JP3440687B2 - Mirror shaped shaped beam antenna - Google Patents

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a mirror-modified shaped beam antenna mounted on, for example, a satellite and efficiently covering a coverage of a desired shape.

[0002]

2. Description of the Related Art Conventionally, there is a mirror-modified shaped beam antenna as shown in FIG. This figure is shown in Japanese Patent Application Laid-Open No. 3-179903. In the figure, 1 is a modified mirror surface, 5 is a minute plane mirror constituting the modified mirror surface 1, and 2 is a primary radiator. The micro plane mirror 5 is a plane perpendicular to the z axis in FIG.

Next, the operation will be described. FIG. 9 corresponds to FIG.
3 is a cross-sectional view in the xz plane of the antenna shown in FIG. To the minute plane mirror 5 constituting the modified mirror surface 1, each parallel movement amount (modification amount) is given from the parabolic surface 3 set as an initial value in the z-axis direction perpendicular to the minute plane mirror 5. The radio wave emitted from the primary radiator 2 is reflected by the modifying mirror surface 1. Here, when the minute plane mirror 5 is considered as an element antenna, this mirror-modified shaped beam antenna is an array antenna that uses the minute plane mirror 5 arranged along the parabolic surface 3 as an element antenna. It can be considered that it is equivalent to that only the excitation phase has changed corresponding to the modification amount of 5.

FIG. 10 is a diagram showing this equivalent array antenna. In the figure, 3 is a parabolic surface, 6 is a micro plane mirror 5.
Is an element antenna corresponding to the element antenna, 7 is a power distributor that distributes the power corresponding to the radio wave reflected by each micro plane mirror 5 to the element antenna, and 8 is a transfer that gives a phase amount corresponding to each adjustment amount of the micro plane mirror 5. It is a phaser. The element antenna 6 is arranged along the parabolic surface 3. The radiation field of the element antenna 6 is easily obtained by integrating the current induced by the primary radiator 2 on the micro plane mirror 5 on the micro plane mirror 5. The radiation field of a mirror-modified shaped beam antenna can be approximated by combining the radiation fields of an equivalent array antenna composed of this element antenna. Therefore, the phase of the phase shifter 8 that realizes a shaped beam of a desired shape is obtained by some method such as the steepest descent method, and the microscopic plane mirror 5 is translated (modified) in the z-axis direction by an amount corresponding to this phase. By doing so, a mirror-modified shaped beam antenna can be designed.

When the modified mirror surface 1 is composed of the minute plane mirrors 5, a step is generated between the adjacent minute plane mirrors.
The scattering caused by the step causes not only the deterioration of the side lobe characteristic at a wide angle and the deterioration of the cross polarization characteristic but also a problem in manufacturing. Therefore, in reality, a modified mirror surface that is approximately equal to the modified mirror surface configured by the minute flat mirrors is used by smoothly connecting the minute flat mirrors.

[0006]

As described above, in the conventional mirror-modified shaped beam antenna, the modification amount of the modified mirror surface is designed based on the excitation phase of the equivalent array antenna using the micro-planar mirror as the element antenna. When there is a sudden phase change between the element antennas, a step is formed between the corresponding minute plane mirrors, and there is a problem that a smooth minute plane mirror cannot be constructed. Furthermore, since the element antenna that constitutes the equivalent array antenna is designed by approximating it with a small plane mirror that is perpendicular to the z-axis, the radiation field from the actual modified mirror surface that forms a certain angle with respect to the z-axis is sufficient. There is a problem in that it cannot be approximated, and a mirror-modified shaped beam antenna that radiates a shaped beam of a desired shape cannot be accurately designed.

The present invention has been made in order to solve the above-mentioned problems, and it is possible to accurately design a mirror-modified shaped beam antenna configured by a smooth mirror surface that radiates a shaped beam of a desired shape. With the goal.

