Advanced Antenna Array Engineering for 6G and Beyond Wireless Communications. Richard W. Ziolkowski
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СКАЧАТЬ losses are reduced at higher altitudes where the air is thinner. Examining Figure 1.9 more closely, it is little wonder that the current “first choice” for commercial 5G rollouts of mm‐wave systems is at the lower end of the mm‐wave range, i.e., around 28 GHz.

Schematic illustration of specific atmospheric attenuation at the indicated altitude h and for several exemplary weather and air conditions.

      Source: Based on [16] / IEEE.

      Certain important advantages for 5G operations are offered by mm‐wave systems. One is that high‐gain mm‐wave antenna arrays can be realized over physically small areas because the associated wavelengths are small (recall that the gain of an aperture antenna – Gain = 4π Area/λ2). In fact, given the inherent high propagation losses of their radiated fields, high‐gain antennas are needed for virtually all mm‐wave communication systems. As a result, it has become imperative to develop mm‐wave beamforming networks to support multi‐beam mm‐wave antennas. In the current 3GPP standards for 5G mm‐wave, for example, user equipment (UE) or terminals are required to have an array antenna with between 8 and 64 elements [17].

      Currently, the most common definition of the THz band is that it consists of frequencies from 0.3 to 3.0 THz. Recall that the wavelength at 0.3 THz (300 GHz) is just 1.0 mm. Owing to the fact that THz wavelengths are even smaller than the mm‐wave ones, very narrow multiple beams with low probability of intercept (LPI) can be generated from very physically small areas. Beam steering and target tracking again will be indispensable features for THz antennas.

      Referring to Figure 1.9, signal attenuation in the lower portion of the THz range is even more severe than in the mm‐wave band. Thus, high‐gain antenna arrays are even more necessary for anticipated 6G operations. Other important related THz technologies that must also be developed to address 6G expectations are high power sources and highly sensitive receivers [20]. Feeding a large array of THz antenna elements of 0.5λ in size using a corporate network is a daunting engineering task. Therefore, it has not been favoured to date. Instead, a more promising approach is to employ an electrically large lens fed by a simple radiating element such as a dipole or a slot or even a small array. To ease the problem of the precise alignment of the antenna and lens, one could integrate the antenna feed with the lens. Antennas with this characteristic are known as integrated lens antennas [20–22].

      A number of different types of lens antennas operating in the mm‐wave and THz bands have been reported [21–25]. These include the elliptical lens, extended hemispherical lens, and Fresnel zone lens. Each has its own unique physical and performance characteristics.

      A homogeneous elliptical lens has two focal points. It can transform the radiation pattern of a feed placed at one focal point into a plane wave exterior to it propagating in the direction of the second focal point. Assuming a represents the major semiaxis, b represents the minor semiaxis, L represents the distance between the focal point of the feed to the centre of the ellipsoid, and n is the index of refraction of the dielectric from which the lens is fabricated, one has the following relationships:

      (1.1)equation

      (1.2)equation

Schematic illustration of (a) an integrated elliptical lens antenna and (b) an extended hemispherical lens antenna.

      (1.3)equation

      (1.4)equation

      where n1, n2, and nmatch represent the refraction indexes of the lens, the air, and the matching shell. The main drawback of this approach is that the improved matching performance can only be maintained within a relatively narrow bandwidth. To improve the bandwidth, one can incorporate multiple consecutive matching layers to perform a gradual transition between the two dielectric constants across each interface.

      Since the collimation from an elliptical lens only occurs for the portion of the wave front that impinges on its front surface, the part below its waist can be replaced with a cylinder. Furthermore, the top elliptical part, the hemi‐ellipse, can be approximated by a hemisphere. This modification significantly reduces the fabrication complexity. The difference in the height of the hemi‐ellipse and the hemisphere can be compensated by the height of the cylindrical extension. This new lens is known as an extended hemispherical lens. It turns out to be a rather good approximation to a true elliptical lens, although it tends to present a slightly lower directivity compared to one having the same diameter. The relationship between the radius of the hemisphere, R; the height of the cylinder under it, L; and the refraction index of the lens material, n, is given by