TWI633749B

TWI633749B - Mixed branch with equal output power ratio

Info

Publication number: TWI633749B
Application number: TW106124958A
Authority: TW
Inventors: 曾振東; 劉浩維; 林宜賢
Original assignee: 國立勤益科技大學
Priority date: 2017-07-25
Filing date: 2017-07-25
Publication date: 2018-08-21
Also published as: TW201909551A

Abstract

本發明係揭露一種等長任意輸出功率比之混合式分支器，其包括基板，及覆設於基板上的傳輸線組。傳輸線組包含垂直環繞呈矩形連接的第一傳輸線、第二傳輸線、第三傳輸線及第四傳輸線。第一傳輸線二端分別延伸有第一延伸段及第二延伸段。第三傳輸線二端分別延伸有第三延伸段及第四延伸段；其中，第一傳輸線與第三傳輸線；或是第二傳輸線與第四傳輸線之近中段位置斷開分別形成為具有間距的第一段部及第二段部，並於第一段部與第二段部相向的二端各自電性連接電感，以形成電感等效電路，俾能藉由傳輸線與電感結構之轉換公式，使電路等比例縮小，以實現調整輸任意輸出功率比。 The invention discloses a hybrid branching device of equal output length and arbitrary output power ratio, which comprises a substrate and a transmission line group covering the substrate. The transmission line group includes a first transmission line, a second transmission line, a third transmission line, and a fourth transmission line that are vertically connected in a rectangular connection. A first extension section and a second extension section are respectively extended at two ends of the first transmission line. The third end of the third transmission line is extended with a third extension and a fourth extension, respectively. Among them, the first transmission line and the third transmission line; or the near-middle position of the second transmission line and the fourth transmission line are disconnected to form a first section with a distance. One section and the second section, and the two ends of the first section and the second section opposite to each other are electrically connected to the inductor to form an equivalent circuit of the inductor. The conversion formula between the transmission line and the inductor structure can be used to make The circuit is scaled down to achieve an arbitrary output power ratio.

Description

等長任意輸出功率比之混合式分支器 Mixed branch with equal output power ratio

本發明係有關一種等長任意輸出功率比之混合式分支器，尤指一種實現調整輸任意輸出功率比的混合式分支器技術。 The invention relates to a hybrid brancher with an arbitrary output power ratio of equal length, and more particularly to a hybrid brancher technology that realizes adjustment of an arbitrary output power ratio.

按，近年來無線通訊已是科技發展的趨勢，不管在無人機系統、航太系統或手機通訊系統上，無線通訊在科技產品上有著重要的地位。而分支器在無線通訊系統中扮演重要的角色，其功能為信號功率分配如參考文獻[1][2]和功率合成如參考文獻[3][4]，且根據不同需求，產生不同種類的分支器，如枝幹分支器(branch line coupler)如參考文獻[5][6]、方向耦合器(directional coupler)如參考文獻[7][8]、混合分支器(hybrid coupler)如參考文獻[9][10]，其中以枝幹分支器使用最為普遍。 According to recent years, wireless communication has become a trend of technological development. No matter in the drone system, aerospace system or mobile phone communication system, wireless communication has an important position in technology products. The brancher plays an important role in the wireless communication system, and its functions are signal power distribution as reference [1] [2] and power synthesis as reference [3] [4], and according to different needs, different types of Branchers, such as branch line coupler, such as reference [5] [6], directional couplers, such as reference [7] [8], and hybrid couplers, such as reference [9] [10], of which branch and branch are most commonly used.

再者，傳統分枝器的電氣特徵為傳輸線電氣長度為四分之一波長(θ=90°)，兩輸出訊號相位相差90度，而|S ₁₁|與|S ₄₁|能達-15dB以下，以致無法實現任意調整輸出功率比的功能，因此，有鑑於上述習用分支器之電路架構確實未臻完善，加上因應電路縮小化的趨勢，於是，本發明創作人等乃開發出一種等長任意輸出功率比之混合式分支器的技術解決方案。 Furthermore, the electrical characteristics of traditional branchers are that the electrical length of the transmission line is a quarter wavelength ( θ = 90 °), and the phase of the two output signals is 90 degrees out of phase, and | S ₁₁ | and | S ₄₁ | , So that the function of arbitrarily adjusting the output power ratio cannot be realized. Therefore, in view of the fact that the circuit architecture of the conventional brancher is not perfect, and coupled with the trend of circuit shrinking, the creators of the present invention have developed an equal length Technical solution for hybrid output with arbitrary output power ratio.

本發明主要目的在於提供一種等長任意輸出功率比之混合式分支器，電路是以傳統分支器為架構，再以傳輸線與電感結構之轉換公式，使電路等比例縮小，在不影響電路原本功能下任意設計電氣長度，再以四種不同條件分成輸出功率比1：1、2：1以及Z ₁轉換結構、Z ₂轉換結構，共四個實施例進行電路模擬與實際製作，而且數值與模擬頻率響應相近，故而可應用此設計方式在一般分支器上。達成前述主要目的之技術手段，係包括基板，及覆設於基板上的傳輸線組。傳輸線組包含垂直環繞呈矩形連接的第一傳輸線、第二傳輸線、第三傳輸線及第四傳輸線。第一傳輸線二端分別延伸有第一延伸段及第二延伸段。第三傳輸線二端分別延伸有第三延伸段及第四延伸段；其中，第一傳輸線與第三傳輸線；或是第二傳輸線與第四傳輸線之近中段位置斷開分別形成為具有間距的第一段部及第二段部，並於第一段部與第二段部相向的二端各自電性連接電感，以形成電感等效電路。 The main purpose of the present invention is to provide a hybrid brancher with an arbitrary output power ratio of equal length. The circuit is based on a traditional brancher, and the conversion formula between the transmission line and the inductor structure is used to reduce the circuit proportionally without affecting the original function of the circuit. The electrical length is arbitrarily designed, and it is divided into four different conditions into an output power ratio of 1: 1, 2: 1, and Z ₁ conversion structure and Z ₂ conversion structure. There are four embodiments for circuit simulation and actual production, and numerical and simulation. The frequency response is similar, so this design method can be applied to general branchers. The technical means for achieving the aforementioned main purpose includes a substrate and a transmission line group covering the substrate. The transmission line group includes a first transmission line, a second transmission line, a third transmission line, and a fourth transmission line that are vertically connected in a rectangular connection. A first extension section and a second extension section are respectively extended at two ends of the first transmission line. The third end of the third transmission line is extended with a third extension and a fourth extension, respectively. Among them, the first transmission line and the third transmission line; or the near-middle position of the second transmission line and the fourth transmission line are disconnected to form a first section with a distance. The first section and the second section are electrically connected to inductors at two ends of the first section and the second section, respectively, to form an inductance equivalent circuit.

10‧‧‧基板 10‧‧‧ substrate

20‧‧‧傳輸線組 20‧‧‧ Transmission line group

21‧‧‧第一傳輸線 21‧‧‧The first transmission line

210‧‧‧第一延伸段 210‧‧‧first extension

211‧‧‧第二延伸段 211‧‧‧second extension

22‧‧‧第二傳輸線 22‧‧‧Second transmission line

23‧‧‧第三傳輸線 23‧‧‧Third transmission line

230‧‧‧第三延伸段 230‧‧‧ Third Extension

231‧‧‧第四延伸段 231‧‧‧Fourth Extension

24‧‧‧第四傳輸線 24‧‧‧ Fourth Transmission Line

25a,25b‧‧‧第一段部 25a, 25b ‧‧‧ First Section

26a,26b‧‧‧第二段部 26a, 26b ‧‧‧ Second Section

250a,250b‧‧‧第一長矩形段 250a, 250b ‧‧‧ the first long rectangular segment

251a,251b‧‧‧第一三角形段 251a, 251b ‧‧‧ the first triangle segment

260a,260b‧‧‧第二長矩形段 260a, 260b ‧‧‧ second long rectangular segment

261a,261b‧‧‧第二三角形段 261a, 261b ‧‧‧ second triangle segment

L‧‧‧電感 L‧‧‧Inductance

圖1係本發明(Z ₁轉換)等長之混合式分支器電路結構示意圖。 FIG. 1 is a schematic structural diagram of a hybrid brancher of the same length ( Z ₁ conversion) according to the present invention.

