JPH0352243B2 - - Google Patents
Info
- Publication number
- JPH0352243B2 JPH0352243B2 JP2814382A JP2814382A JPH0352243B2 JP H0352243 B2 JPH0352243 B2 JP H0352243B2 JP 2814382 A JP2814382 A JP 2814382A JP 2814382 A JP2814382 A JP 2814382A JP H0352243 B2 JPH0352243 B2 JP H0352243B2
- Authority
- JP
- Japan
- Prior art keywords
- reflecting mirror
- shape
- central cross
- reflector
- primary radiator
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
Classifications
-
- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q19/00—Combinations of primary active antenna elements and units with secondary devices, e.g. with quasi-optical devices, for giving the antenna a desired directional characteristic
- H01Q19/10—Combinations of primary active antenna elements and units with secondary devices, e.g. with quasi-optical devices, for giving the antenna a desired directional characteristic using reflecting surfaces
- H01Q19/12—Combinations of primary active antenna elements and units with secondary devices, e.g. with quasi-optical devices, for giving the antenna a desired directional characteristic using reflecting surfaces wherein the surfaces are concave
Landscapes
- Aerials With Secondary Devices (AREA)
Description
【発明の詳細な説明】
本発明は1枚の反射鏡形状を修整して放射パタ
ーンの成形を行う成形ビームアンテナのうち、垂
直面内および水平面内のそれぞれの面内において
所望のパターンを得ようとするアンテナに関する
ものであり、1例としては水平面内で扇形ビー
ム、垂直面内でコセカント2乗ビーム成形を行う
アンテナがある。Detailed Description of the Invention The present invention aims to obtain a desired pattern in each of the vertical and horizontal planes of a shaped beam antenna that shapes a radiation pattern by modifying the shape of a single reflecting mirror. One example is an antenna that performs fan-shaped beam shaping in the horizontal plane and cosecant square beam shaping in the vertical plane.
従来より、この種のアンテナで放射パターンを
完全に成形することは不可能であることがわかつ
ている。ここで完全に成形するとは、水平面内扇
形ビーム、垂直面内コセカント2乗ビームを例に
とると、どの垂直面をとつても同じ形状のコセカ
ント2乗ビームとなつており、どの水平面をとつ
ても等しいレベルの扇形ビームになつているとい
う意味であり、以下この意味で用いる。 Traditionally, it has been found that it is impossible to perfectly shape the radiation pattern with this type of antenna. For example, when we say perfectly formed beams, we mean a fan-shaped beam in the horizontal plane and a cosecant squared beam in the vertical plane. This means that the beams are fan-shaped beams of equal level, and will be used in this sense below.
そこで近似的な鏡面形状として、反射鏡の垂直
中心断面曲線および水平中心断面線についてのみ
所望の放射パターンとなるような形状とし、中心
断面以外については、一方の中心断面曲線にそつ
て他方の中心断面曲線を平行移動させた形状が用
いられていた。 Therefore, as an approximate mirror surface shape, we have a shape that provides the desired radiation pattern only for the vertical center cross-section curve and the horizontal center cross-section line of the reflecting mirror, and for cross sections other than the center cross-section, A shape in which the cross-sectional curve was translated in parallel was used.
しかし、このような反射鏡形状を有するアンテ
ナでは中心断面曲線上以外の点における反射波の
幾何光学的な反射方向の仰角が中心断面曲線上に
おける反射波の幾何光学的な反射方向の仰角と異
なつてしまうという現象がある。このため、目標
とする完全に成形されたパターンとは異つたもの
となつてしまう欠点があり、その程度は実用上用
いられる機会の多い垂直面内でビーム幅が狭いア
ンテナ程顕著となつていた。 However, in an antenna having such a reflector shape, the elevation angle of the geometrical optical reflection direction of the reflected wave at a point other than the central cross-sectional curve is different from the elevation angle of the geometrical optical reflection direction of the reflected wave on the central cross-sectional curve. There is a phenomenon called getting tired. For this reason, there is a drawback that the pattern is different from the target perfectly formed pattern, and the degree of this is more noticeable in antennas with narrow beam widths in the vertical plane, which are often used in practical applications. .
本発明は上記の欠点を解決するために反射波方
向の仰角をそろえることにより放射パターンを完
全に成形されたパターンに近づけたものであつ
て、以下図面に従つて説明する。 In order to solve the above-mentioned drawbacks, the present invention brings the radiation pattern closer to a perfectly formed pattern by aligning the elevation angles of the reflected wave directions, and will be described below with reference to the drawings.