[0008]

According to a first aspect of the present invention, there is provided a mirror-modified shaped beam antenna designing method , comprising: a primary radiator;
In a mirror-reformed beam antenna that has a modified mirror surface that reflects the radio wave radiated from the primary radiator to shape it into a desired beam shape, a function that represents the antenna surface before modification.
And the beam shape by the antenna surface expressed by this function is
An approximate beam shape and object corresponding to the above desired beam shape
The first one, which represents the amount of modification of the antenna surface that is
For the modification function and the modification amount by this first modification function
A continuous function composed of a second modification function that represents the correction amount
The shape of the above-mentioned modified mirror surface is represented by
The beam shape by the modified mirror surface expressed by the number is
Objective function that takes a small value as it approaches the beam shape
Is defined as above and the value of this objective function is minimized.
By optimizing the parameters of the modification function of 2 above
The shape of the modified mirror surface is designed .

According to the mirror surface modified shaped beam antenna designing method of the second aspect of the present invention, a continuous function representing the modified mirror surface is expressed as
The modified mirror surface is determined by using a continuous function including at least an interpolation function that connects a plurality of sample points set on the modified mirror surface and optimizing the coordinates of the sample points so that the objective function is minimized.

According to the third aspect of the present invention, there is provided a mirror-modified shaped beam antenna design method , wherein sample points on the modified mirror surface are arranged along a direction of a light ray which is incident from the primary radiator to each sample point on the modified mirror surface. The modified mirror surface is determined by displacing and optimizing so as to minimize the above objective function.

According to a fourth aspect of the present invention, there is provided a mirror-modified shaped beam antenna design method, wherein the gains in a plurality of (N) directions for specifying the desired beam shape are G _n (n = 1 to 1).
N), and the target gain in each direction is G _0n (n = 1 to N)
And the above objective function is defined as the maximum value of n (n = 1 to N) of G _0n −G _n .

According to the mirror-modified shaped beam antenna designing method of the fifth aspect of the present invention, the gains in a plurality of (N) directions for specifying the desired beam shape are G _n (n = 1 to 1).
N), and the target gain in each direction is G _0n (n = 1 to N)
And the above objective function is defined as the sum of squares of n (n = 1 to N) of G _0n −G _n .

According to a sixth aspect of the present invention, there is provided a mirror-modified shaped beam antenna design method , wherein a plurality of (F) frequencies within a required band and a plurality of (N) for specifying the desired beam shape are specified.
N directions of the f (f = 1 to F) -th frequency are selected.
The gain for the (n = 1 to N) th direction is G _{f, n} (f =
1 to F; n = 1 to N), and the target gain for each is G
_{0f, n} (f = 1 to F; n = 1 to N), and the objective function is G _{0f, n-} G _{f, n} f (f = 1 to F), n (n = 1 to N)
Is defined as the maximum value of.

According to a seventh aspect of the present invention, there is provided a mirror-modified shaped beam antenna design method , wherein a plurality of (F) frequencies within a required band and a plurality (N) of the desired beam shapes are specified.
N directions of the f (f = 1 to F) -th frequency are selected.
The gain for the (n = 1 to N) th direction is G _{f, n} (f =
1 to F; n = 1 to N), and the target gain for each is G
_{0f, n} (f = 1 to F; n = 1 to N), and the objective function is G _{0f, n-} G _{f, n} f (f = 1 to F), n (n = 1 to N)
Is defined as the sum of squares of.

In the mirror-modified shaped beam antenna designing method according to the present invention, a plurality of predetermined polarizations or a plurality of frequencies within the required band are used instead of a plurality of (F) frequencies within the required band. It is a combination with a predetermined plurality of polarized waves.