圖2係本發明(Z ₂轉換)等長之混合式分支器電路結構示意圖。 FIG. 2 is a schematic structural diagram of a hybrid brancher of the same length ( Z ₂ conversion) according to the present invention.

圖3係傳統分支器電路結構示意圖。 Figure 3 is a schematic diagram of a conventional brancher circuit structure.

圖4係本發明任意長度分支器電路結構的示意圖。 FIG. 4 is a schematic diagram of a circuit structure of an arbitrary length brancher according to the present invention.

圖5係本發明傳輸線轉電感等效電路的示意圖。 FIG. 5 is a schematic diagram of an equivalent circuit of a transmission line to inductor of the present invention.

圖6a係本發明功率比1：1 Z ₁轉換結構電路成型示意圖。 Fig. 6a is a schematic diagram of the circuit of the present invention with a power ratio of 1: 1 Z ₁ conversion structure.

圖6b係本發明功率比1：1 Z ₁轉換結構電路實體示意圖。 Fig. 6b is a schematic diagram of the circuit of the present invention with a power ratio of 1: 1 Z ₁ conversion structure.

圖6c係本發明功率比1：1 Z ₁轉換結構之等長混合式分支器的模擬和量測數據示意圖。 FIG. 6c is a schematic diagram of simulation and measurement data of an equal-length hybrid branching device with a power ratio of 1: 1 Z ₁ conversion structure according to the present invention.

圖7a係本發明功率比2：1 Z ₁轉換結構電路成型示意圖。 FIG. 7a is a schematic diagram of a circuit with a power ratio of 2: 1 Z ₁ conversion structure according to the present invention.

圖7b係本發明功率比2：1 Z ₁轉換結構電路實體示意圖。 FIG. 7b is a schematic diagram of the circuit of the power ratio 2: 1 Z ₁ conversion structure of the present invention.

圖7c係本發明功率比1：1 Z ₁轉換結構之等長混合式分支器的模擬與量測數據示意圖。 FIG. 7c is a schematic diagram of simulation and measurement data of an equal-length hybrid branching device with a power ratio of 1: 1 Z ₁ conversion structure according to the present invention.

圖8a係本發明功率比1：1 Z ₂轉換結構電路成型示意圖。 FIG. 8a is a schematic diagram of the circuit forming of the power ratio 1: 1 Z ₂ conversion structure of the present invention.

圖8b係本發明功率比1：1 Z ₂轉換結構電路實體示意圖。 FIG. 8b is a schematic diagram of the circuit of the power ratio 1: 1 Z ₂ conversion structure of the present invention.

圖8c係本發明功率比1：1 Z ₂轉換結構之等長混合式分支器的模擬和量測數據示意圖。 FIG. 8c is a schematic diagram of simulation and measurement data of an equal-length hybrid branching device with a power ratio of 1: 1 Z ₂ conversion structure according to the present invention.

圖9a係本發明功率比2：1 Z ₂轉換結構電路成型示意圖。 FIG. 9a is a schematic diagram of the circuit forming of the power ratio 2: 1 Z ₂ conversion structure of the present invention.

圖9b係本發明功率比2：1 Z ₂轉換結構電路實體示意圖。 FIG. 9b is a schematic diagram of the circuit of the power ratio 2: 1 Z ₂ conversion structure of the present invention.

圖9c係本發明功率比2：1 Z ₂轉換結構之等長混合式分支器的模擬和量測數據示意圖。 FIG. 9c is a schematic diagram of simulation and measurement data of an equal-length hybrid branching device with a power ratio of 2: 1 Z ₂ conversion structure according to the present invention.

為讓貴審查委員能進一步瞭解本發明整體的技術特徵與達成本發明目的之達成功效，玆以具體實施例並配合圖式加以詳細說明如后：本發明所提出的一種等長任意輸出功率比之混合式分支器，電路是以傳統分支器為架構，先轉換成不等長之任意長度分支器，再以傳輸線與電感等效電路，將較長的傳輸線縮短完成等長設計。本電路經由電磁模擬軟體證實電路特性，並以雕刻機實現，使用FR-4基板，厚度為1.6mm，相對介電質係數4.3，最後經網路分析儀量測。模擬數據於工作頻段與實測結果都有良好的一致性。 In order to allow your reviewers to further understand the overall technical features of the present invention and achieve the effect of achieving the purpose of the present invention, specific embodiments and drawings are described in detail as follows: An equal-length arbitrary output power ratio proposed by the present invention In the hybrid brancher, the circuit is based on the traditional brancher. It is first converted into a brancher of any length of unequal length, and then the transmission line and the inductor equivalent circuit are used to shorten the longer transmission line to complete the equal length design. This circuit is verified by electromagnetic simulation software and implemented with an engraving machine. It uses a FR-4 substrate with a thickness of 1.6mm and a relative dielectric constant of 4.3. It is finally measured by a network analyzer. Analog data at working frequency Both the segment and the measured results are in good agreement.

請配合參看圖6a、6b所示，為達成本發明目的之實施例，係包括一基板10，及一覆設於基板10上的傳輸線組20。此傳輸線組20包含四段依序垂直環繞呈矩形連接的一第一傳輸線21、一第二傳輸線22、一第三傳輸線23及一第四傳輸線24。第一傳輸線21二端分別延伸有第一延伸段210及第二延伸段211。第三傳輸線23二端分別延伸有第三延伸段230及第四延伸段231；其中，第一傳輸線21與第三傳輸線23；或是第二傳輸線21與第四傳輸線24之近中段位置斷開分別形成具有一間距的第一段部25a,25b及第二段部26a,26b，並於每一第一段部25a,25b與每一第二段部26a,26b相向的二端各自電性連接一電感L，藉以形成一電感等效電路。 Please refer to FIG. 6A and FIG. 6B, the embodiment for achieving the purpose of the present invention includes a substrate 10 and a transmission line group 20 disposed on the substrate 10. The transmission line group 20 includes four segments of a first transmission line 21, a second transmission line 22, a third transmission line 23, and a fourth transmission line 24, which are vertically connected in a rectangular connection in sequence. A first extension section 210 and a second extension section 211 are respectively extended at two ends of the first transmission line 21. The third end of the third transmission line 23 is extended with a third extension 230 and a fourth extension 231, respectively. Among them, the first transmission line 21 and the third transmission line 23; or the second transmission line 21 and the fourth transmission line 24 are near the middle position. A first segment portion 25a, 25b and a second segment portion 26a, 26b having a pitch are formed respectively, and electrical properties are provided at two ends of each of the first segment portion 25a, 25b and each of the second segment portion 26a, 26b. An inductor L is connected to form an inductor equivalent circuit.

