CN107732400A - A kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer - Google Patents

A kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer Download PDF

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CN107732400A
CN107732400A CN201710767958.7A CN201710767958A CN107732400A CN 107732400 A CN107732400 A CN 107732400A CN 201710767958 A CN201710767958 A CN 201710767958A CN 107732400 A CN107732400 A CN 107732400A
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mrow
waveguide
mfrac
msubsup
ridge
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CN107732400B (en
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蒲友雷
孙健健
吴泽威
方波
唐洪
罗勇
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University of Electronic Science and Technology of China
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University of Electronic Science and Technology of China
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P5/00Coupling devices of the waveguide type
    • H01P5/12Coupling devices having more than two ports
    • H01P5/16Conjugate devices, i.e. devices having at least one port decoupled from one other port
    • H01P5/19Conjugate devices, i.e. devices having at least one port decoupled from one other port of the junction type
    • H01P5/22Hybrid ring junctions
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P1/00Auxiliary devices
    • H01P1/02Bends; Corners; Twists
    • H01P1/022Bends; Corners; Twists in waveguides of polygonal cross-section
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P11/00Apparatus or processes specially adapted for manufacturing waveguides or resonators, lines, or other devices of the waveguide type
    • H01P11/001Manufacturing waveguides or transmission lines of the waveguide type
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P3/00Waveguides; Transmission lines of the waveguide type
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P3/00Waveguides; Transmission lines of the waveguide type
    • H01P3/02Waveguides; Transmission lines of the waveguide type with two longitudinal conductors
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P3/00Waveguides; Transmission lines of the waveguide type
    • H01P3/02Waveguides; Transmission lines of the waveguide type with two longitudinal conductors
    • H01P3/06Coaxial lines
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P3/00Waveguides; Transmission lines of the waveguide type
    • H01P3/12Hollow waveguides
    • H01P3/123Hollow waveguides with a complex or stepped cross-section, e.g. ridged or grooved waveguides

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  • Engineering & Computer Science (AREA)
  • Manufacturing & Machinery (AREA)
  • Plasma Technology (AREA)
  • Waveguide Aerials (AREA)

Abstract

The invention discloses a kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer, belong to millimeter-wave technology field.The structure includes:Coaxial input waveguide, transition structure, radial waveguide and N roads ridge probe coupling output array.Power divider/synthesizer of the present invention employs the coaxial waveguide of the low reflection in broadband to the power distribution mode of radial waveguide transition structure, matching circular ring structure and ridge probe, substantially increases the bandwidth of operation of power divider/synthesizer;Radial waveguide power divider disposably completes power distribution, reduces the path loss of power distribution;Simultaneously as the circumference symmetry of structure and radial waveguide mode of operation, ensure that the good amplitude-phase consistency of distribution Hou Ge roads signal.So as to which higher-wattage combined coefficient can be realized during as power combiner.

