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Brussard, G., and D. V. Rogers. 1990. Propagation Considerations in Satellite Communication Systems. Proc. IEEE, Vol. 78, No. 7, July, pp. 1275 1282. CCIR Report 263-5. 1982. Ionospheric Effects upon Earth-Space Propagation. 15th Plenary Assembly, Vol. VI, Geneva, pp. 124 146. CCIR Report 564-2. 1982. Propagation Data Required for Space Telecommunication System. 15 Plenary Assembly, Vol. IX, Part 1, Geneva.
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CCIR Report 719-1. 1982. Attenuation by Atmospheric Gases. 15th Plenary Assembly, Vol. V, Geneva, pp. 138 150. Ippolito, L. J. 1986. Radiowave Propagation in Satellite Communications. Van Nostrand Reinhold, New York. Miya, K. (ed.). 1981. Satellite Communications Technology. KDD Engineering and Consulting, Japan.
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5.1 Introduction In the far field zone of a transmitting antenna, the radiated wave takes on the characteristics of a transverse electromagnetic (TEM) wave. Far field zone refers to distances greater than 2D2/l from the antenna, where D is the largest linear dimension of the antenna and l is the wavelength. For a parabolic antenna of 3 m diameter transmitting a 6-GHz wave (l 5 cm), the far field zone begins at approximately 360 m. The TEM designation is illustrated in Fig. 5.1, where it can be seen that both the magnetic field H and the electric field E are transverse to the direction of propagation, denoted by the propagation vector k. E, H, and k represent vector quantities, and it is important to note their relative directions. When one looks along the direction of propagation, the rotation from E to H is in the direction of rotation of a right-hand-threaded screw, and the vectors are said to form a right-hand set. The wave always retains the directional properties of the right-hand set, even when reflected, for example. One way of remembering how the right-hand set appears is to note that the letter E comes before H in the alphabet and rotation is from E to H when looking along the direction of propagation. At great distances from the transmitting antenna, such as are normally encountered in radio systems, the TEM wave can be considered to be plane. This means that the E and H vectors lie in a plane, which is at right angles to the vector k. The vector k is said to be normal to the plane. The magnitudes are related by E HZ0, where Z0 120p . The direction of the line traced out by the tip of the electric field vector determines the polarization of the wave. Keep in mind that the electric and magnetic fields are varying as functions of time. The magnetic field varies exactly in phase with the electric field, and its amplitude is proportional to the electric field amplitude, so it is only necessary
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Figure 5.1 Vector diagram for a transverse electromagnetic (TEM) wave.
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to consider the electric field in this discussion. The tip of the E vector may trace out a straight line, in which case the polarization is referred to as linear. Other forms of polarization, specifically elliptical and circular, will be introduced later. In the early days of radio, there was little chance of ambiguity in specifying the direction of polarization in relation to the surface of the earth. Most transmissions utilized linear polarization and were along terrestrial paths. Thus vertical polarization meant that the electric field was perpendicular to the earth s surface, and horizontal polarization meant that it was parallel to the earth s surface. Although the terms vertical and horizontal are used with satellite transmissions, the situation is not quite so clear. A linear polarized wave transmitted by a geostationary satellite may be designated vertical if its electric field is parallel to the earth s polar axis, but even so the electric field will be parallel to the earth at the equator. This situation will be clarified shortly. Suppose for the moment that horizontal and vertical are taken as the x and y axes of a right-hand set, as shown in Fig. 5.2a. A vertically polarized electric field can be described as Ey y Ey sinwt (5.1)
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where y is the unit vector in the vertical direction and Ey is the peak value or amplitude of the electric field. Likewise, a horizontally polarized wave could be described by Ex x Ex sinwt (5.2)
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These two fields would trace out the straight lines shown in Fig. 5.2b. Now consider the situation where both fields are present simultaneously.
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