[0016]

BEST MODE FOR CARRYING OUT THE INVENTION Embodiment 1 of the Invention FIG. 1 is a schematic configuration diagram showing a first embodiment of the invention of this mirror-modified shaped beam antenna. In the figure, 1 is a modified mirror surface and 2 is a primary radiator. The modified mirror surface 1 is represented by a continuous function including appropriate M parameters a _m (m = 1 to M) as in the following equation. z = f; Examples of _{(x, y a m) (} 1) This function, for example, can be considered a function as follows. f (x, y; a _m ) = f ₀ (x, y) + δf (x, y; a _m ) (2) where f ₀ (x, y) is a function representing the parabolic surface before modification, or , δf (x, y; a m) modification function is a continuous function representing the modification amount, is a _m is a parameter modification functions.

Next, the operation will be described. 2 is shown in FIG.
FIG. 3 is a cross-sectional view in the xz plane of the mirror-modified shaped beam antenna according to the first embodiment of the invention shown in FIG. In FIG. 2, reference numeral 3 is a parabolic surface, and those having the same numbers as in FIG. 1 are equivalent to those in FIG. 1 and have the same function. In the radiation field of the mirror-modified shaped beam antenna, the electric current induced on the modified mirror surface 1 by the radio wave radiated from the primary radiator 2
Obtained by integrating above. Here, the coordinate of the modified mirror surface 1 is the parameter a as expressed by the equation (1).
because it is represented by a known function continuous including _m, if the primary radiator 2 of shape and dimensions, etc. are determined, the radiation field of the shaped reflector shaped beam antennas, continuous known function including parameters a _m Can be expressed as Therefore, as will be described later, the objective function is defined so that the beam shape approaches a desired shape as its value decreases, and the parameter a _m is selected as an optimization variable to perform nonlinear optimization such as steepest descent method. When the parameter a _m is optimized using the method,
It is possible to design a mirror-modified shaped beam antenna that achieves a desired beam shape. In the conventional example, the modified mirror surface 1 is designed by approximating it with an equivalent array antenna using a small plane mirror perpendicular to the z axis as an element antenna. However, in the embodiment of the present invention, the modified mirror surface 1 is set to the parameter a _m (m = 1.
Since it is expressed by a continuous known function including M), the modified mirror surface can be a smooth mirror surface, and the radiation field is evaluated and designed in consideration of the angle formed by the modified mirror surface with the z-axis. A characteristic is that a mirror-modified shaped beam antenna that radiates a shaped beam of the shape can be accurately designed.

Further, the modification function δf (x, y; a _m ) is
By considering it in two parts as in the following equation,
Further, the efficiency of design can be improved. δf (x, y; a _m ) = δf ₁ (x, y; a _m1 ) + δf ₂ (x, y; a _m2 ) (3) where δf ₁ (x, y; a _m1 ) is _T.I. KATAGI
and Y. TAKEICHI, “Shaped-b
eam horn reflector antenna
as, "IEEE Trans.Antennas &
Propagat. , Vol. AP-23, no.
6, pp. 757-763, Nov. 1975, it is a modification function for controlling the wavefront after reflection on the mirror surface, and since the function of the function matches the physical intuition, it is effective for mirror surface modification to realize a rough beam shape. δf ₂
(X, y; a _m2 ) is a modification function δf ₁ (x, y; a _m1 )
A correction function that corrects, for example, Takashi Kataki, Takashi Ebisi,
The function used in the plane wave synthesis method as shown in "Shaped beam antenna by plane wave synthesis method", IEICE Technical Report, AP83-50, August 1983 can be applied. The design is as follows. First, the modification function δf ₁ (x, y; a
_m1 ) is applied to perform mirror finishing to obtain a rough beam shape. Here, since it is a rough mirror surface modification, the parameter a _m1 (m ₁ = _{1 to} M ₁ ) of the modification function is
It may be decided by trial and error. Then, to achieve the desired beam shape by controlling the more detailed beam shape, retouching function _{δf 2 (x, y; a} m2) performs mirror surface adjustment with. At this time, the parameter of the modification function a _m2 (m ₂ = M ₁
+1 to M), the objective function is
It is effective to define the beam shape so that it becomes closer to a desired shape as the value becomes smaller, select the parameter a _m2 as an optimization variable, and apply a nonlinear optimization method such as the steepest descent method. By performing mirror surface modification by, for example, numerical analysis in such a procedure, it is possible to efficiently design a modified mirror surface that realizes a desired beam shape without falling into a local solution during numerical optimization. .

