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loss, weighting                                                                 magnetron, coaxial  258



           pulse compression loss, and is included in the range equation  Historically,  the magnetron  is the  device that made
           as the filter matching loss or matching factor M = L . In the  microwave pulsed radar practical, and it has been in used in
                                                      m
           latter case it is included as L , a component of the miscella-  different types of radars for over 50 years. It was invented by
                                  mf
           neous signal-processing loss, L .                    A. W. Hall in 1921 for use as a diode switch, and until the
                                    x
               In a digital signal processor, the weighting function is a  invention of the resonant cavity in 1939 it remained practi-
           sequence  of coefficients  C   applied to the input  signal at  cally a laboratory device. Now it can obtain the megawatts of
                                  n
           times t . An example is the Hamming weighting function  output power with efficiency up to 80%.
                n
                                                                    Early magnetrons were of the unstrapped resonator type.
                                  2pn ö
                    C =  a –  a cos æ ---------- n =  0 ¼ N –  1  To improve stability, strapped-vane forms were introduced
                                              ,
                                      ,
                                           ,
                      n
                                   N ø
                                 è
                          0
                              1
                                                                and  now such  magnetrons  compose about 70% of these
           where a  = 0.53836, a  = 0.46164. For this weighting func-
                              1
                  0
           tion the loss is                                     devices. The remaining 30% include primarily rising-sun
                                                                magnetrons (considered obsolete) and  coaxial magnetrons.
                                       N 1–  2
                                     æ       ö                  The latter developments include a strapped-vane system and
                                     ç    å  C  ÷
                                     ç     n ÷                  high-Q  resonant cavity that  provides greatly enhanced  fre-
                                     è n =  0  ø                quency  stability. All existing magnetrons can  be classified
                          L  (or L  ) =  ---------------------------
                           m    mf      N –  1                  from the standpoint of the operation mode (pulsed or CW),
                                             2
                                      N × å  C n                from the standpoint of frequency variation (fixed-frequency
                                                                or frequency-agile, tunable or tuned magnetrons), and from
                                        n =  0
               In the case of pulse-compression weighting, the times t n  the standpoint of their structure (a variety of different types,
           are spaced  at intervals 1/B  over the width  t of the uncom-  such as conventional magnetrons,  coaxial magnetrons,
           pressed pulse, where B is the waveform bandwidth, while in  inverted coaxial magnetrons).
           pulsed doppler filter weighting they are spaced at intervals t r  Although magnetrons  are the oldest sources  of  micro-
           over the coherent processing interval, where  t  is  the pulse  wave energy used in radar, they are still widely used today
                                                 r
           repetition frequency.                                because of their “innate” positive qualities: small size, rela-
               The loss is independent of the number of samples, and  tively light weight, reasonable operating voltages,  excellent
           for  Hamming  weighting is equal to 0.73  dB. The loss  for  efficiency, and long life. The main assets of magnetrons are:
           some other  functions is given  in Table L14. (See also  wide range of operating frequencies (from meter to millime-
           WEIGHTING.) SAL                                      ter waves); high attainable power combining with relatively
                                                                                                 3
           Ref.: Cook (1967), pp. 191–206, Barton (1993), pp. 98, 102.)  small size and weight (from the 15 cm , 1-kW peak power
                                                                beacon magnetron to several megawatts peak power in air
                                Table L14                       defence radars); very high efficiency inherent to crossed-field
                              Weighting Loss                    devices (up to 50 to 80%); low operating voltage (usually too
                                                                low to generate dangerous x-rays); and low cost. The main
                 Weighting function        Loss in dB           disadvantages restricting the usage of these devices in some
                                                                types of radar transmitters are the following: inability to
              Uniform (rectangular)  0
                                                                ensure coherence from pulse  to pulse (without using some
              Cosine                1.0                         special measures, such as frequency and phase-locking tech-
                                                                niques, which are complicated and not generally attractive);
              Cosine-squared        1.8
                                                                insufficient range of pulse shaping (an order of few decibels);
                                                                inherent frequency drift and frequency modulation by micro-
              Taylor                0.1 -  0.0041(G + 15)
                                               s
                                                                phonics from ambient vibration; insufficient stability for gen-
              Dolph-Chebyshev       0.01 -  0.05(G + 15)        erating very long pulses (more than 100 ms) and very short
                                              s
                                                                pulses (less than 50 ns); and high spurious power level that
              G is the design sidelobe level in dB relative to the main-
                s
              lobe peak (from Barton (1993), Table 3.2, p. 98)  produces considerable electromagnetic interference across the
                                                                bandwidth that is much wider than that of their signals. SAL
                                                                Ref.: Ewell (1981), pp. 22–37; Skolnik (1980), pp. 192–200, (1990), pp. 4.5–
                                                                   4.9; Currie (1987), p. 448; Brookner (1988), pp. 263, 317; Sivan (1994),
                                                                   Ch. 6.
                                  M
                                                                A coaxial magnetron is one of the most common forms of
                                                                magnetron, in which the stabilizing cavity surrounds the con-
           MAGIC- [HYBRID-] TEE (see BRIDGE, waveguide).        ventional resonators (Fig. M1). In such a configuration the
                                                                straps are removed and the p-mode is controlled by coupling
           A MAGNETRON is a crossed-field microwave tube (oscil-
                                                                alternate resonators to a cavity surrounding the anode, giving
           lator) characterized by the interaction of electrons with the
                                                                an improvement in power, efficiency, frequency stability, and
           electric field of circuit element in crossed steady electric and
                                                                life over the conventional magnetron. SAL
           magnetic fields and converting to an RF power an output
           energy extracted from a constant electric field.     Ref.: Skolnik (1980), p. 193.
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