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235   LENS                                                                            lens, bootlace-type



                                                                control signals, the lens is referred to as a controllable lens.
                                                                Lenses are referred to as dielectric, metal-plate, and metal-air,
                                Table L1                        depending upon the  lens material used.  Lenses  are catego-
                  Comparison of Reflector and Lens Collimators  rized as focusing, reflection, and divergent based on the task
                                                                accomplished. Focusing lenses are those converting a wave
                  Feature        Reflector        Lens          with  a  nonplanar front  into one with a  plane phase front.
                                                                Those that rereflect electromagnetic waves striking them in a
             Degrees of freedom  1          Up to four*         given direction  are referred  to as reflection  lenses. Lenses
                                                                with a heterogeneous dielectric with special profile convert-
             Aperture blockage  Present     Absent
                                                                ing a spherical wave into a wave with any form of phase front
                                                                are called divergent lenses. Lenses are used widely in vari-
             Losses            Lower        Higher
                                                                able-purpose  radar antennas. Their use in  millimeter-wave-
             Chromatic aberration  No       Yes                 band antennas is very promising. (See ANTENNA, lens).
                                                                    Phased array antennas in the form of transmission lenses
             Supporting structures  Simpler  More complex       made up of phase-shifting elements are also used in multitar-
                                                                get and multifunction radars. (See FEED, antenna.) AIL
             Weight and size   Less         More
                                                                Ref.: Zelkin (1974), pp. 27–191; Johnson (1984), Ch. 16.
             * (1) inner surface, (2) outer surface, (3) index of refraction,   The Archer lens is a variant of the Rotman lens in which the
              (4) inner-vs.-outer radiator position (in constrained lens).  parallel-plate region between the feeds is filled with a dielec-
                                                                tric material to reduce the linear  dimensions. Stripline or
                                                                microstrip lens and feed-port connecting lines are printed on
                   n =   e =  cv ¤ > 1, and   n =  cv ¤ < 1     an extension of the dielectric material. The beam angle can
                    2     2     f         2     f
                                                                differ from the feed angle, providing large beam scan angles
               The surface of a lens facing toward a radiation source is  with practical feed positions  or,  for  limited scan  angles,
           referred to as being illuminated, while one facing away  is  reducing the lens size. An example of a 20-radiator, 16-beam
           referred to as being in shadow. It is evident from the layout of  microstrip Archer lens is shown in Fig. L3. SAL
           Fig. L1 that the illuminated side must be convex when n  > 1  Ref.: Johnson (1984), pp. 20–21.
                                                        2
           and concave when n  < 1, to obtain a plane wave in the lens.
                            2
           Lenses where n  > 1 are called delay lenses (Fig. L1a); those
                        2
           where n < 1 acceleration lenses (Fig. L1b). Basic lens config-
           urations are shown in Fig. L2.





               Rotational lens, n > 1     Rotational lens, n < 1
                            (a)                        (b)










                                   Pillbox
                    Waveguide array    feed
                Cylindrical lens, n > 1  Cylindrical lens, n < 1  Figure L3 Archer lens (from Johnson, 1984, Fig. 16.17, p. 16.21,
                              (c)                     (d)        reprinted by permission of McGraw-Hill).
             Figure L2  Basic  lens configurations (after Johnson, 1984,  A bootlace-type lens is one having four degrees of freedom,
             Fig. 16.1, p. 16.3).                               providing four focal points to obtain wide-angle performance
                                                                with multiple beams or a scanning beam. Most designs fix the
               Lenses are classified based on a series of features. They
                                                                outer surface and use three focal points. Bootlace lenses can
           are categorized as homogeneous and heterogeneous based on
                                                                be two- or  three-dimensional, and  they can  produce  fan
           their dielectric property. If the index of refraction in the entire
                                                                beams or multiple pencil beams. The most common types are
           volume of the lens is identical, such a lens is called homoge-
                                                                the Rotman and Archer lenses. SAL
           neous. In the opposite case, it is referred to as heterogeneous.
           If the lens index of refraction changes under the effect of any  Ref.: Johnson (1984), pp. 16.19–16.22.
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