Along with the energy lost or radiated from the dipole, a certain fraction is also returned during each rf cycle. Consequently, the fields near the antenna represent both energy storage and radiation components. However, at points far enough away, the fields can be considered to belong only to the radiation component. Since it is assumed that the rf energy propagates at the same velocity in all directions, the power flowing through any imaginary sphere of a set concentric with an origin at the antenna must be the same. This is illustrated by the dashed circles in Fig. 2C. The circles represent contours of constant delay time. . . .
Fig. 3 -- Transverse electromagnetic wave. Solid lines represent direction of electric field and dashed lines show direction of magnetic field. There are no field components in direction of power flow (arrow labeled S)
The Radiation Resistance of Antennas
Considerable confusion can result if such factors as antenna gain, directivity, efficiency, size, and aperture are not regarded in their proper contests. For instance, experienced amateurs might balk at the fact that the directivity of a half-wavelength dipole is only 1.64 compared with 1.5 for a short dipole giving a difference of 0.4 dB. This would imply that a four-foot dipole on 80 meters for instance, would be just as good as a half-wave version which would correspond to approximately 135 feet! The old amateur-radio adage, "the bigger the better," in regard to antenna performance would seem to be misleading.
However, another factor must be taken into account and that is the radiation resistance "seen" by the source or transmission line when connected to the antenna terminals. It will be recalled in the discussion concerning the radiation process shown in Fig. 2, energy was lost because some of the field lines broke away from the dipole and were propagated into space. In essence then, a "good" antenna configuration is one where the field extends far away from the conductors. Considered from a slightly different point of view, antenna dimensions and associated field shape should be large at the wavelength of operation so that delay effects in the fields caused by currents on different parts of the conductors will be maximum. Most of the field is confined between the plates and only the "fringing" field at the edge of the plates and beyond would contribute to a radiation component. (An exception would be if the dimensions of the capacitor were so large the circumference approached an appreciable fraction of a wave-length. Then, the radiation would be from the fields across the slot and the entire system would be a "dual" of an antenna made from solid conductors. This effect is often of an undesirable nature in regard to designing effective shields out of sheets that are not completely bonded or soldered together. "Leakage " of If energy will occur from the cracks.) A similar effect occurs with the so-called inverted-vee dipole. Instead of a straight dipole, the conductors are run off at an angle from the feed point. This permits the use of one high support with the ends of the antenna tied to lower supports near the ground. However, if the angle of the vee at the apex becomes too sharp, the fields tend to cancel rather than radiate.
Fig, 2 - Modification of electric field when an ac voltage is applied to the antenna terminals, Inset shows charge on the dipole as a function of time.
The result of any of these effects is that the radiation resistance of the antenna becomes very low in value. This means that a high current is required to produce the same radiated power in comparison with an antenna with a higher value of radiation resistance. As a consequence, the effects of losses in such devices as matching networks, ground systems, and similar areas where currents are required to produce the radiated field become significant. A point may be reached where more power is dissipated in the losses than radiated. In cases where the losses can be neglected, the gain and directivity are the same. But while the directivity may remain the same, the antenna gain will decrease as the effect of antenna loss increases. As pointed out earlier, a small-sized antenna has the capability of being a good performer, but considerable care must be taken to insure losses do 'not offset any advantages. Also, since the ratio of energy stored to energy lost in the form of radiation (per rf cycle) is- greater in a smaller antenna compared to a larger one (at the same frequency), the bandwidth becomes smaller. The ratio of energy stored to energy lost will be recognized as being proportional to the Q of ordinary circuit theory. Hence, a small antenna represents a high-Q system and less frequency variation is permitted before retuning will be required. |