As the objective function that the radiation field of the mirror-modified shaped beam antenna approaches the desired beam shape as the above-mentioned value becomes smaller, the gains in N directions representative of the desired beam shape are represented by G _n ( n = 1 to N), and the target gain in each direction is G _0n (n = 1 to N), G
The maximum value for _n of _0n- Gn (n = 1 to N) is considered. Alternatively, the sum of squares of n (n = 1 to N) of G _0n −G _n may be used.

Embodiment 2 of the Invention FIG. 3 is a sectional view in the xz plane of a mirror-modified shaped beam antenna according to the second embodiment of the invention. In the figure, 4 is a sample point on the mirror surface,
Those designated by the same reference numerals as those in FIG. 2 are equivalent to those in FIG. 2 and have similar functions. In the embodiment of the present invention, equation (3)
Of the modifying functions that express the modifying mirror surface 1 given by,
δf ₂ is an appropriate interpolation function that connects sample points as given by the following equation. _{δf 2 = δf 2 (x,} y; x m, y m, Δz m) (4) _{where, δf 2 (x, y;} x m, y m, Δz m) is an interpolation function representing the modification amount , Delta] z _m is the modification of the z-axis direction by the modification function delta] f ₂ at the sampling point x _m, y _m.
The displacement (correction) of the sample point 4 on the mirror surface is performed in a specific direction defined for each point. Equation (4) is used to convert the sample point 4 on the mirror surface to z
This is an equation for displacing (modifying) in the axial direction.

In the embodiment of the present invention, since the interpolation function for connecting the sample points on the mirror surface is used as the function for expressing the modified mirror surface, when the desired beam shape is complicated and complicated mirror surface modification is required. In addition, by increasing the number of sample points on the mirror surface and increasing the degree of freedom of mirror surface modification, complicated mirror surface modification can be easily performed. On the other hand, when the desired beam shape is not so complicated and the degree of freedom for mirror surface modification is not so high, the efficiency of design can be improved by reducing the number of sample points on the mirror surface. In addition, depending on the beam shape, it may be necessary to locally perform complicated mirror surface modification.In such a case, increasing the number of sample points on the mirror surface only in the part that requires complex mirror surface modification. It is possible to design a mirror-modified shaped beam antenna that efficiently emits a beam having a desired shape.

Third Embodiment of the Invention FIG. 4 is a sectional view in the xz plane of a mirror-modified shaped beam antenna according to the third embodiment of the invention. In the figure, the parts with the same numbers as in FIG. 3 are equivalent to those in FIG. 3 and have the same function. In the embodiment of the present invention, δf ₂ among the modifying functions expressing the modified mirror surface 1 given by the equation (3) is represented by using an appropriate interpolation function for connecting the sample points, and The displacement (correction) is the direction of the light beam incident on the modified mirror surface 1 from the primary radiator 2. By doing so, the direction of each point on the modified mirror surface 1 as seen from the primary radiator 2 becomes constant regardless of the modification amount, so that each point on the modified mirror surface of the radio wave emitted from the primary radiator 2 Since the contribution to the current becomes constant, the intensity of the current induced at each point on the modified mirror surface 1 can be approximated to be almost constant regardless of the modification amount, and the calculation amount when optimizing the modification parameter can be reduced. The calculation time can be shortened.

Fourth Embodiment of the Invention FIG. 5 is a schematic configuration diagram of a mirror-modified shaped beam antenna according to a fourth embodiment of the invention. In the figure, the parts with the same numbers as in FIG.
Equivalent and works the same. The embodiment of the present invention is an example in which a plurality of primary radiators 2 are used to increase the degree of freedom in beam shaping and to radiate a shaped beam having a more complicated shape. When designing this antenna, not only the parameters of the continuous function representing the modified mirror surface but also the parameters such as the size and arrangement of the openings of each primary radiator, the excitation coefficient, the excited polarization, etc. are optimization variables.

