ssrs 2014 barcode b sin b l0 c sin X d X in Software

Create QR Code JIS X 0510 in Software b sin b l0 c sin X d X

b sin b l0 c sin X d X
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(6.41) (6.42)
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where X ( a/l0)sin , and l0 is the free space wavelength. Equation (6.42) will be seen to be similar to Eq. (6.23). A plot of these functions, for a half wavelength patch is shown in Fig. 6.31. In practice the length of each side
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Antennas
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A patch antenna and its coordinate system.
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1 0.9 0.8 0.7 0.6 g(q, f = 90 ) g(q, f = 0) 0.5 0.4 0.3 0.2 0.1 0 90 72 54 36 18 0 18 q degrees
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of the patch is less than half the free space wavelength because the phase velocity vp of the wave is less than the free space value. Recall that lf vp, where l is the wavelength and f the frequency, and the phase velocity of a wave in a dielectric medium of relative permittivity er is c> 2er, where c is the free space velocity of an electromagnetic wave. For a microstrip board of thickness 1.59 mm and a relative permittivity of 2.32, at a frequency of 10 GHz, the side length is 0.32l0 where l0 is the free space wavelength [see James et al., 1981, (Table 5.3)]. Other geometries are in use, for example circular patches (disc patches), and coplanar boards and stripline boards are also used. The patch dimensions are usually half or quarter board wavelength. Figure 6.32a shows a disc element with a balanced coaxial feed. Figure 6.32b shows a copolanar waveguide construction. Here the board has ground planes on both sides, which are bonded together. The antenna element is etched into one of the ground planes. Figure 6.32c shows a triplate construction, Here, a stripline, which is etched on the inner layer of one of the boards, forms a central conductor which passes under the slot in the upper ground plane, the slot forming an aperture antenna. The two dielectrics are glued tightly together, and the ground planes are bonded together too. The basic microstrip patch is a linear polarized antenna, but various feed arrangements are in use to convert it to a circularly polarized antenna (see, e.g., James et al., 1981).
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6.19 Planar Arrays The patch antenna is widely used in planar arrays. These are arrays of basic antenna elements etched on one side of a printed circuit board. A multilayer board is normally used so that associated connections and circuitry can be accommodated, as shown in Fig. 6.33. Flat panels are used, and these may be circular (as shown) or rectangular. The use of phase shifters to provide the tracking (beam scanning) is a key feature of planar arrays. The most economical method of beam forming and scanning is mechanical as described in the earlier sections. The beam is formed by a shaped reflector and azimuth and elevation motors provide the scanning. Such motors can also be used with flat panel arrays, as shown in Fig. 6.33, although the beam is formed by phasing of the elements, as described in Sec. 6.17, rather than by means of a mechanical reflector. The beam can be made to scan by introducing a progressive phase shift to the driving voltage applied to the various patch elements. Figure 6.34 shows two basic configurations. In the active configuration, each antenna element has its own amplifier and phase shifter, while in the passive arrangement, a single amplifier drives each element
Antennas
Disc antenna
Ground plane (a)
Balanced coax feed
Ground planes (Bonded together)
Slot antenna
Ground planes (Bonded together)
Stripline (c)
(a) a disc antenna with balanced coaxial feed; (b) a coplanar waveguide antenna; (c) a triplate slot antenna.
through the individual phase shifters. The active arrangement has the advantage that the failure of one amplifier causes degradation but not complete loss of signal, but this has to be offset against the greater cost and complexity incurred.
Electromechanical tracking Flat panel antenna
Motor for EL scanning Wave-guide distributor Down-converter Tracking PCB Motor for AZ scanning (a) Combinational tracking Flat panel antenna Phaseshifters EL scanning Wave-guide distributor Down-converter Tracking PCB Motor for AZ scanning
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