第1図は本発明の実施例であつて、1は1次放
射器、2は2次曲面反射鏡、3は垂直中心断面曲
線、4は水平中心断面曲線、5および5′は1次
放射器1から非2次曲面反射鏡2にあたつた電波
の幾何光学的な反射方向を示す。 FIG. 1 shows an embodiment of the present invention, in which 1 is a primary radiator, 2 is a quadratic curved reflector, 3 is a vertical central cross-sectional curve, 4 is a horizontal central cross-sectional curve, and 5 and 5' are primary radiators. This figure shows the geometrical optical reflection direction of the radio waves that hit the non-quadratic curved reflector 2 from the device 1.
PおよびQは1次放射器1から非2次曲面反射
鏡2を一定の仰角αで見込んだ鏡面状の点であ
り、このうちPは垂直中心断面曲線3上にある。 P and Q are specular points obtained by viewing the non-quadratic curved reflector 2 from the primary radiator 1 at a constant elevation angle α, of which P is on the vertical central cross-sectional curve 3.
本アンテナの特徴とするところを具体的に述べ
れば、PおよびQでの反射波の仰角θeおよびθ′e
を等しくしたことにあり、それにより電波の集中
すべき方向を揃え、放射パターンを完全な成形パ
ターンに近づけることができる。 Specifically speaking, the features of this antenna are as follows: The elevation angles θe and θ′e of the reflected waves at P and Q.
This makes it possible to align the directions in which radio waves should be concentrated and make the radiation pattern closer to a perfectly formed pattern.
次に本アンテナで用いる鏡面形状について説明
する
1次放射器1から反射鏡上の点Qに入射する入
射方向ベクトルをRin(Rxin,Ryin,Rzin)、反射
鏡の法線ベクトルをn(Nx,ny,nz)とすると反
射方向ベクトルRout(Rxout,Ryout,Rzout)は
式(1)で表わされる。 Next, we will explain the mirror surface shape used in this antenna.The incident direction vector from the primary radiator 1 to the point Q on the reflector is Rin (R x in, R y in, R z in), and the normal to the reflector is When the vector is n (N x , n y , n z ), the reflection direction vector Rout (R x out, R y out, R z out) is expressed by equation (1).
Rout=Rin−2(Rin・n)n (1) ここで、Rinは式(2)、nは式(3)で表わされる。 Rout=Rin−2(Rin・n)n (1) Here, Rin is expressed by equation (2), and n is expressed by equation (3).
Rin=sinαx^+cosαsinβy^+cosαcosβz(2)
ここでρは1次放射器1から非2次曲面反射鏡
2の反射面までの距離である。 Rin=sinαx^+cosαsinβy^+cosαcosβz(2) Here, ρ is the distance from the primary radiator 1 to the reflective surface of the non-quadratic curved reflector 2.
一方、反射方向ベクトルの仰角θ′eは式(4)で求
められる。 On the other hand, the elevation angle θ′ e of the reflection direction vector can be found using equation (4).
従つて、点Qと点Pで反射方向ベクトルの仰角
が等しくあるためには、それぞれの点で反射方向
ベクトルのx成分が等しいことが条件となる。式
(2)、式(3)を式(1)に代入して、この条件を求める
と、式(5)となる。但し、ρvは1次放射器1から
垂直中心断面曲線3迄の距離をαの関数として表
わしたものである。 Therefore, in order for the elevation angles of the reflection direction vectors to be equal at point Q and point P, the x component of the reflection direction vectors must be equal at each point. formula
(2) and equation (3) are substituted into equation (1) to find this condition, equation (5) is obtained. However, ρv is the distance from the primary radiator 1 to the vertical central cross-sectional curve 3 expressed as a function of α.
∂ρ/∂αsinαcos2α+2ρ∂ρ/∂αcos3α
+∂ρ/∂βsinα−ρ2sinαcos2α/∂ρ/∂αcos2
α+∂ρ/∂β+ρ2cos2α
=dρv/dαsinαcos2α+2ρvdρv/dαcos
3α−ρ2 vsinαcos2α/dρv/dαcos2α+ρ2 vcos2α(
5)
α=0で解が水平中心断面曲線4の形状に一致
するという条件の下で、式(5)を解くことにより、
反射鏡形状を求めることができる。 ∂ρ/∂αsinαcos 2 α+2ρ∂ρ/∂αcos 3 α
+∂ρ/∂βsinα−ρ 2 sinαcos 2 α/∂ρ/∂αcos 2
α+∂ρ/∂β+ρ 2 cos 2 α =dρv/dαsinαcos 2 α+2ρvdρv/dαcos
3 α−ρ 2 v sinαcos 2 α/dρv/dαcos 2 α+ρ 2 v cos 2 α(
5) By solving equation (5) under the condition that α = 0 and the solution matches the shape of horizontal center cross section curve 4,
The shape of the reflecting mirror can be determined.
この形状を解析的に求めることはできないが、
計算機を用いて数値的に解くことは容易である。 Although this shape cannot be determined analytically,
It is easy to solve numerically using a computer.