具體來說，上述二個第一段部25a,25b各自包含一第一長矩形段250a,250b及一連接在第一長矩形段250a,250b末端的第一三角形段251a,251b。上述二個第二段部26a,26b各自包含一第二長矩形段260a,260b及一連接在第二長矩形段260a,260b末端的第二三角形段261a,261b，第一三角形段251a,251b部之頂點與第二三角形段261a,261b部之頂點相向，上述電感L則電性連接在第一三角形段251a,251b部與第二三角形段261a,261b部之二頂點的附近位置。 Specifically, the two first segment portions 25a, 25b each include a first long rectangular segment 250a, 250b and a first triangular segment 251a, 251b connected to the ends of the first long rectangular segment 250a, 250b. The two second segment portions 26a, 26b each include a second long rectangular segment 260a, 260b and a second triangular segment 261a, 261b, and a first triangular segment 251a, 251b connected to the ends of the second long rectangular segment 260a, 260b. The apex of the part is opposite to the apex of the second triangular segment 261a, 261b, and the inductance L is electrically connected near the two apex of the first triangular segment 251a, 251b and the second triangular segment 261a, 261b.

請配合參看圖6a、6b所示為本發明第一應用實施例，上述二電感等效電路分別位於第一傳輸線21與第三傳輸線23上；此二電感L的電感值皆介於2.6~4.6nH之間，較佳為3.6nH。第一傳輸線21與第三傳輸線23的阻抗皆為Z _1n=35.96Ω；第二傳輸線22與第四傳輸線24的阻抗皆為Z _2n=51.76Ω，第一傳輸線21與第三傳輸線23的電氣長度為θ _1n=100.54°，第二傳輸線22與第四傳輸線24的電氣長度為θ _2n=75°，本實施例電路之功率輸出比為1：1。 Please refer to FIGS. 6a and 6b for the first application embodiment of the present invention. The two equivalent circuits of the inductors are located on the first transmission line 21 and the third transmission line 23 respectively. The inductance values of the two inductors L are between 2.6 and 4.6. Between nH, 3.6 nH is preferred. The impedances of the first transmission line 21 and the third transmission line 23 are Z _{1 n} = 35.96Ω; the impedances of the second transmission line 22 and the fourth transmission line 24 are Z _{2 n} = 51.76Ω. The electrical length is θ _{1 n} = 100.54 °, the electrical length of the second transmission line 22 and the fourth transmission line 24 is θ _{2 n} = 75 °, and the power output ratio of the circuit of this embodiment is 1: 1.

承上所述，如圖6a、6b所示之第一傳輸線21包含第一延伸段210與第二延伸段211的長度及第三傳輸線23包含第三延伸段230與第四延伸段231的長度皆為L1=50mm。第一段部25a,25b與第二段部26a,26b的長度皆為L2=16.5mm。第二傳輸線22與第四傳輸線24的寬度皆為L4=1.5mm；第二傳輸線22與第四傳輸線24的長度皆為W2=34.5mm；第一延伸段210、第二延伸段211、第三延伸段230及第四延伸段231的寬度皆為W3=3mm；第一傳輸線21與第三傳輸線23的寬度皆為W4=7.5mm。而第一三角形段251a,251b與第二三角形段261a,261b之高度皆為L3=2.7mm。至於第一段部25a,25b與二段部26a,26b之間的間距約0.5~1.5mm。 As mentioned above, as shown in FIGS. 6a and 6b, the first transmission line 21 includes the length of the first extension 210 and the second extension 211, and the third transmission line 23 includes the length of the third extension 230 and the fourth extension 231. Both are L1 = 50mm. The lengths of the first section 25a, 25b and the second section 26a, 26b are both L2 = 16.5mm. The width of the second transmission line 22 and the fourth transmission line 24 are both L4 = 1.5mm; the length of the second transmission line 22 and the fourth transmission line 24 are W2 = 34.5mm; the first extension 210, the second extension 211, and the third The width of the extension 230 and the fourth extension 231 are both W3 = 3mm; the width of the first transmission line 21 and the third transmission line 23 are W4 = 7.5mm. The heights of the first triangular segments 251a, 251b and the second triangular segments 261a, 261b are both L3 = 2.7mm. As for the distance between the first section 25a, 25b and the second section 26a, 26b is about 0.5 to 1.5 mm.

請配合參看圖7a、7b所示為本發明第二應用實施例，上述二電感等效電路分別位於第一傳輸線21與第三傳輸線23上；此二電感L的電感值皆介於3~5nH之間，較佳為4nH。第一傳輸線21與第三傳輸線23的阻抗皆為Z _1n=41.29Ω；第二傳輸線22與第四傳輸線24的阻抗皆為Z _2n=73.2Ω，第一傳輸線21與第三傳輸線23的電氣長度為θ _1n=98.6°，第二傳輸線22與該第四傳輸線24的電氣長度為θ _2n=75°，本實施例電路之功率輸出比為2：1。 Please refer to FIGS. 7a and 7b for a second application embodiment of the present invention. The two equivalent circuits of the inductors are respectively located on the first transmission line 21 and the third transmission line 23. The inductance values of the two inductors L are between 3 and 5 nH. In between, 4nH is preferred. The impedances of the first transmission line 21 and the third transmission line 23 are Z _{1 n} = 41.29 Ω; the impedances of the second transmission line 22 and the fourth transmission line 24 are Z _{2 n} = 73.2 Ω, and the impedances of the first transmission line 21 and the third transmission line 23 are The electrical length is θ _{1 n} = 98.6 °, the electrical length of the second transmission line 22 and the fourth transmission line 24 is θ _{2 n} = 75 °, and the power output ratio of the circuit of this embodiment is 2: 1.

承上所述，如圖7a、8b所示之第一傳輸線21包含第一延伸段210與第二延伸段211的長度及第三傳輸線23包含第三延伸段230與第四延伸段231的長度皆為L1=50mm。第一段部25a,25b與第二段部26a,26b的長度皆為L2=16.5mm；第二傳輸線22與第四傳輸線24的寬度皆為 L4=1.5mm；第二傳輸線22與第四傳輸線24的長度皆為W2=34.5mm；第一延伸段210、第二延伸段211、第三延伸段230及第四延伸段231的寬度皆為W3=3mm；第一傳輸線21與第三傳輸線23的寬度皆為W4=7.5mm。而第一三角形段251a,251b與第二三角形段261a,261b之高度為L3=3.1mm。至於第一段部25a,25b與二段部26a,26b之間的間距約0.5~1.5mm。 As mentioned above, as shown in FIGS. 7a and 8b, the first transmission line 21 includes the length of the first extension 210 and the second extension 211, and the third transmission line 23 includes the length of the third extension 230 and the fourth extension 231. Both are L1 = 50mm. The length of the first section 25a, 25b and the second section 26a, 26b are both L2 = 16.5mm; the widths of the second transmission line 22 and the fourth transmission line 24 are L4 = 1.5mm; the length of the second transmission line 22 and the fourth transmission line 24 are W2 = 34.5mm; the widths of the first extension 210, the second extension 211, the third extension 230, and the fourth extension 231 are W3 = 3mm; the widths of the first transmission line 21 and the third transmission line 23 are both W4 = 7.5mm. The height of the first triangular segments 251a, 251b and the second triangular segments 261a, 261b is L3 = 3.1mm. As for the distance between the first section 25a, 25b and the second section 26a, 26b is about 0.5 to 1.5 mm.