Description

A kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer
Technical field
The invention belongs to millimeter-wave technology field, and in particular to a kind of radial waveguide power divider/synthesizer.
Background technology
In the last few years, the fast-developing power level and bandwidth of operation to millimeter-wave communication system of millimeter-wave technology proposed Higher and higher requirement.Therefore, have power output is high, working band is wide performance millimeter-wave power amplifiers increasingly by To favor.Solid-state power amplifier has small volume, in light weight, supply voltage low and the advantage such as good reliability, turns into millimeter wave The ideal chose of power amplifier.But as frequency rises to millimeter wave frequency band, solid-state chip size diminishes.By Semiconductor Physics The influence of the factors such as characteristic, processing technology, impedance matching and chip cooling, single-chip power output are limited, it is impossible to meet Gao Gong The requirement of rate system.In order to make up this deficiency, the power output of multiple power amplifier modules can be synthesized, realized big Power output.
Crucial power distribution/synthesis network in low insertion loss, broadband and high power capacity of power synthetic technique Realization.Usual power synthetic technique includes:(1) planar circuit power synthetic technique (2) is quasi-optical and free-space power synthesizes The power synthetic technique of technology (3) based on metal waveguide.Planar circuit power synthetic technique based on microstrip structure has wideband Band and advantages of simple structure and simple, but as working frequency rises to millimeter wave frequency band, micro-strip loss is obvious, is largely lost to knot The heat-radiation belt of structure carrys out very big problem.In addition, when synthesizing way increase, the path loss of the Distributed Power Architecture also increases therewith Add.Therefore, the planar circuit power distribution synthetic technology based on microstrip structure applies in general to microwave frequency band and distribution/synthesis road The few situation of number.There is the quasi-optical and free-space power synthetic technology that last century the eighties propose combined coefficient not synthesized The advantage that way influences, receives significant attention and studies.But in millimere-wave band, device volume is larger, exist complicated, add Work realizes that the problems such as difficult needs to solve.Power synthetic technique based on metal waveguide has power capacity height, insertion loss low With working band it is wider the characteristics of, be a kind of conventional synthetic technology of millimeter wave frequency band.
Radial waveguide power divider/synthesizer is a kind of conventional power synthetic technique based on metal waveguide.Pass through profit With coaxial waveguide by inside signal feed-in radial waveguide, and the TEM mode of work is played in radial waveguide underexcitation.Then, it is located at TEM mode is realized constant power distribution and externally exported by the output rectangular waveguide or output coaxial waveguide of radial waveguide periphery.Cause This, radial waveguide power divider/synthesizer can disposably realize the distribution and synthesis of power, reduce path damage to greatest extent Consumption.Simultaneously as the circumference symmetry of its structure, it is ensured that signal in the good amplitude-phase consistency in power distribution port, from And improve power combining efficiency.The most of radial waveguide Distributed Power Architectures reported at present in the application of millimeter wave frequency band still There is problems with.When power distribution/synthesis way is more, if exported using rectangular waveguide, it is difficult to realize wide working band.Though The Distributed Power Architecture of right coaxial waveguide can realize wider working band.But millimeter wave frequency band coaxial probe and coaxial Waveguide dimensions structure is smaller, and the processing and assembling to coaxial inner conductor probe bring very big difficulty.
The content of the invention
In order to overcome the shortcomings of prior art, the present invention proposes a kind of millimeter wave broadband ridge probe radial waveguide power Distribution/synthesizer.The power divider/synthesizer has that working band is wide, power distribution/synthesis Phase amplitude-matched is good, compact-sized The advantages that small volume, process and assemble facilitate, it is especially suitable for the application of millimeter wave broadband power synthesis amplifier.
To achieve these goals, present invention employs following technical scheme:
A kind of millimeter wave crest probe radial waveguide power divider/synthesizer, including:Coaxial input waveguide, transition structure, footpath To waveguide and N roads ridge probe coupling output array.
The coaxial input waveguide uses standard coaxial waveguide, and its port Impedance is 50 ohm, and internal and external conductor radius meets Coaxial waveguide single mode transport condition:λ > 3.456 (a+b), wherein a, b are respectively coaxial waveguide inner wire radius and outer conductor half Footpath, λ are waveguide work wavelength.
The transition structure is that coaxial waveguide is transitioned into the smooth resistance gradual changing structure of radial waveguide.Wherein, outer conductor Contour curve is 1/4 circular arc that radius is R, and inner wire contour curve is the smooth curve of M section circular sliding slopes.Transition structure has Gradual change impedance, it is possible to achieve coaxial waveguide impedance to the Broadband Matching between radial waveguide sending-end impedance.Alternatively, transition knot Structure impedance transition mechanism relation can be exponential fade, triangle gradual change, Klopfenstein gradual changes or other any gradual change relations.
