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44    array directivity                                                                array, fiber-optic



           where h is the aperture efficiency and l is the wavelength.  ing elements are nonisotropic, and a radiator in the array envi-
           For a two-dimensional array,                         ronment has a pattern that differs from the pattern of isolated
                                                                element in amplitude, phase, and sometimes in polarization
                                  Nd d                          also (see mutual coupling in array). Mutual coupling results
                                     x y
                            D » 4ph --------------- cos q 0
                                     2
                                    l                           in the  phenomenon wherein radiator impedance varies as a
                                                                function of scanning. The selection of the radiator for particu-
                d
           where   and d  are the spacings in the two coordinates and q 0  lar array is based on the consideration of its physical dimen-
                 x
                       y
           is the  angle  between  the  main  beam and the  normal to the  sions and environmental requirements, polarization and
           array surface (see also ANTENNA directivity). SAL    power-handling capability, and appropriate aperture matching
           Ref.: Johnson (1984), pp, 20.15, 20.22.              over the required scanning range. SAL
           A  dome array is a lens array that provides hemispherical  Ref.: IEEE (1993), p. 55; Johnson (1984), pp. 20.25–20.31.
           coverage. The simplest configuration of a dome array consists  An end-fire array is one in which the element phase settings
           of a dome (constrained-constant-thickness lens) and a planar  are such as to radiate a beam along or near the plane contain-
           array that feeds the lens (Fig. A79). An alternative to a con-  ing the elements. The gain and beamwidth of optimized end-
           strained lens is the use of a homogenous dielectric material  fire arrays of length L are
           with graded thickness  in the vertical plane.  This type of
                                                                                              l
           antenna was developed as an alternative to the use of several              q @ 0.96 ---
                                                                                       3
                                                                                              L
           planar arrays to scan a beam over a full hemisphere. SAL
           Ref.: Johnson (1984), p. 16.23.                                               7L
                                                                                      G @ ------
                                                                                          l
                                                                This array is  also called a  traveling-wave or  surface-wave
                                              '                 antenna. SAL
                                              q
                                                                Ref.: Johnson (1993), Ch. 12.
                                                                The array factor is the phased array pattern f (q, f) when the
                                                                                                    a
                                                                element factor f (q, f) is  isotropic. The  complete radiation
                                                                             e
                                                                pattern of phased array is the product of the array factor and
                                    q
                                                                                            f (q, f) f
                                                                the array element factor, f(q, f) =  (q, f) . The array
                                                                                            e
                                                                                                   a
                                                                factor characterizes the directivity capabilities of an array as a
                                                                system of the radiators (see PATTERN, array). SAL
                                Phased array
                                                                Ref.: IEEE (1993), p. 55; Johnson (1984), p. 20.5; Skolnik (1990), p. 7.10;
                                                                   Leonov (1988), p. 36.
                                                                array feed network (see FEED).
                                                                A fiber-optic array is one in which the link (analog or digi-
             Figure A79 Dome antenna configuration (after Johnson,   tal) among separate phased-array antenna elements is accom-
             1993, Fig. 16.19, p. 16.24).                       plished using fiber-optic transmission lines.  The latter are
                                                                used in both passive (Fig. A80) and in active phased-array
           A  dual-polarized array represents  a  construction of linear
           arrays  connected by their  individual lines to  a  common                             Optic fiber
           microstrip feed line. Each linear array  is  terminated in a        Microwave    2D optical  Optical-to
           matched load. The array is fed from a single source. The cre-  Laser  modulator  processor   microwave
                                                                                                        converter
           ation of the corresponding distribution of fields across the
           array aperture is achieved by placing tabs of different sizes
           along the linear arrays and by varying the widths of the feed
                                                                                             Beam
           lines. The advantage of such arrays lies in their simplicity,             RF      position   2D phased
                                                                                                            array
           small size  and low weight. A  shortcoming is  their narrow          generator    control
           bandwidth. AIL
                                                                 Figure A80 Passive phased-array antenna with optical circuits.
           Ref.: Leonov (1988), p. 168.
                                                                antennas. Meanwhile, in active arrays, all signals going to the
           An array element is a radiating element (a small independent
                                                                transceiver module or in it may be transmitted via one optical
           microwave antenna) the set of which constitutes the array
                                                                fiber. Figure A81 provides a possible diagram of the distribu-
           aperture. The most widely used  are dipoles, slots, small
                                                                tion of signals in an active fiber-optic phased-array antenna.
           horns, and waveguides (see RADIATING ELEMENT); spi-
                                                                    Use of fiber-optic  phased-array antennas is especially
           rals, microstrip disks or patch elements are also employed. In
                                                                promising in millimeter-wave radars. AIL
           array theory, radiators are typically considered to have broad
                                                                Ref.: Zmuda (1994), Ch. 11.
           isotropic patterns. In practice, radiation patterns of real radiat-
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