請配合參看圖8a、8b所示為本發明第三應用實施例，上述二電感等效電路分別位於第二傳輸線22與第四傳輸線24上。此二電感L的電感值皆介於8.5~10.5nH之間，較佳為6.3nH。第一傳輸線21與第三傳輸線23的阻抗皆為Z _1n=42.26Ω；第二傳輸線22與該第四傳輸線24的阻抗皆為Z _2n=79.1Ω，第一傳輸線21與第三傳輸線23的電氣長度為θ _1n=75°，第二傳輸線22與第四傳輸線24的電氣長度為θ _2n=116.63°，本實施例電路之功率輸出比為1：1。 Please refer to FIG. 8a and FIG. 8b for a third application embodiment of the present invention. The two equivalent inductor circuits are respectively located on the second transmission line 22 and the fourth transmission line 24. The inductance values of the two inductors L are between 8.5 and 10.5 nH, preferably 6.3 nH. The impedances of the first transmission line 21 and the third transmission line 23 are Z _{1 n} = 42.26Ω; the impedances of the second transmission line 22 and the fourth transmission line 24 are Z _{2 n} = 79.1Ω, the first transmission line 21 and the third transmission line 23 The electrical length is θ _{1 n} = 75 °, the electrical length of the second transmission line 22 and the fourth transmission line 24 is θ _{2 n} = 116.63 °, and the power output ratio of the circuit of this embodiment is 1: 1.

承上所述，上述第一傳輸線21包含第一延伸段210與第二延伸段211的長度及第三傳輸線23包含第三延伸段230與第四延伸段231的長度皆為L1=57mm；第二傳輸線22與第四傳輸線24的寬度皆為L3=7mm；第二傳輸線22包含第二延伸段211與第三延伸段230的長度以及第四傳輸線24包含該第一延伸段210與第四延伸段231的長度皆為W1=51mm；第一延伸段210、第二延伸段211、第三延伸段230及該第四延伸段231的寬度皆為W3=3mm；第一傳輸線21與該第三傳輸線23的寬度皆為W5=5mm。而第一三角形段251a,251b與第二三角形段261a,261b之高度為W4=3mm。至於第一段部25a,25b與二段部26a,26b之間的間距約0.5~1.5mm。 As mentioned above, the length of the first transmission line 21 including the first extension 210 and the second extension 211 and the length of the third transmission line 23 including the third extension 230 and the fourth extension 231 are both L1 = 57mm; The width of the second transmission line 22 and the fourth transmission line 24 are both L3 = 7mm; the second transmission line 22 includes the length of the second extension section 211 and the third extension section 230 and the fourth transmission line 24 includes the first extension section 210 and the fourth extension. The length of the segment 231 is W1 = 51mm; the widths of the first extension 210, the second extension 211, the third extension 230, and the fourth extension 231 are W3 = 3mm; the first transmission line 21 and the third The widths of the transmission lines 23 are all W5 = 5mm. The height of the first triangular segments 251a, 251b and the second triangular segments 261a, 261b is W4 = 3mm. As for the distance between the first section 25a, 25b and the second section 26a, 26b is about 0.5 to 1.5 mm.

請配合參看圖9a、9b所示為本發明第四應用實施例，上述二電感等效電路分別位於第二傳輸線22與第四傳輸線24上；此二電感L的電感值皆介於5.3~7.3nH之間，較佳為9.5nH。第一傳輸線21與該第三傳輸線23的阻抗皆為Z _1n=36.6Ω；該第二傳輸線22與該第四傳輸線24的阻抗皆為Z _2n=53.73Ω，該第一傳輸線21與該第三傳輸線23的電氣長度為θ _1n=75°，該第二傳輸線22與該第四傳輸線24的電氣長度為θ _2n=111.47°，其功率輸出比為2：1。 Please refer to FIG. 9a and FIG. 9b for a fourth application embodiment of the present invention. The two equivalent circuits of the above inductors are respectively located on the second transmission line 22 and the fourth transmission line 24. The inductance values of the two inductors L are between 5.3 and 7.3. Between nH, 9.5nH is preferable. The impedances of the first transmission line 21 and the third transmission line 23 are Z _{1 n} = 36.6Ω; the impedances of the second transmission line 22 and the fourth transmission line 24 are Z _{2 n} = 53.73Ω, and the first transmission line 21 and the The electrical length of the third transmission line 23 is θ _{1 n} = 75 °, the electrical length of the second transmission line 22 and the fourth transmission line 24 is θ _{2 n} = 111.47 °, and the power output ratio thereof is 2: 1.

承上所述，上述第一傳輸線21包含該第一延伸段210與該第二延伸段211的長度及該第三傳輸線23包含該第三延伸段230與該第四延伸段231的長度皆為L1=53.5mm；該第二傳輸線22與該第四傳輸線24的寬度皆為L3=4.9mm；第二傳輸線22包含第二延伸段211與第三延伸段230的長度以及第四傳輸線24包含第一延伸段210與第四延伸段231的長度皆為W1=51.7mm。第一延伸段210、第二延伸段211、第三延伸段230及第四延伸段231的寬度皆為W3=3.1mm；第一傳輸線21與第三傳輸線23的寬度皆為W5=4mm。而第一三角形段251a,251b與第二三角形段261a,261b之高度為W4=3mm。至於第一段部25a,25b與二段部26a,26b之間的間距約0.5~1.5mm。 As mentioned above, the lengths of the first transmission line 21 including the first extension 210 and the second extension 211 and the length of the third transmission line 23 including the third extension 230 and the fourth extension 231 are L1 = 53.5mm; the width of the second transmission line 22 and the fourth transmission line 24 are both L3 = 4.9mm; the second transmission line 22 includes the length of the second extension section 211 and the third extension section 230 and the fourth transmission line 24 includes the first The length of one extension section 210 and the fourth extension section 231 are both W1 = 51.7mm. The widths of the first extension 210, the second extension 211, the third extension 230, and the fourth extension 231 are all W3 = 3.1 mm; the widths of the first transmission line 21 and the third transmission line 23 are W5 = 4 mm. The height of the first triangular segments 251a, 251b and the second triangular segments 261a, 261b is W4 = 3mm. As for the distance between the first section 25a, 25b and the second section 26a, 26b is about 0.5 to 1.5 mm.

本發明電路分析與設計的具體技術內容如下所述：傳統分支器結構如圖3所示，Port1(即第一延伸段)為輸入埠，Port2(即第二延伸段)為輸出埠，Port3(即第三延伸段)為耦合埠，Port4(即第四延伸段)為隔離埠，θ ₁=θ ₂=90°，Z ₁=35.35Ω、Z ₂=50Ω(Port2和Port3輸出功率比為1：1)，Z ₁=40.82Ω、Z ₂=70.71Ω(Port2和Port3輸出功率比為 2：1)。首先用公式(1)(2)(3)，將傳統分支器轉換為Z _1n和Z _2n不等長之任意長度分支器如圖4。再以傳輸線和電感L結構之轉換公式(4)(5)取代Z _1n或Z _2n傳輸線如圖5，即可得到Z _1n、θ _1n轉換為Z _1L、θ _1L、L或Z _2n、θ _2n轉換為Z _2L、θ _2L、L等長任意輸出功率比之混合式分支器，如圖1、2。本發明將分成Port2、Port3輸出功率比1：1、2：1以及Z ₁轉換結構、Z ₂轉換結構，共四個種應用實施例進行實作。 The specific technical content of the circuit analysis and design of the present invention is as follows: The structure of a traditional branch is shown in Figure 3, Port1 (that is, the first extension) is an input port, Port2 (that is, the second extension) is an output port, and Port3 ( That is, the third extension) is a coupling port, and Port4 (that is, the fourth extension) is an isolated port. Θ ₁ = θ ₂ = 90 °, Z ₁ = 35.35Ω, Z ₂ = 50Ω (the output power ratio between Port2 and Port3 is 1) : 1), Z ₁ = 40.82Ω, Z ₂ = 70.71Ω (the output power ratio of Port2 and Port3 is 2: 1). First, use formulas (1), (2), and (3) to convert a conventional brancher into a brancher of any length of unequal lengths Z _{1 n} and Z _{2 n,} as shown in Figure 4. Then replace the transmission line and inductance L structure formula (4) (5) instead of Z _{1 n} or Z _{2 n} transmission line as shown in Figure 5, you can get Z _{1 n} , θ _{1 n} into Z _{1 L} , θ _{1 L} , L Or Z _{2 n} , θ _{2 n are} converted into Z _{2 L} , θ _{2 L} , L and other mixed output power ratios, as shown in Figures 1 and 2. The present invention will be divided into Port2, Port3 output power ratio of 1: 1, 2: 1 and a conversion structure Z _1, Z ₂ conversion structure, embodiments of four implementation of applications.

