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CCIR Report 564-2. 1982. Propagation Data Required for Space Telecommunication System. 15 Plenary Assembly, Vol. IX, Part 1, Geneva. Hogg, D. C., and T. Chu. 1975. The Role of Rain in Satellite Communications. Proc. IEEE, Vol. 63, No. 9, pp. 1308 1331. Ippolito, L. J. 1986. Radiowave Propagation in Satellite Communications. Van Nostrand Reinhold, New York. Maral, G., and M. Bousquet. 1998. Satellite Communications Systems. Wiley, New York. Miya, K. (ed.). 1981. Satellite Communications Technology. KDD Engineering and Consulting, Japan.
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6.1 Introduction Antennas can be broadly classified according to function as transmitting antennas and receiving antennas. Although the requirements for each function, or mode of operation, are markedly different, a single antenna may be, and frequently is, used for transmitting and receiving signals simultaneously. Many of the properties of an antenna, such as its directional characteristics, apply equally to both modes of operation, this being a result of the reciprocity theorem described in Sec 6.2. Certain forms of interference (see Chap. 13) can present particular problems for satellite systems which are not encountered in other radio systems, and minimizing these requires special attention to those features of the antenna design which control interference. Another way in which antennas for use in satellite communications can be classified is into earth station antennas and satellite or spacecraft antennas. Although the general principles of antennas may apply to each type, the constraints set by the physical environment lead to quite different designs in each case. Before looking at antennas specifically for use in satellite systems, some of the general properties and definitions for antennas will be given in this and the next few sections. As already mentioned, antennas form the link between transmitting and receiving equipment, and the space propagation path. Figure 6.1a shows the antenna as a radiator. The power amplifier in the transmitter is shown as generating PT W. A feeder connects this to the antenna, and the net power reaching the antenna will be PT minus the losses in the feeder. These losses include ohmic losses and mismatch losses. The power will be further reduced by losses in the antenna so that the power radiated, shown as Prad, is less than that generated at the transmitter.
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(a) Transmitting antenna. (b) Receiving antenna.
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The antenna as a receiver is shown in Fig. 6.1b. Power Prec is transferred to the antenna from a passing radio wave. Again, losses in the antenna will reduce the power available for the feeder. Receiver feeder losses will further reduce the power so that the amount PR reaching the receiver is less than that received by the antenna.
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6.2 Reciprocity Theorem for Antennas The reciprocity theorem for antennas states that if a current I is induced in an antenna B, operated in the receive mode, by an emf applied at the terminals of antenna A operated in the transmit mode, then the same emf applied to the terminals of B will induce the same current at the terminals of A. This is illustrated in Fig. 6.2. For a proof of the reciprocity theorem, see for example, Glazier and Lamont (1958).
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The reciprocity theorem.
A number of important consequences result from the reciprocity theorem. All practical antennas have directional patterns; that is, they transmit more energy in some directions than others, and they receive more energy when pointing in some directions than others. The reciprocity theorem requires that the directional pattern for an antenna operating in the transmit mode is the same as that when operating in the receive mode. Another important consequence of the reciprocity theorem is that the antenna impedance is the same for both modes of operation.
6.3 Coordinate System In order to discuss the directional patterns of an antenna, it is necessary to set up a coordinate system to which these can be referred. The system in common use is the spherical (or polar) coordinate system illustrated in Fig. 6.3. The antenna is imagined to be at the origin of the coordinates, and a distant point P in space is related to the origin by the coordinates r, , and . Thus r is the radius vector, the magnitude of
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