Fifth Embodiment of the Invention 6 is a schematic configuration diagram of a mirror-modified shaped beam antenna according to a fifth embodiment of the invention. In the figure, 9 is a sub-reflecting mirror, and 10 is a main reflecting mirror which has been subjected to the same modification as the modified mirror surface 1 of the first embodiment of the invention. Further, the components having the same numbers as those in FIG. 1 correspond to those in FIG. 1 and have the same function. In the embodiment of the present invention, since the mirror surface configuration is of the two-reflecting mirror type, the degree of freedom for controlling the amplitude distribution of the current on the main reflecting mirror by the mirror surface modification of the sub-reflecting mirror is added, so that it is more complicated It is possible to radiate a shaped beam of various shapes and
The degree of freedom of the mirror surface configuration such as the positional relationship with the secondary radiator is also increased.

Sixth Embodiment of the Invention FIG. 7 is a diagram showing the frequency characteristic of the minimum gain within the coverage of the mirror-modified shaped beam antenna according to the sixth embodiment of the invention. In the embodiment of the present invention, when designing the modified mirror surface, it is designed by using the objective function defined so that the shaped beam having a desired shape can be obtained over a plurality of frequencies within the band, and therefore the broken line in the figure is used. As compared with the case of designing in consideration of only the frequency in the center of the band shown in, the minimum gain in the coverage is high and a good shaped beam is obtained in the entire band. As an objective function defined over a plurality of frequencies, where F is the number of frequencies to be considered and N is the number of directions representing a desired beam shape, the gain of the fth frequency in the nth direction is G _{f. , n} (f = 1 to F; n = 1 to
N) and the target gain for each of them is G _{0 f, n} (f = 1 to
F; n = 1 to N), _{f 0 of} G _{0f, n} −G _{f, n} (f =
1 to F), maximum values for n (n = 1 to N) are considered. In addition, _f of G _{0f, n} −G _{f, n} (f = 1 to F), n
The sum of squares for (n = 1 to N) may be used.

In the sixth embodiment of the invention, the case of using the objective function considering over a plurality of frequencies has been described, but similarly, a plurality of polarizations or a plurality of frequencies and a plurality of polarizations are similarly set. It can also be designed for the case of combining. Furthermore, by adding a term whose value decreases as the side lobe level and cross polarization level decrease to the objective function, the side lobe level and cross polarization level are reduced, and inter-beam isolation and
It is also possible to design a mirrored shaped beam antenna with high cross polarization discrimination.

[0027]

Since the present invention is constructed as described above, the following effects can be obtained.

According to the first aspect of the present invention, the modified mirror surface can be always made into a smooth curved surface by expressing the modified mirror surface by a continuous function, and the z-axis and the modified mirror surface, which have not been considered in the past, are formed. Since the angle can be taken into consideration when designing, it is possible to accurately design a mirror-modified shaped beam antenna that radiates a shaped beam of a desired shape.

According to the second aspect of the present invention, as the continuous function representing the modified mirror surface, by using a continuous function including at least an interpolation function for connecting a plurality of sample points set on the modified mirror surface, the desired beam shape is complicated. Since the degree of freedom of the mirror surface modification according to the height can be set by the number of sample points, it is possible to efficiently design a mirror surface modified shaped beam antenna that radiates a shaped beam of a desired shape.

According to the third aspect of the invention, the sample points on the modified mirror surface are displaced by the primary radiator in the direction of the light beam incident on the modified mirror surface to modify the sample points. The intensity of the current induced at each point can be made almost constant regardless of the amount of modification, and the amount of calculation at the time of design can be reduced, so a mirror-modified shaped beam antenna that radiates a shaped beam of the desired shape can be used. It can be designed efficiently.