請配合參看圖6a、6b所示為本發明第一應用實施例，其電路功率比1：1之等長混合式分支器(Z ₁轉換)。工作頻率設為918MHz，首先給定功率比1：1傳統分支器傳輸線參數：Z ₁=35.35Ω、Z ₂=50Ω、θ ₁=θ ₂=90°如圖3所示。再給定θ _2n=75°，以公式(1)(2)(3)求得θ _1n=100.54°、Z _1n=35.96Ω，Z _2n=51.76Ω如圖4所示。最後給定θ1_L=37.5°，用公式(4)(5)求得Z _1L=22.93、L=3.6nH。得到功率比為1：1的Z ₁轉換結構之等長混合式分支器，如圖1所示。經由電磁模擬軟體驗證電路特性，選用板材為FR4(1.6mm)，相對介電係數4.3，結構經最佳化調整如圖6a，電路尺寸：L1=48mm、 L2=15.9mm、L3=2.7mm、L4=13mm、W1=51mm、W2=32mm、W3=3mm、W4=9.5mm。經雕刻機加工後實體電路成品如圖6b。由Anritsu-MS2034A網路分析儀量測，與模擬結果進行比較，得電路模擬結果與實體電路頻率響應如圖6c，量測頻率由0到2GHz，大小由0至-50dB，於工作頻率918MHz的|S₁₁|與|S₄₁|皆在-15dB以下，兩端之輸出功率比|S₂₁|與|S₃₁|維持1：1，模擬與量測結果與預期相當接近。 Please refer to FIG. 6a and FIG. 6b for a first application embodiment of the present invention. The circuit power ratio is a 1: 1 equal-length hybrid brancher ( Z ₁ conversion). The working frequency is set to 918MHz. First, the power transmission ratio parameters of the traditional brancher are given as 1: 1: Z ₁ = 35.35Ω, Z ₂ = 50Ω, θ ₁ = θ ₂ = 90 ° as shown in Figure 3. Given θ _{2 n} = 75 °, calculate θ _{1 n} = 100.54 °, Z _{1 n} = 35.96Ω, and Z _{2 n} = 51.76Ω as shown in formula (1) (2) (3). Finally, given θ 1 _L = 37.5 °, Z _{1 L} = 22.93 and L = 3.6nH are obtained by using formulas (4) (5). An equal-length hybrid brancher of the Z ₁ conversion structure with a power ratio of 1: 1 is obtained, as shown in FIG. 1. The circuit characteristics were verified by electromagnetic simulation software. The sheet material was FR4 (1.6mm) and the relative permittivity was 4.3. The structure was optimized and adjusted as shown in Figure 6a. L4 = 13mm, W1 = 51mm, W2 = 32mm, W3 = 3mm, W4 = 9.5mm. The finished solid circuit after processing by the engraving machine is shown in Figure 6b. Measured by Anritsu-MS2034A network analyzer, and compared with the simulation results, the circuit simulation results and the frequency response of the physical circuit are shown in Figure 6c. The measured frequency is from 0 to 2GHz, the size is from 0 to -50dB, and the operating frequency is 918MHz. | S ₁₁ | and | S ₄₁ | are both below -15dB, and the output power ratios at both ends | S ₂₁ | and | S ₃₁ | remain 1: 1, and the simulation and measurement results are quite close to expectations.

請配合參看圖7a、7b所示為本發明第二應用實施例，其電路功率比2：1之等長混合式分支器(Z ₁轉換)。工作頻率設為918MHz，首先給定功率比2：1傳統分支器傳輸線參數：Z ₁=40.82Ω、Z ₂=70.71Ω、θ ₁=θ ₂=90°如圖3所示。再給定θ _2n=75°，以公式(1)(2)(3)求得θ _1n=98.6°、Z _1n=41.29Ω，Z _2n=73.2Ω如圖4所示。最後給定θ _1L=37.5°，用公式(4)(5)求得Z _1L=27.25、L=4nH。得到功率比為2：1的Z ₁轉換結構之等長混合式分支器，如圖1所示。經由電磁模擬軟體驗證電路特性，選用板材為FR4(1.6mm)，相對介電係數4.3，結構經最佳化調整如圖7a，電路尺寸：L1=50mm、L2=16.5mm、L3=3.1mm、L4=1.5mm、W1=50mm、W2=34.5mm、W3=3mm、W4=7.5mm。經雕刻機加工後成品如圖7b。由Anritsu-MS2034A網路分析儀量測，與模擬結果進行比較，得電路模擬結果與實體電路頻率響應如圖7c，量測頻率由0到2GHz，大小由0至-50dB，於工作頻率918MHz的|S₁₁|與|S₄₁|皆在-15dB以下，兩端之輸出功率比1S₂₁|與|S₃₁|維持2：1，模擬與量測結果與預期相當接近。 Please refer to FIG. 7a and FIG. 7b for a second application embodiment of the present invention. The circuit power ratio is a 2: 1 equal-length hybrid brancher ( Z ₁ conversion). The working frequency is set to 918MHz. Firstly, the power ratio of 2: 1 is given for the traditional branch line transmission line parameters: Z ₁ = 40.82Ω, Z ₂ = 70.71Ω, θ ₁ = θ ₂ = 90 ° as shown in Figure 3. Given θ _{2 n} = 75 °, use the formulas (1) (2) (3) to find θ _{1 n} = 98.6 °, Z _{1 n} = 41.29Ω, and Z _{2 n} = 73.2Ω as shown in Figure 4. Finally, given θ _{1 L} = 37.5 °, Z _{1 L} = 27.25 and L = 4nH are obtained by formulas (4) and (5). An equal-length hybrid brancher of the Z ₁ conversion structure with a power ratio of 2: 1 is obtained, as shown in FIG. 1. The circuit characteristics were verified by electromagnetic simulation software. The sheet material was FR4 (1.6mm), the relative permittivity was 4.3, and the structure was optimized and adjusted as shown in Figure 7a. The circuit size: L1 = 50mm, L2 = 16.5mm, L3 = 3.1mm, L4 = 1.5mm, W1 = 50mm, W2 = 34.5mm, W3 = 3mm, W4 = 7.5mm. The finished product processed by the engraving machine is shown in Figure 7b. Measured by Anritsu-MS2034A network analyzer, and compared with the simulation results, the circuit simulation results and the physical circuit frequency response are shown in Figure 7c. The measurement frequency is from 0 to 2GHz, the size is from 0 to -50dB, and the operating frequency is 918MHz. | S ₁₁ | and | S ₄₁ | are both below -15dB, and the output power ratio at both ends is 1S ₂₁ | and | S ₃₁ | are maintained at 2: 1, and the simulation and measurement results are quite close to expectations.

