[0001] The invention concerns a shaped reflector antenna with sector coverage that, set
up nearby a settlement, makes possible the distribution of the signal towards the
users located in the antenna's sector of coverage for a maximum distance that depends
on the power of the transmitting system. The invention finds its use in the field
of microwave and millimeter-wave antennas, with shaped reflectors, with sector coverage.
[0002] What is proposed with this invention is to create an antenna able to radiate energy
towards its various users in such fashion that they enjoy an identical signal/noise
ratio on reception, i.e. one that is independent of the distance between transmitting
and receiving antennas. The subject then of the invention is an antenna having a radiation
pattern constant in azimuth over an angular sector chosen on the basis of the angle
of view of the served area, and shaped in the vertical plane in such fashion as to
assure a signal/noise ratio independent of the distance between the two antennas of
the link.
[0003] The originality of the antenna lies in the shaping, or configuration, of the reflector,
which, rather than being concave, as in traditional single-reflector antennas, has
its vertical sections vaguely concave, and its horizontal sections convex.
[0004] The shape of the surface of the shaped reflector is the result of a process of optimization
based on a two-dimensional series expansion of the surface function, one that is not
susceptible of representation in closed form with a simple algebraic expression.
[0005] The antenna in question was conceived essentially to solve such problems as that
of the "last mile", which comes up in the laying of the national fiber optics network,
where enormous difficulties of application are encountered. At issue is an alternative
to the laying of fiber optics.
[0006] By the "last mile" is meant, as those concerned know, that territory in which it
is necessary to carry out work to connect users to a central cable laid by any telephone
company that does not concern itself with the connection of the central cable to the
user, which may be, for example, a condominium apartment building. A telephone company
undertakes to convert its systems up to the point that is within its jurisdiction;
however, the condominiums that must permit the laying of the cables will generally
not agree to undertake the expensive masonry works needed to modify their systems.
[0007] To give an example, in Venice the laying of fiber optics was forbidden for reasons
having to do with the protection of artworks.
[0008] With the solution proposed here, all the work required for the last mile is saved.
[0009] One solution to the problem of the last mile is then a microwave connection between
a transmitting station and the various surrounding users. But this antenna, conceived
essentially to resolve the problem of the last mile, can find many other applications
as well: for example, it could be used in private communications systems for data
transmission. Analogously, it could find use too in military applications, for connections,
whether improvised or stable, over distances of the order of tens of kilometers or
even more.
[0010] To the inventor's knowledge, to date there are no similar solutions, or even analogous
ones.
[0011] The invention is now to be discribed on the basis of a version currently preferred
by the inventor, reference being made to the figures listed below:
[0012] Fig. 1 - Sector antenna as a whole set up in operating position.
[0013] Fig. 2 - Position of the antenna in a service area.
[0014] Fig. 3 - Schematic representation of the shaped reflector, as this results from calculations
[0015] Fig. 4 - Schematic representation of the reflector seen in profile.
[0016] Fig. 5 - Radiation pattern in the vertical plane.
[0017] Fig. 6 - Schematic representation of the antenna.
[0018] Fig. 7 - Radiation pattern in the horizontal plane.
[0019] On the basis of fig. 1, the sector antenna structure is composed of a shaped reflector
1 connected to boom 3 supporting the horn 2, the whole being supported by an element
5 that forms the interface with the tower 4 that supports the entire antenna, needed
to so position the antenna as to enable it to "see" the buildingtops in the settlement
of concern,and member 6 (shown inFig.6) for positioning the horn.
[0020] The shaped reflector 1 (fig. 4) displays a convexoidal configuration. By "convexoidal"
is meant that it has a partly convex configuration. In order to better understand
the shaping of the reflector, observe that the central horizontal section AB through
the reflector is definitely convex. The central vertical section through the reflector
is so delineated (fig. 4) as to present a parabolic section, one slightly deformed
as follows:
[0021] Section EF is parabolic, and therefore concave, while section FD is convex in such
fashion as to generate the shaping of the reflector and of the beam in the vertical
plane.This aspect is to be considered original, especially when compared with earlier
solutions, which instead all present a concave configuration.
[0022] This convexity of the central horizontal section through the reflector AB, is what
enables the distribution of the signal with constant amplitude over a rather extensive
angular sector. On the other hand, the central vertical section enables the distribution
of the signal with an amplitude such as to assure the same signal/noise ratio whatever
the "transmitting-antenna/user" distance, over the entire angular sector served.
[0023] Fig. 3 shows a graphic representation obtained from the computer on the basis of
the method to be described further on. Fig. 2 furnishes an example of how the antenna
is to be set up in the neighborhood of a settlement.
[0024] Figure 1 furnishes an overall view of the antenna installed. Fig. 5 is a radiation
pattern in the vertical plane, shown in order to display the shaping of the radiated
beam that is necessary to assure a constant signal/noise ratio, whatever the distance
between user and sector antenna. Fig. 7 is a radiation pattern in the horizontal plane,
included to show the uniformity of the radiation obtained in an angular sector of
some 70 degrees of aperture.
[0025] The function describing the shaped reflector surface is not susceptible of being
represented in closed form using a simple algebraic expression, but is found through
an optimization process based on its two-dimensional series expansion, and thus has
nothing in common with the functions describing radar antennas in which the optimization
process develops but one of the two reflector sections, since the other is exclusively
parabolic in form. It is important to bring out that the reflector can also be built
with a gridded structure, so as to radiate, where such is needed, very low levels
of cross-polarization.
[0026] The optimization process mentioned, needed to synthesize the function describing
the antenna forming the subject of the patent application, starts with a quadric surface
in such manner as to generate a defocussing of the reflector-horn optical system;
this tends to generate a rather wide antenna beam, one such as to cover the angular
sector served. To make this clear, the desired result can be obtained by the method
described below.
[0027] An arbitrary surface g(x,y) can be represented with a Zernike series

