers and radiofrequency electronics for ultrasound
wave generation. Its principle of operation is based on
anisotropic Bragg light diffraction by a dynamic acoustic
grating [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. AOTF is capable to select the light waves in any
narrow spectral range with the required transmission factor
by tuning the frequency and the power of the ultrasound.
      </p>
      <p>One of the factors limiting the application area of
AOTFs is the spectral range of tuning, limited by
technological factors, usually one octave, for example,
450900 nm, 900-1800 nm, etc. To create instruments operating
in a wider spectral range, several AOTFs can be used. In
this paper we show the ability to create AOTFs operating in
visible and near infrared (NIR) ranges (0.45 - 0.9 μm, 0.9
1.7 μm) with using of the same AO cell geometry.</p>
      <p>
        The shape of AO cell defines the image distortions.
Moreover, these distortions also depend on the optical
design of the spectral imaging device. The main types of
optical aberrations caused by the AO interaction are:
distortion, longitudinal chromatic image shift, transverse
chromatic image drift. Aperture aberrations are also
presented but negligible. In the focusing scheme without the
intermediate image located inside of the AOTF the worst
aberration is astigmatism [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>
        In the paper [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] we show that confocal telecentric
scheme provides the best image quality because of the
absence of the distortion and small values of the other
aberration. So, for this scheme the proposed AOTF was
designed. It is shown on the Fig. 1. Lens L1 forms the
intermediate image I1 of the observing object inside the AO
cell. Lens L2 projects it onto the detector. To obtain the
telecentric ray propagation the aperture stop should be
placed to the front focal plane of the first lens L1.
      </p>
      <p>Longitudinal chromatic image shift in the presented
scheme could be minimized by special design of the lenses
L1 and L2.</p>
      <p>
        The main types of aberrations caused by the AO filter are
distortion, longitudinal position chromatism, and transverse
chromatic shift of the image [
        <xref ref-type="bibr" rid="ref8">8, 9</xref>
        ]. In the confocal AO
filtering scheme distortion is absent [
        <xref ref-type="bibr" rid="ref11 ref8">8-10</xref>
        ]. The position
chromatism, which manifests itself in the form of defocusing
images recorded at different wavelengths, depends only on
the length of the crystal and can be compensated by other
optical elements.
      </p>
      <p>
        Transverse chromatic image drift appearing in this
scheme couldn’t be compensated by axisymmetric elements,
therefore, it should be minimized due to the inclination of the
output AO cell facet. The calculations performed using the
special ray-tracing module [
        <xref ref-type="bibr" rid="ref12">11</xref>
        ] show the possibility of such
compensation in the AO cell made of paratellurite (TeO2)
with a cut angle γ = 7° for a wide spectral range. The residual
chromatic image drift in the range of 0.45 - 1.7 μm not
exceed of 1% of the image size. So, this AO cell geometry
could be used in AOTF of any working spectral range within
0.45 - 1.7 μm.
      </p>
      <p>Spatial resolution of the AOTF is limited by the light
diffraction on the input optical window and specific
aberrations. The last ones are rather small. That is why we
can expect image quality to be close to the diffraction limit.
The maximal number of resolvable image elements in the
image could be calculated as</p>
      <p>N  2 y 2 
ρ A iry
where ρAiry is the radius of Airy disc, and 2y2 is the image
size.</p>
      <p>Considering that the intermediate image size is equal to
the input window diameter D we can write
2 y 2  ta n ω</p>
      <p>D ta n ω 2
Airy disc radius can be found from
ρ A iry </p>
      <p>So, according to previous formulas and due to small
angels ω and ω2 we can write
0 .6 1λ</p>
      <p>The diameter of the input window of the designed AOTF
is D = 10 mm. Glan-Taylor prisms are used as polarizers.
They define the angular aperture of the entire AOTF which is
2ω = 3˚. Thus, the maximal number of the resolvable
elements N = 750×750 (at λ = 555 nm) and N = 300×300 (at
λ = 1.4 μm).</p>
      <p>To confirm it two AOTFs were manufactured (Fig. 2).
They are completely identical except the spectral range.