請配合參看圖8a、8b所示為本發明第三應用實施例，其電路功率比1：1之等長混合式分支器(Z ₂轉換)。工作頻率設為918MHz，首先給定功率比1：1傳統分支器傳輸線參數：Z ₁=35.35Ω、Z ₂=50Ω、θ ₁=θ ₂=90°如圖3所示。再給定θ _1n=75°，以公式(1)(2)(3)求得θ _2n=111.47°、Z _1n=36.6Ω，Z _2n=53.73Ω如圖4所示。最後給定θ _2L=37.5°，用公式(4)(5)求得Z _2L=28.1Ω、L=6.3nH。得到功率比為1：1的Z ₂轉換結構之等長混合式分支器，如圖2所示。經由電磁模擬軟體驗證電路特性，選用板材為FR4(1.6mm)，相對介電係數4.3，結構經最佳化調整如圖8a，電路尺寸：L1=57mm、L2=33mm、L3=7mm、W1=51mm、W2=17mm、W3=3mm、W4=3mm、W5=5mm。經雕刻機加工後成品如圖8b。由Anritsu-MS2034A網路分析儀量測，與模擬結果進行比較，得電路模擬結果與實體電路頻率響應如圖8c，量測頻率由0到2GHz，大小由0至-40dB，於工作頻率918MHz的|S₁₁|與|S₄₁|皆在-15dB以下，兩端之輸出功率比|S₂₁|與|S₃₁|維持1：1，模擬與量測結果與預期相當接近。 Please refer to FIG. 8a and FIG. 8b for a third application embodiment of the present invention, whose circuit power ratio is a 1: 1 equal-length hybrid brancher ( Z ₂ conversion). The working frequency is set to 918MHz. First, given the power ratio of 1: 1, the traditional branch transmission line parameters are: Z ₁ = 35.35Ω, Z ₂ = 50Ω, θ ₁ = θ ₂ = 90 ° as shown in Figure 3. Given θ _{1 n} = 75 °, calculate θ _{2 n} = 111.47 °, Z _{1 n} = 36.6Ω, and Z _{2 n} = 53.73Ω as shown in formula (1) (2) (3). Finally, given θ _{2 L} = 37.5 °, Z _{2 L} = 28.1Ω and L = 6.3nH are obtained by using formulas (4) (5). An equal-length hybrid brancher of the Z ₂ conversion structure with a power ratio of 1: 1 is obtained, as shown in FIG. 2. The circuit characteristics were verified by electromagnetic simulation software. The sheet material was FR4 (1.6mm), the relative permittivity was 4.3, and the structure was optimized and adjusted as shown in Figure 8a. Circuit size: L1 = 57mm, L2 = 33mm, L3 = 7mm, W1 = 51mm, W2 = 17mm, W3 = 3mm, W4 = 3mm, W5 = 5mm. The finished product processed by the engraving machine is shown in Figure 8b. Measured by Anritsu-MS2034A network analyzer, and compared with the simulation results, the circuit simulation results and the physical circuit frequency response are shown in Figure 8c. The measurement frequency is from 0 to 2GHz, the size is from 0 to -40dB, and the operating frequency is 918MHz. | S ₁₁ | and | S ₄₁ | are both below -15dB, and the output power ratios at both ends | S ₂₁ | and | S ₃₁ | remain 1: 1, and the simulation and measurement results are quite close to expectations.

請配合參看圖9a、9b所示為本發明第四應用實施例，其電路功率比2：1之等長混合式分支器(Z ₂轉換)。工作頻率設為918MHz，首先給定功率比1：1傳統分支器傳輸線參數：Z ₁=40.82Ω、Z ₂=70.71Ω、θ ₁=θ ₂=90°如圖3所示。再給定θ _1n=75°，以公式(1)(2)(3)求得θ _2n=116.63°、Z _1n=42.26Ω，Z _2n=79.1Ω如圖4所示。最後給定θ _2L=37.5°，用公式(4)(5)求得Z _2L=37.5Ω、L=9.5nH。得到功率比為2：1的Z ₂轉換結構之等長混合式分支器，如圖2所示。經由電磁模擬軟體驗證電路特性，選用板材為FR4(1.6mm)，相對介電係數4.3，結構經最佳化調整如圖9a，電路尺寸：L1=53.5mm、L2=33.3mm、L3=4.9mm、W1=51.7mm、W2=18.5mm、W3=3.1mm、W4=3mm、W5=4mm。經雕刻機加工後成品如圖9b。由Anitsu-MS2034A網路分析儀量測，與模擬結果進行比較，得電路模擬結果與實體電路頻率響應如圖9c，量測頻率由0到2GHz，大小由0至-50dB，於工作頻率918MHz的|S₁₁|與|S₄₁|皆在-15dB以下，兩端之輸出功率比|S₂₁|與|S₃₁|維持2：1，模擬與量測結果與預期相當接近。 Please refer to FIG. 9a and FIG. 9b for a fourth application embodiment of the present invention. The circuit power ratio is a 2: 1 equal-length hybrid brancher ( Z ₂ conversion). The working frequency is set to 918MHz. First, the power line parameters of the traditional branching branch are given as 1: 1: Z ₁ = 40.82Ω, Z ₂ = 70.71Ω, θ ₁ = θ ₂ = 90 ° as shown in Figure 3. Given θ _{1 n} = 75 °, calculate θ _{2 n} = 116.63 °, Z _{1 n} = 42.26Ω, and Z _{2 n} = 79.1Ω as shown in formula (1) (2) (3). Finally, given θ _{2 L} = 37.5 °, Z _{2 L} = 37.5Ω and L = 9.5nH are obtained by using formulas (4) (5). An equal-length hybrid brancher of the Z ₂ conversion structure with a power ratio of 2: 1 is obtained, as shown in FIG. 2. The circuit characteristics were verified by electromagnetic simulation software. The sheet material was FR4 (1.6mm), the relative permittivity was 4.3, and the structure was optimized and adjusted as shown in Figure 9a. The circuit size: L1 = 53.5mm, L2 = 33.3mm, L3 = 4.9mm , W1 = 51.7mm, W2 = 18.5mm, W3 = 3.1mm, W4 = 3mm, W5 = 4mm. The finished product after engraving machine processing is shown in Figure 9b. Measured by an Anitsu-MS2034A network analyzer and compared with the simulation results. The circuit simulation results and the frequency response of the physical circuit are shown in Figure 9c. The measurement frequency is from 0 to 2GHz, and the size is from 0 to -50dB. | S ₁₁ | and | S ₄₁ | are both below -15dB, and the output power ratios at both ends | S ₂₁ | and | S ₃₁ | remain 2: 1, and the simulation and measurement results are quite close to expectations.

以上所述，僅為本發明之可行實施例，並非用以限定本發明之專利範圍，凡舉依據下列請求項所述之內容、特徵以及其精神而為之其他變化的等效實施，皆應包含於本發明之專利範圍內。本發明所具體界定於請求項之結構特徵，未見於同類物品，且具實用性與進步性，已符合發明專利要件，爰依法具文提出申請，謹請鈞局依法核予專利，以維護本申請人合法之權益。 The above description is only a feasible embodiment of the present invention, and is not intended to limit the patent scope of the present invention. Any equivalent implementation of other changes based on the content, characteristics and spirit of the following claims should be It is included in the patent scope of the present invention. The structural features specifically defined in the present invention are not found in similar items, and are practical and progressive. They have met the requirements for invention patents. They have filed applications in accordance with the law. I would like to request the Bureau to verify the patents in accordance with the law in order to maintain this document. Applicants' legitimate rights and interests.

