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lens, computing                                                                   lens, metal-plate  236



           Computing lens is a term  sometimes used  for  a lens that  A  Luneburg lens  is made in the form of a hemisphere
           forms beams at low power that will be transmitted at high  (Fig. L5) at the base of which is installed a flat reflecting sur-
           power from amplifiers placed at the output (element) ports of  face ensuring a mirror reflection of the radiation source from
           the lens. It can take the form of a Luneburg lens or a bootlace  point O  to  point O ¢. Thanks to spherical symmetry, its
                                                                                  u
                                                                       u
           lens. SAL                                            focusing ability  does not depend  on the  direction of wave
           Ref.: Skolnik (1980), p. 316.                        arrival. The main properties of a Luneburg lens include the
                                                                fact that a plane wave falling on it is focused at a point lying
           A dielectric lens is made of homogeneous dielectric with a
                                                                on the opposite side of the surface and, consequently, a wave
           curvilinear refracting surface. Figure L4 depicts a dielectric
                                                                from point source O ¢  located on  the surface  of the lens is
                                                                                 u
           lens illuminated by a spherical wave from source F (feed).
                                                                converted into a plane wave during passage through it.
                                                                    A Luneburg lens has a variable index of refraction. The
                                                                index of refraction has the greatest value in the center of the
                                                                lens and equals  2  ; it equals 1 on the surface of the lens.
                                                                Source displacement along the surface of the lens causes cor-
                                                                responding displacement of the beam in the opposite direc-
                F
                                                                tion. There are two ways to rock the beam: either by
                                                                displacement of a single feed along the surface of the lens or
                                                                using a large number of feeds and switching a transmitter or
                                                                receiver from one feed to another. A Luneburg lens can be
                                                                used in wide-angle scanning antennas. AIL
                                                                Ref.: Leonov (1984), p. 20; Johnson (1984), pp. 16.26–16.27.
             Figure L4 Dielectric lens (after Leonov, 1986, Fig. 2.6, p. 19).

               The index of refraction of such a lens is  n  = c/v  > 1,
                                                        f
                                                  2
           where v is the phase velocity of the wave in the lens and c is
                 f
           the speed of light. The path the  wave  travels in the lens  is
           longer in the center of the lens and shorter at its edges. Conse-
           quently, a plane front is obtained by virtue of the movement
           of the wavefront in the direction from the feed to the dark sur-
           face. Dielectric lens shortcomings, which include their great
           weight and expense, limit their use in radars. AIL
           Ref.:Skolnik (1970), pp. 10.19–10.22; Leonov (1984), p. 19.
           A  dome-lens  is a metal-plate waveguide lens with  round
           waveguide sections  filled with dielectric, each of  which  is
           calculated to create a specific magnitude of phase shift. The
           lens is a hemispherical dome over a flat phased-array antenna  Figure L5 Hemispheric Luneburg lens (from Leonov, 1986,
           with circular aperture. Waveguide sections are inserted into  Fig. 2.8, p. 20).
           the holes on the dome surface. The magnitude of the phase
           shift in the dome-lens changes from section to section and  A metal-plate lens is a lens made of metal plates parallel to
           depends on the combination of the magnitudes of the permit-  the vector of the incident electrical field and located at dis-
           tivity of the filler and the depth of packing of the round  tance L > l/2 from each other. In such a lens (Fig. L6a), a
                                                                      1
           waveguide section. Given 20 discrete phase increments (20  wave is propagated medium with phase velocity:
           types of phase shifters) in the lens under examination, 80 such        c
           combinations were used to cover the phase angle interval     v =  ---------------------------------- 2     (1)
                                                                         f
                                                                                   ¤
           from 0 to 360° A dome-lens makes it possible to scan an            1 –  ( l 2d )
                        .
           entire hemisphere using only one phased-array antenna (i.e.,
                                                                where c is the speed of light. Consequently, always   v  > c,
                                                                                                             f
           the scan sector is expanded significantly). Moreover, use of
                                                                and the lens index of refraction is n  = c/v  < 1 (i. e., it is an
                                                                                             2
                                                                                                  f
           such a dome makes it possible to greatly reduce antenna sys-
                                                                acceleration lens).
           tem cost. Without such a dome, at least three phased array
                                                                    Given appropriate selection of the concave shape of the
           antennas would be required for scanning in the upper hemi-
                                                                lens, all beams  exiting the  radiator placed at  focus F  will
                                                                                                             1
           sphere. A shortcoming of a dome-lens antenna is rotation of
                                                                reach the aperture at the same time, and the field in the aper-
           the polarization plane of the transmitted signal with change in
                                                                ture will be cophasal. A shortcoming of this lens is its signifi-
           azimuth scanning angle. This is observed when signal polar-
                                                                cant thickness, weight, and losses. Stepped metal-plate lenses
           ization is linear. Use of circular polarization can eliminate this
                                                                (Fig.  L6b)  are used  to  decrease thickness. Thanks to the
           effect. AIL
                                                                stepped shape of the profile,  the  length of the path of the
           Ref.: Johnson (1984), pp. 16.23–16.25.
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