Their technical parameters are presented in the Table 1.</p>
      <p>
        One of the modern trends in optical instrumentation is the
modular concept of the devices [
        <xref ref-type="bibr" rid="ref13">12</xref>
        ]. That is why we
designed AOTF as a module which, unlike commercially
available AOTFs, contains all the necessary optical and
electronic components (AO cell, two polarizers, generator,
amplifier, piezotransducer). Our module can be inserted into
the device or removed from it without any affect on it.
      </p>
    </sec>
    <sec id="sec-2">
      <title>III. EXPERIMENTAL RESULTS Two main parameters were checked: spectral and spatial resolution.</title>
      <p>


</p>
      <p>For experimental research of fundamentally achievable
quality of images formed by the AOTF-based spectral
imaging system, two layouts were created: for the visible
and NIR ranges. Their optical schemes are in accordance
with the Fig. 1. We used standard machine-vision lenses.
The input lens was focused in such a way as to obtain an
image of an object located at a finite distance from the lens.
As an object we used standard resolution test chart.</p>
      <p>The detector in the visible range was monochrome
industrial CMOS camera TheImagingSource DMK
23UP1300 with the resolution of 1280×1024 pixels and
sensor size of 6.1×4.9 mm2 (1/2”). So, according to Table 1
the diffraction limited image resolution at λ = 555 nm
should be 750/4.9 mm ≈ 150 mm-1.</p>
      <p>In the NIR range we used Allied Vision Goldeye
CL008 TEC1 camera with InGaAs 320×256 sensor and a 30
μm pixel. The sensor size is 9.6×7.7 mm2. The calculated
diffraction limited resolution at λ = 1400 nm is 300/7.7 mm
≈ 40 mm-1.</p>
      <p>Since the fields of view and magnifications are differ in
the layouts working in the different spectral ranges, we
present fragments of the obtained images in the Fig. 4. They
are cropped so that the fields of view are aligned.</p>
      <p>Obtained series of spectral images of the test chart
demonstrates a good spectral stability, high resolution and
negligible distortions in the entire spectral range
0.45-1.7 μm. There is a slight transverse shift of the image
during tuning along the wavelength. These small offsets
are not significant and can be easily corrected by spectral
and spatial calibration.</p>
      <p>The measured spatial resolution at a wavelength of
555 nm is about 80 mm-1, and at a wavelength of 1400 nm
- about 20 mm-1. So, we can see the good compliance with
calculated values.</p>
      <p>The differences between the experimental and
calculated data are primarily due to the fact that standard
lenses were not used for prototyping to compensate for the
distortion of the AO filter. However, even with this, it was
possible to obtain the image with a high spectral and
spatial resolution in both visible and NIR ranges.</p>
    </sec>
    <sec id="sec-3">
      <title>IV. CONCLUSION</title>
      <p>
        The main goal of this work was to develop an AOTF of
modular construction provided high image quality in the
visible and NIR ranges (0.45 - 0.9 μm, 0.9 - 1.7 μm). It is
shown that such an AOTF can be created according to the
same scheme for both spectral ranges, with the same AO
cell shape, using the same diffraction geometry. In
particular, this makes it possible to create dual-band
AOTFs [
        <xref ref-type="bibr" rid="ref14">13</xref>
        ] provided high image quality and high AO
diffraction efficiency in both spectral ranges.
      </p>
      <p>A correct choice of the geometry of the AO interaction
and the cut angle of the crystal face provide compensation
for the chromatic shift of the image and eliminates the
need for refocusing during spectrum tuning.</p>
      <p>
        The developed program-controlled imaging AOTFs for
the most requested spectral ranges have a potential to be
the basis for hyperspectral systems and imaging
spectrometers for various applications. Compact modular
design makes it easy to integrate it into various optical
schemes [
        <xref ref-type="bibr" rid="ref11">10</xref>
        ]. The spectral tuning module with proper
spatial spectral calibration can be used for precision
spatial-spectral measurements.
      </p>
    </sec>
    <sec id="sec-4">
      <title>ACKNOWLEDGMENT</title>
      <p>
        This work was performed using the equipment of the
Center for Collective Use of the Scientific and
Technological Center of Unique Instrumentation of the
Russian Academy of Sciences [
        <xref ref-type="bibr" rid="ref15">14</xref>
        ]. The Russian
Foundation for Basic Research (project 18-29-20095).
      </p>
    </sec>
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