參考資料References

[1] S. B. Cohn, “A Class of Broadband Three-Port TEM-Mode Hybrids,” IEEE Trans. Microwave Theory and Techniques, vol. 16, no. 2, pp. 110-116, February 1968. [1] S. B. Cohn, "A Class of Broadband Three-Port TEM-Mode Hybrids," IEEE Trans. Microwave Theory and Techniques, vol. 16, no. 2, pp. 110-116, February 1968.

[2] S. David, “A wideband coaxial-line power divider,” IEEE Trans. Microwave Theory and Techniques (Correspondence), vol. MTT-15, pp. 270-271, April 1967. [2] S. David, "A wideband coaxial-line power divider," IEEE Trans. Microwave Theory and Techniques (Correspondence), vol. MTT-15, pp. 270-271, April 1967.

[3] E. J. Wilkinson, “An N-Way Hybrid Power Divider,” IRE Trans. Microwave Theory and Techniques, vol. 8, no. 1, pp. 116-118, January 1960. [3] E. J. Wilkinson, "An N-Way Hybrid Power Divider," IRE Trans. Microwave Theory and Techniques, vol. 8, no. 1, pp. 116-118, January 1960.

[4] S. David, “A wideband coaxial-line power divider,” IEEE Trans. Microwave Theory and Techniques (Correspondence), vol. MTT-15, pp. 270-271, April 1967. [4] S. David, “A wideband coaxial-line power divider,” IEEE Trans. Microwave Theory and Techniques (Correspondence), vol. MTT-15, pp. 270-271, April 1967.

[5] J. Reed and G. J. Wheeler, “A Method of Analysis of SymmetricalFour-Port Networks,” IRE Trans. Microwave Theory and Techniques, vol. 4, no. 4, pp. 246-252, October 1956. [5] J. Reed and G. J. Wheeler, "A Method of Analysis of Symmetrical Four-Port Networks," IRE Trans. Microwave Theory and Techniques, vol. 4, no. 4, pp. 246-252, October 1956.

[6] Liao S.S., “Compact planar microstrip branch-line couplers using the quasi-lumped elements approach with nonsymmetrical and symmetrical Tshaped structure,” IEEE Trans. Microw. Theory Tech, 2006, vol. 54, pp. 3508-3514 [6] Liao S.S., "Compact planar microstrip branch-line couplers using the quasi-lumped elements approach with nonsymmetrical and symmetrical Tshaped structure," IEEE Trans. Microw. Theory Tech, 2006, vol. 54, pp. 3508-3514

[7] M.G. Pischenko, “WIDE BAND STRIP-LINE MICROWAVE DIRECTIONAL COUPLER FOR HIGH POWER OPERATION,” 2016 International Conference on Actual Problems of Electron Devices Engineering (APEDE), vol. 1, pp. 1-4, Sep 2016. [7] MG Pischenko, “WIDE BAND STRIP-LINE MICROWAVE DIRECTIONAL COUPLER FOR HIGH POWER OPERATION,” 2016 International Conference on Actual Problems of Electron Devices Engineering (APEDE) , vol. 1, pp. 1-4, Sep 2016.

[8] Ilona Piekarz, “Rat-Race Directional Couplers Operating in Differential Mode,” 2017 IEEE Radio and Wireless Symposium (RWS), pp. 184-186, March 2017. [8] Ilona Piekarz, “Rat-Race Directional Couplers Operating in Differential Mode,” 2017 IEEE Radio and Wireless Symposium (RWS) , pp. 184-186, March 2017.

[9] QING-LING YANG, “SIW Butler Matrix with Modified Hybrid Coupler for Slot Antenna Array,” IEEE Access, vol. 4, pp. 9561-9569, December 2016. [9] QING-LING YANG, "SIW Butler Matrix with Modified Hybrid Coupler for Slot Antenna Array," IEEE Access , vol. 4, pp. 9561-9569, December 2016.

[10] Veljko Crnadak, Siniša Tasić, “VHF Quadrature Hybrid Coupler,” The 23rd Telecommunications Forum TELFOR 2015, November 24-25. [10] Veljko Crnadak, Siniša Tasić, "VHF Quadrature Hybrid Coupler," The 23rd Telecommunications Forum TELFOR 2015, November 24-25.

Claims

一種等長任意輸出功率比之混合式分支器，其包括一基板，及一覆設於該基板上的傳輸線組，該傳輸線組包含四段依序垂直環繞呈一矩形連接的一第一傳輸線、一第二傳輸線、一第三傳輸線及一第四傳輸線，該第一傳輸線二端分別延伸有一第一延伸段及一第二延伸段；該第三傳輸線二端分別延伸有一第三延伸段及一第四延伸段；其中，該第一傳輸線與該第三傳輸線；或是該第二傳輸與該第四傳輸之近中段位置斷開分別形成為具有一間距的一第一段部及一第二段部，並於該二第一段部與該二第二段部相向的二端各自電性連接一電感，以形成一電感等效電路。A hybrid brancher with an arbitrary output power ratio of equal length includes a base plate and a transmission line group covering the base plate. The transmission line group includes four segments of a first transmission line which are vertically surrounded in a rectangular connection in sequence, A second transmission line, a third transmission line, and a fourth transmission line. The first end of the first transmission line is extended with a first extension and a second extension respectively. The third end of the third transmission line is extended with a third extension and a second extension. A fourth extension; wherein the first transmission line and the third transmission line are disconnected; or the second transmission and the fourth transmission are separated from each other at a position near the middle of the first transmission section and formed into a first section and a second section with a space, respectively. An inductor is electrically connected to each of two ends of the two first segment parts and the two second segment parts facing each other to form an inductance equivalent circuit.

如請求項1所述之等長任意輸出功率比之混合式分支器，其中，該第一段部包含一第一長矩形段及一連接在該第一長矩形段末端的第一三角形段；該第二段部包含一第二長矩形段及一連接在該第二長矩形段末端的第二三角形段部，該第一三角形段部之頂點與該第二三角形段部之頂點相向，該電感電性連接在該第一三角形段部與該第二三角形段部之該二頂點的附近。The hybrid brancher with an arbitrary output power ratio as described in claim 1, wherein the first section includes a first long rectangular section and a first triangular section connected to an end of the first long rectangular section; The second segment includes a second long rectangular segment and a second triangular segment connected to the end of the second long rectangular segment. The vertex of the first triangular segment is opposite to the vertex of the second triangular segment. The inductor is electrically connected near the two vertices of the first triangular segment portion and the second triangular segment portion.

如請求項1所述之等長任意輸出功率比之混合式分支器，其中，該第一傳輸線包含該第一延伸段與該第二延伸段的長度及該第三傳輸線包含該第三延伸段與該第四延伸段的長度皆為L1=50mm；該第一段部與該第二段部的長度皆為L2=16.5mm；該第二傳輸線與該第四傳輸線的寬度皆為L4=1.5mm；該第二傳輸線與該第四傳輸線的長度皆為W2=34.5mm；該第一延伸段、該第二延伸段、該第三延伸段及該第四延伸段的寬度皆為W3=3mm；該第一傳輸線與該第三傳輸線的寬度皆為W4=7.5mm。The hybrid brancher of the same length and arbitrary output power ratio as described in claim 1, wherein the first transmission line includes the length of the first extension section and the second extension section and the third transmission line includes the third extension section. And the length of the fourth extension are both L1 = 50mm; the length of the first and second sections are L2 = 16.5mm; the width of the second transmission line and the fourth transmission line are L4 = 1.5 mm; the length of the second transmission line and the fourth transmission line are W2 = 34.5mm; the widths of the first extension, the second extension, the third extension, and the fourth extension are W3 = 3mm ; The width of the first transmission line and the third transmission line are both W4 = 7.5mm.