尚、ここで垂直および水平の中心断面曲線形状
を求め方については言及しなかつたが、これは電
力束の条件と反射の法則を用いた方法等の既知の
方法で容易に求められる。 Although no mention has been made here of how to obtain the vertical and horizontal central cross-sectional curve shapes, this can be easily obtained by a known method such as a method using power flux conditions and the law of reflection.
以上、水平中心断面曲線4がZ軸と交わる場合
を例にとつて反射鏡形状の求め方を述べたが、両
者が交わらない場合、即ち、1次放射器1と水平
中心断面曲線4を結ぶ直線とZ軸とが角度θpをな
している場合にも、上述の計算においてα=θpで
解水平中心断面曲線4に一致するという条件で式
(5)を解くことにより求められる。 Above, we have described how to obtain the reflector shape using as an example the case where the horizontal central cross-section curve 4 intersects with the Z axis, but when the two do not intersect, that is, connecting the primary radiator 1 and the horizontal central cross-section curve 4. Even when the straight line and the Z - axis form an angle θ p , in the above calculation, the formula is
It is obtained by solving (5).
以上説明したように、本アンテナでは上記のよ
うにして決められた反射鏡形状、即ち、1次放射
器から一定の仰角αで見込んだ反射鏡上の各点で
反射波の方向の仰角θeが等しくなるような形状を
用いているため、ビーム幅の狭い垂直面内で電波
の集中すべき方向に電波が良く揃つて集中し、放
射パターンを完全な成形状態に近づけることがで
きる。そのため、アンテナからの放射電力の有効
利用を図ることができ、通信システムの経済化に
寄与することができる。 As explained above, in this antenna, the shape of the reflector determined as described above is used, that is, the elevation angle θ e in the direction of the reflected wave at each point on the reflector viewed from the primary radiator at a constant elevation angle α. Since the shape is such that the beam width is equal, the radio waves are well aligned and concentrated in the direction in which they should be concentrated within the vertical plane with a narrow beam width, making it possible to bring the radiation pattern close to a perfectly formed state. Therefore, it is possible to effectively utilize the power radiated from the antenna, and it is possible to contribute to making the communication system more economical.
第1図は本発明の一実施例の斜視図である。
1……1次放射器、2……非2次曲面反射鏡、
3……垂直中心断面曲線、4……水平中心断面曲
線、5,5′……反射波の幾何光学的な反射方向。
FIG. 1 is a perspective view of an embodiment of the present invention. 1...Primary radiator, 2...Non-secondary curved reflector,
3...Vertical center cross-sectional curve, 4...Horizontal center cross-sectional curve, 5, 5'...Geometric optical reflection direction of reflected wave.
Claims (1)
1次放射系と非2次曲面から成る1枚の反射鏡と
を有する成形ビームアンテナにおいて、該非2次
曲面反射鏡の垂直および水平の中心断面曲線とし
てはそれぞれの中心断面内において所望の放射パ
ターンとなる反射鏡断面形状を有し、前記両中心
断面以外の反射鏡形状としては、1次放射器又は
1次放射系の最終の反射鏡の焦点から該非2次曲
面反射鏡を一定の仰角で見込んだ反射鏡上の各点
での幾何光学的な反射波の反射方向が全て等しい
仰角を有する反射鏡形状を有することを特徴とす
る成形ビームアンテナ。1. In a shaped beam antenna having a primary radiator or a primary radiation system consisting of a primary radiator and a reflecting mirror, and one reflecting mirror consisting of a non-quadratic curved surface, the vertical and horizontal The central cross-section curve has a reflector cross-sectional shape that provides a desired radiation pattern within each central cross-section, and the reflector shape other than both central cross-sections has the final reflection of the primary radiator or primary radiation system. The non-quadratic curved reflecting mirror is characterized by having a reflecting mirror shape in which the directions of reflection of geometrical optical reflected waves at each point on the reflecting mirror all have the same elevation angle when looking at the non-quadratic curved reflecting mirror from the focal point of the mirror at a constant elevation angle. Shaped beam antenna.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2814382A JPS58146105A (en) | 1982-02-25 | 1982-02-25 | Forming beam antenna |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2814382A JPS58146105A (en) | 1982-02-25 | 1982-02-25 | Forming beam antenna |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS58146105A JPS58146105A (en) | 1983-08-31 |
| JPH0352243B2 true JPH0352243B2 (en) | 1991-08-09 |
Family
ID=12240540
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP2814382A Granted JPS58146105A (en) | 1982-02-25 | 1982-02-25 | Forming beam antenna |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS58146105A (en) |
-
1982
- 1982-02-25 JP JP2814382A patent/JPS58146105A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS58146105A (en) | 1983-08-31 |
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