According to the invention of claim 4, in the mirror-modified shaped beam antenna according to claim 1, 2 or 3, the mirror-shaped modified antenna for radiating a shaped beam that maximizes the minimum value of the gain difference with respect to the target gain. A shaped beam antenna can be designed.

According to the invention of claim 5, in the mirror-modified shaped beam antenna according to claim 1, 2 or 3, the mirror-shaped modified antenna for radiating a shaped beam that minimizes the sum of squares of the difference from the target gain. A shaped beam antenna can be designed.

According to the invention of claim 6, in the mirror-modified shaped beam antenna according to claim 1, 2 or 3, the minimum value of the gain difference with respect to the target gain is set in consideration of a plurality of frequencies within the required band. It is possible to design a mirror-modified shaped beam antenna that radiates a shaped beam that maximizes
The minimum gain in coverage is high over the required band,
A good shaped beam is obtained.

According to a seventh aspect of the present invention, in the mirror-modified shaped beam antenna according to the first, second or third aspect, the difference between the target gain and the target gain is set to 2 by taking into account a plurality of frequencies within the required band.
It is possible to design a mirror-modified shaped beam antenna that radiates a shaped beam that minimizes the sum of multiplications, and has a high minimum gain in coverage and a favorable shaped beam over the required band.

According to the invention of claim 8, the objective function is defined in consideration of a predetermined plurality of polarizations or a combination of a plurality of frequencies within a required band and a predetermined plurality of polarizations.
A mirror-modified shaped beam antenna that radiates a shaped beam of a desired shape over a required frequency band with multiple polarizations, or a mirror-shaped shaped beam antenna that radiates a shaped beam with high beam-to-beam isolation and cross polarization discrimination Can be designed.

[Brief description of drawings]

FIG. 1 is a schematic configuration diagram showing a mirror-modified shaped beam antenna according to a first embodiment of the present invention.

FIG. 2 is a cross-sectional view in the xz plane of the mirror-modified shaped beam antenna according to the first embodiment of the present invention.

FIG. 3 is a cross-sectional view in the xz plane of a mirror-modified shaped beam antenna according to a second embodiment of the present invention.

FIG. 4 is a cross-sectional view in the xz plane of a mirror-modified shaped beam antenna according to a third embodiment of the present invention.

FIG. 5 is a schematic configuration diagram showing a mirror-modified shaped beam antenna according to a fourth embodiment of the present invention.

FIG. 6 is a schematic configuration diagram showing a mirror-modified shaped beam antenna according to a fifth embodiment of the present invention.

FIG. 7 is a diagram for explaining frequency characteristics of a minimum gain within a coverage of the mirror-modified shaped beam antenna according to the sixth embodiment of the present invention.

FIG. 8 is a schematic configuration diagram showing a conventional mirrored shaped beam antenna.

FIG. 9 is a diagram illustrating a modification amount of a conventional mirror-modified shaped beam antenna.

FIG. 10 is a diagram illustrating an equivalent array antenna that approximates a conventional mirror-modified shaped beam antenna.

[Explanation of symbols]

1 modified mirror surface, 2 primary radiator, 3 parabolic surface, 4
Sample points on the mirror surface, 5 minute plane mirror, 6 element antenna,
7 power distributor, 8 phase shifter, 9 sub-reflector, 10 main reflector.

Continuation of the front page (56) Reference JP-A-6-104636 (JP, A) JP-A-2-312304 (JP, A) JP-A-4-119702 (JP, A) JP-A-6-37535 (JP , A) JP 3-192803 (JP, A) JP 3-179903 (JP, A) JP 5-191134 (JP, A) JP 6-268427 (JP, A) JP 1-220930 (JP, A) JP-A-5-152835 (JP, A) JP-A-3-253107 (JP, A) (58) Fields investigated (Int.Cl. ⁷ , DB name) H01Q 19/10 H01Q 1/28

Claims (8)