如請求項1所述之等長任意輸出功率比之混合式分支器，其中，該第一傳輸線包含該第一延伸段與該第二延伸段的長度及該第三傳輸線包含該第三延伸段與該第四延伸段的長度皆為L1=57mm；該第二傳輸線與該第四傳輸線的寬度皆為L3=7mm；該第二傳輸線包含該第二延伸段與該第三延伸段的長度以及該第四傳輸線包含該第一延伸段與該第四延伸段的長度皆為W1=51mm；該第一延伸段、該第二延伸段、該第三延伸段及該第四延伸段的寬度皆為W3=3mm；該第一傳輸線與該第三傳輸線的寬度皆為W5=5mm。The hybrid brancher of the same length and arbitrary output power ratio as described in claim 1, wherein the first transmission line includes the length of the first extension section and the second extension section and the third transmission line includes the third extension section. And the length of the fourth extension are both L1 = 57mm; the width of the second transmission line and the fourth transmission line are both L3 = 7mm; the second transmission line includes the length of the second extension and the third extension and The length of the fourth transmission line including the first extension and the fourth extension is W1 = 51mm; the widths of the first extension, the second extension, the third extension, and the fourth extension are all W3 = 3mm; the width of the first transmission line and the third transmission line are both W5 = 5mm.

如請求項1所述之等長任意輸出功率比之混合式分支器，其中，該第一傳輸線包含該第一延伸段與該第二延伸段的長度及該第三傳輸線包含該第三延伸段與該第四延伸段的長度皆為L1=53.5mm；該第二傳輸線與該第四傳輸線的寬度皆為L3=4.9mm；該第二傳輸線包含該第二延伸段與該第三延伸段的長度以及該第四傳輸線包含該第一延伸段與該第四延伸段的長度皆為W1=51.7mm；該第一延伸段、該第二延伸段、該第三延伸段及該第四延伸段的寬度皆為W3=3.1mm；該第一傳輸線與該第三傳輸線的寬度皆為W5=4mm。The hybrid brancher of the same length and arbitrary output power ratio as described in claim 1, wherein the first transmission line includes the length of the first extension section and the second extension section and the third transmission line includes the third extension section. And the fourth extension are both L1 = 53.5mm in length; the second transmission line and the fourth transmission line are both L3 = 4.9mm in width; the second transmission line includes the second extension and the third extension The length and the length of the fourth transmission line including the first extension and the fourth extension are W1 = 51.7mm; the first extension, the second extension, the third extension, and the fourth extension The width of each is W3 = 3.1mm; the width of the first transmission line and the third transmission line are both W5 = 4mm.

如請求項1所述之等長任意輸出功率比之混合式分支器，其中，該二電感等效電路分別位於該第一傳輸線與該第三傳輸線上；該二電感的電感值皆介於2.6~4.6nH之間；該第一傳輸線與該第三傳輸線的阻抗皆為Z _1n=35.96Ω；該第二傳輸線與該第四傳輸線的阻抗皆為Z _2n=51.76Ω，該第一傳輸線與該第三傳輸線的電氣長度為θ _1n=100.54°，該第二傳輸線與該第四傳輸線的電氣長度為θ _2n=75°，其功率輸出比為1：1。The hybrid brancher of the same length and arbitrary output power ratio as described in claim 1, wherein the two inductor equivalent circuits are respectively located on the first transmission line and the third transmission line; the inductance values of the two inductors are both between 2.6 Between ~ 4.6nH; the impedance of the first transmission line and the third transmission line are both Z _{1 n} = 35.96Ω; the impedance of the second transmission line and the fourth transmission line are Z _{2 n} = 51.76Ω, the first transmission line The electrical length of the third transmission line is θ _{1 n} = 100.54 °, the electrical length of the second transmission line and the fourth transmission line is θ _{2 n} = 75 °, and the power output ratio is 1: 1.

如請求項1所述之等長任意輸出功率比之混合式分支器，其中，該二電感等效電路分別位於該第一傳輸線與該第三傳輸線上；該二電感的電感值皆介於3~5nH之間；該第一傳輸線與該第三傳輸線的阻抗皆為Z _1n=41.29Ω；該第二傳輸線與該第四傳輸線的阻抗皆為Z _2n=73.2Ω，該第一傳輸線與該第三傳輸線的電氣長度為θ _1n=98.6°，該第二傳輸線與該第四傳輸線的電氣長度為θ _2n=75°，其功率輸出比為2：1。The hybrid brancher of equal output and arbitrary output power ratio as described in claim 1, wherein the two inductor equivalent circuits are respectively located on the first transmission line and the third transmission line; the inductance values of the two inductors are both between 3 ~ 5nH; the impedance of the first transmission line and the third transmission line are Z _{1 n} = 41.29Ω; the impedance of the second transmission line and the fourth transmission line are Z _{2 n} = 73.2Ω, the first transmission line and The electrical length of the third transmission line is θ _{1 n} = 98.6 °, the electrical length of the second transmission line and the fourth transmission line is θ _{2 n} = 75 °, and its power output ratio is 2: 1.

如請求項1所述之等長任意輸出功率比之混合式分支器，其中，該二電感等效電路分別位於該第二傳輸線與該第四傳輸線上；該二電感的電感值皆介於8.5~10.5nH之間；該第一傳輸線與該第三傳輸線的阻抗皆為Z _1n=42.26Ω；該第二傳輸線與該第四傳輸線的阻抗皆為Z _2n=79.1Ω，該第一傳輸線與該第三傳輸線的電氣長度為θ _1n=75°，該第二傳輸線與該第四傳輸線的電氣長度為θ _2n=116.63°，其功率輸出比為1：1。The hybrid brancher of the same length and arbitrary output power ratio as described in claim 1, wherein the two inductor equivalent circuits are respectively located on the second transmission line and the fourth transmission line; the inductance values of the two inductors are both between 8.5 ~ 10.5nH; the impedance of the first transmission line and the third transmission line are Z _{1 n} = 42.26Ω; the impedance of the second transmission line and the fourth transmission line are Z _{2 n} = 79.1Ω, the first transmission line The electrical length of the third transmission line is θ _{1 n} = 75 °, the electrical length of the second transmission line and the fourth transmission line is θ _{2 n} = 116.63 °, and the power output ratio is 1: 1.

如請求項1所述之等長任意輸出功率比之混合式分支器，其中，該二電感等效電路分別位於該第二傳輸線與該第四傳輸線上；該二電感的電感值皆介於5.3~7.3nH之間；該第一傳輸線與該第三傳輸線的阻抗皆為Z _1n=36.6Ω；該第二傳輸線與該第四傳輸線的阻抗皆為Z _2n=53.73Ω，該第一傳輸線與該第三傳輸線的電氣長度為θ _1n=75°，該第二傳輸線與該第四傳輸線的電氣長度為θ _2n=111.47°，其功率輸出比為2：1。The hybrid brancher of any output power ratio of the same length as described in claim 1, wherein the two inductor equivalent circuits are respectively located on the second transmission line and the fourth transmission line; the inductance values of the two inductors are both 5.3 Between ~ 7.3nH; the impedances of the first transmission line and the third transmission line are Z _{1 n} = 36.6Ω; the impedances of the second transmission line and the fourth transmission line are Z _{2 n} = 53.73Ω, the first transmission line The electrical length of the third transmission line is θ _{1 n} = 75 °, the electrical length of the second transmission line and the fourth transmission line is θ _{2 n} = 111.47 °, and the power output ratio is 2: 1.