which converges within a circle x
2 + y
2 ≤ 1. The coefficients of expansion b
mm can be determined by the relation of orthogonality

where

[0028] In
(1) the asterisk(*) denotes the complex conjugate. A special property of the Zernike
polynomials is that they have a polar form:


where R
mn is a polynomial of nth degree in ρ.
[0029] Since the reflector surface is real, it is convenient to use the imaginary and real
parts of V
mn(x,y)


It is clear that

so that only the functions Z and U with positive and zero values of m are needed
in the expansion of a real function.
[0030] On the basis of the equations
(6) it is seen that the first polynomials become:

[0031] The polynomials Z
nm are even functions of y, while the polynomials U
nm are odd functions of y.


[0032] An arbitrary real function g(x,y) can be approximated by a truncated Zernike series
as follows:

[0033] A special feature of the method used, for the antenna design in question, is the
limited number of coefficients considered in the optimization process, that is, only
Zernike polynomials of order less than ten need be considered.
[0034] The reflector has an overall shaping function, one that cannot be broken down into
two separate shaping functions; it is thus the result of an overall two-dimensional
shaping process.
[0035] In the following the values of the Zernike coefficients evaluated on designing a
sector coverage antenna for a typical application are reported:

1. Shaped reflector antenna with sector coverage, including (fig. 1) a shaped reflector
(1) with circular aperture (boundary), a corrugated conical horn (2), a support boom
(3) for the horn , a support member (4) and a mechanical interface (5) for fastening
the reflector (1) to the support member (4), characterized by the fact that said reflector
(1) has a definitely convex central horizontal section AB (fig. 4), while regarding
the central vertical section the portion EF follows a parabolic curve and is therefore
concave, while portion FD is convex.
2. Shaped reflector antenna with sector coverage, according to claim 1, characterized
by the fact that the shaped reflector surface is obtained by means of an optimization
process based on a two-dimensional series expansion of the function describing the
surface (the function itself not being closed form); being said optimization process
carried out by starting with a quadric surface able to generate a defocussing of the
optics of the reflector that tends to generate a rather wide antenna beam, one such
as to cover the angular sector served.
3. Shaped reflecting antenna with sector coverage, according to claim 2 , characterized
by the fact that the Zernike polynomials used are only those of rather small orders
m and n: i.e., less than 10.
4. Antenna, according to claim 1, characterized by the fact that the reflector can also
be made up from a gridded structure.