(57) [Claims] 1. A mirror-modified shaped beam antenna comprising a primary radiator and a modified mirror surface for reflecting radio waves radiated from the primary radiator into a desired beam shape, the antenna surface before modification. And the beam shape by the antenna surface expressed by this function are
Approximate beam shape and physical corresponding to desired beam shape
First modification that represents the modification amount of the antenna surface that matches
Function and the correction amount for the modification amount by this first modification function
The above modification is made by a continuous function composed of the second modification function and
In addition to representing the shape of the modified mirror surface, the beam shape by the modified mirror surface represented by this continuous function is
As the beam shape approaches the above desired value,
Define an objective function that minimizes the value of this objective function.
To optimize the parameters of the second modification function
Mirror surface shaping beads that design the shape of the above mirror surface by
Antenna design method. 2. The mirror surface modified shaped beam antenna design method according to claim 1, wherein the continuous function representing the modified mirror surface is:
Using a continuous function including at least an interpolation function connecting sample points set on the modified mirror surface, the coordinates of the sample points are optimized to be the objective function to be the minimum, and the modified mirror surface is determined. Shaped Beam Antenna Design Method for Mirror Surface Modification. 3. The method for designing a mirror-modified shaped beam antenna according to claim 2, wherein the sample points on the modified mirror surface are arranged along the direction of the light rays incident from the primary radiator to the respective sample points on the modified mirror surface. A mirror surface modified shaped beam antenna design method , characterized in that a modified mirror surface is determined by displacing and optimizing so as to minimize the above objective function. 4. The mirror surface modification shaped beam antenna design method according to claim 1, 2 or 3, wherein the gains in a plurality of (N) directions for specifying the desired beam shape are G _n (n).
= 1 to N), and the target gain in each direction is G _0n (n = 1
.About.N), the objective function is _n of G _0n -G n (n = 1 to 1).
N) is defined as the maximum value, and a mirror-modified shaped beam antenna design method is characterized. 5. The mirror-modified shaped beam antenna design method according to claim 1, 2 or 3, wherein the gains in a plurality of (N) directions for specifying the desired beam shape are G _n (n).
= 1 to N), and the target gain in each direction is G _0n (n = 1
.About.N), the objective function is _n of G _0n -G n (n = 1 to 1).
N) is defined as the sum of squares of N), and a mirror-modified shaped beam antenna design method . 6. The mirror surface modification shaped beam antenna design method according to claim 1, 2 or 3, wherein a plurality of (F) frequencies within a required band and a plurality (N) of frequencies for specifying the desired beam shape are included. , The gain for the n (n = 1 to N) th direction of the f (f = 1 to F) th frequency is G _{f, n} (f = 1 to F; n = 1 to N), The target gain for each of them is G _{0f, n} (f = 1 to F; n = 1 to N),
The above objective function is given by _f of G _{0f, n} −G _{f, n} (f = 1 to F), n
A mirror-modified shaped beam antenna design method characterized by being defined as a maximum value for (n = 1 to N). 7. The method of designing a mirror-modified shaped beam antenna according to claim 1, 2 or 3, wherein a plurality of (F) frequencies within a required band and a plurality (N) of frequencies for specifying the desired beam shape. , The gain for the n (n = 1 to N) th direction of the f (f = 1 to F) th frequency is G _{f, n} (f = 1 to F; n = 1 to N), The target gain for each of them is G _{0f, n} (f = 1 to F; n = 1 to N),
The above objective function is given by _f of G _{0f, n} −G _{f, n} (f = 1 to F), n
A mirror-modified shaped beam antenna design method characterized by being defined as the sum of squares for (n = 1 to N). 8. The mirror surface modification shaped beam antenna design method according to claim 6 or 7, wherein a plurality of predetermined polarizations or a plurality of polarizations within a required band are used instead of a plurality of (F) frequencies within the required band. A method of designing a mirror-modified shaped beam antenna, characterized in that a combination of individual frequencies and a predetermined plurality of polarized waves is used.