Wherein the designing points of transition structure inner wire contour curve and step are as follows:
It is respectively a, b to be marked with quasi- coaxial waveguide internal and external conductor radius, the length of transition structure with outer conductor opisometer, Then transition section length s is π R/2;Transition structure impedance is Z (z) with length z variation relations, wherein 0≤z≤s.
1. the circular arc of outer conductor contour curve 1/4 is divided into M sections circular arc (M=3 in Fig. 2 schematic diagrames), M sections circular arc can obtain To M+1 coordinate points, decile arc section junction arbitrfary point k (0≤k≤M) coordinate is obtainedAngle wherein on coordinate Mark represents internal and external conductor curve, and 1 represents outer conductor curve, and 2 represent inner wire curve, and subscript k represents at k-th point.
2. decile circular arc tie point does M bars (point to connect except k=0 point with coaxial waveguide) and outer conductor circle above excessively The tangent straight line of arcAnd these tangent lines intersect to obtain M point with y-axis.Wherein, any kth bar tangent lineEquation be:
Any kth bar tangent lineWith the angle of y-axisFor:
Tangent lineIntersect point coordinates with y-axis for (0, Ck):
3. because the length of transition structure is with outer conductor opisometer, then pointImpedance isWith reference to cone Shape Waveguide Characteristic Impedance, by CkDraw inner wire curve near tangentWhen,With the angle of y-axisFor:
It is thus possible to obtain the equation of the M articles tangent line (in addition to k=0 points) of inner wire M section circular arcs, binding site CkSit Mark, kth bar tangent lineEquation is:
4. because transition structure inner wire is the smooth curve formed by M section circular sliding slopes, if wherein kth section circular arc Central coordinate of circle is (pk,qk), radius rk.It can be obtained from geometrical relationship, the center of circle of inner wire kth section circular arc is located at straight lineOn, with reference to formula (7), obtain pkAnd qkMeet relation:
Again by the center of circle (p of kth section circular arck,qk) arrive straight lineAnd straight lineP is obtained apart from equalkAnd qkWhat is met is another Individual relation:
The formula combined above by formula (8) and (9) obtains the center of circle and radius of each section of circular arc of inner wire, finally by each section Circular sliding slopes obtain the smooth curve of inner wire profile.
The radial waveguide includes radial waveguide disc structure and matching circular ring structure, wherein waveguide disc structure input Connected with transition structure output end, and outermost is the enclosed construction of short-circuit wall.The radius of radial waveguide disc structure can root Determined according to the way of power distribution/synthesis, to accommodate enough way coupling-out structures.The height of radial waveguide disc structure with The vertical drop of transition structure internal and external conductor end is identical.Annulus is matched to realize that the broadband couple device of N roads ridge probe exports, And connect with short-circuit wall on the outside of radial waveguide, matching annulus is highly less than radial waveguide height.
N roads ridge probe coupling output array is located at below radial waveguide, circularly symmetric to be uniformly distributed, to realize each port etc. Power couples.The ridge probe coupling-out structure includes ridge probe structure 1, ridge waveguide elbow structure and ridge waveguide to square wave Lead probe transitions structure.
The ridge probe structure 1 includes ridge probe, the impedance variations section of λ/4 and the ridge waveguide being sequentially connected.Its median ridge probe Inserted by ridge extension in ridge waveguide inside radial waveguide disc structure.Alternatively, the shape of ridge probe structure 1 can be cuboid Structure or cylindrical structure.The transformer section of λ/4 is high impedance section, to realize ridge probe to the impedance matching between ridge waveguide.Ridge Waveguide is then connected with the ridge waveguide elbow structure of lower section.
The ridge waveguide elbow structure realizes conversion of the electromagnetic wave by vertical direction to horizontal direction.
The ridge waveguide includes ridge probe structure 2, ladder rectangular transition waveguide and defeated to rectangular waveguide probe transitions structure Go out rectangular waveguide.Ridge waveguide is to rectangular waveguide probe transitions structure realizing transition of the ridge waveguide to standard output rectangular waveguide Conversion.Ridge probe structure 2 is extended out by ridge in ridge waveguide and inserts ladder rectangular transition waveguide.
The ladder rectangular transition waveguide is multistage ladder Rectangular Waveguide Structure, ridge probe structure 2 can be matched into square Shape waveguide, realize the low transmission and reflection of signal.Output rectangular waveguide uses standard rectangular waveguide, to facilitate with other millimeter of wave system System is attached.
When the present invention is used as power divider, the course of work is as follows:
Electromagnetic signal is input to transition structure by coaxial waveguide, when electromagnetic wave passes through transition structure, gradually by on-axis wave The TEM mode led transforms to the TEM mode in radial waveguide, and there occurs 90 degree of changes for direction of an electric field.Then transition structure In electromagnetic signal be input to radial waveguide structure, and onwards transmission is come at N roads ridge probe structure 1 in radial waveguide.By There is circumference symmetry in the electromagnetic signal in radial waveguide, each road ridge probe experiences identical electromagnetic field, so N roads ridge is visited Signal constant power to be allocated coupling is input to inside ridge waveguide by needle construction 1, and forms Quasi-TEM mode to forward pass in ridge waveguide It is defeated.Electromagnetic signal in ridge waveguide plays TE by ridge probe structure 2 in rectangular waveguide underexcitation01Pattern, and pass through ladder square Shape waveguide realizes low reflection transition.Last signal is by standard rectangular waveguide constant amplitude with mutually output.
When being used as power combiner, electromagnetic signal is inputted the present invention by the standard rectangular waveguide, by with above-mentioned power The inverse process of synthesizer work realizes the power combing of N roads electromagnetic signal, is finally exported from standard coaxial waveguide.
The present invention has some following advantage:
1. working band is wide:Power divider/synthesizer of the present invention employs the coaxial waveguide of the low reflection in broadband to radial wave The power distribution mode of transition structure, matching circular ring structure and ridge probe is led, substantially increases the work of power divider/synthesizer Bandwidth.
2. power distribution/combined coefficient is high:Radial waveguide power divider of the present invention disposably completes power distribution, reduces The path loss of power distribution;Simultaneously as the circumference symmetry of structure and radial waveguide mode of operation, after ensure that distribution The good amplitude-phase consistency of each road signal.So as to which higher-wattage combined coefficient can be realized during as power combiner.
3. insertion loss is low, power capacity is big:Radial waveguide power divider/synthesizer of the present invention is using metal waveguide Structure, there is relatively low insertion loss and higher power capacity.
4. easy to process and assembling:Power divider/synthesizer each several part of the present invention is waveguiding structure, is easy to carry out machinery Processing.Compared with coaxial probe structure, the structure of ridge probe avoids the problem of installation needs higher concentricity, reduces assembling Difficulty.
Brief description of the drawings
Fig. 1 is that a kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer structure of the embodiment of the present invention is shown It is intended to;
Fig. 2 is a kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer transition structure of the embodiment of the present invention Design diagram;
Fig. 3 is radial waveguide internal structure schematic diagram after power divider/synthesizer local transparent of the embodiment of the present invention;
Fig. 4 is the structural representation that the road ridge probe of embodiment 10 couples an output array wherein branch road;
Fig. 5 is the structural representation of Fig. 4 ridge probe coupling-out structure median ridges probe structure 1;
Fig. 6 is the side sectional view of Fig. 4 ridge probe coupling-out structure median ridge waveguide bend structures;
Fig. 7 be Fig. 4 ridge probe coupling-out structures in ridge waveguide to rectangular waveguide probe transitions texture edge sectional view with Top view;
Fig. 8 is defeated to each rectangle for the reflectance factor of the coaxial input waveguide port of the embodiment of the present invention and coaxial input waveguide Go out the transmission coefficient of waveguide;
Fig. 9 be the embodiment of the present invention coaxial input waveguide to each rectangle output waveguide transmission coefficient phase.
Drawing reference numeral explanation:1 it is coaxial input waveguide, 2 be transition structure, 3 be radial waveguide, 4 is the coupling of N roads ridge probes Output array, 3-1 be matching circular ring structure, the 4-1 in radial waveguide be ridge probe structure 1,4-2 be ridge waveguide elbow structure, 4-3 be ridge waveguide to rectangular waveguide probe transitions structure, 4-1-1 be the median ridge probe of ridge probe structure 1,4-1-2 be ridge probe knot The transformer section of λ in structure/4,4-1-3 are ridge waveguide, 4-3-1 is ridge waveguide to the ridge probe in rectangular waveguide probe transitions structure Structure 2,4-3-2 are the waveguide of ladder rectangular transition, 4-3-3 is rectangular waveguide.
Embodiment
Below in conjunction with the accompanying drawings, by taking the embodiment of the tunnel power divider/synthesizer of Q-band 10 as an example, to one kind of the present invention Millimeter wave broadband ridge probe radial waveguide power divider/synthesizer further illustrates, but the invention is not limited in the embodiment.
It is the tunnel power divider/synthesizer of Q-band of the embodiment of the present invention 10 as shown in Figure 1, the coaxial feed-in power of input waveguide 1 Signal externally exports signal after synthesis.Its internal and external conductor radius a, b are respectively 0.478mm and 1.1mm.
In the present embodiment, the arc radius of 2 outer conductor of transition structure 1/4 is 5mm, then transition structure length L is 2.5 π.It is interior Conductor curve is made up of 20 sections of circular arc lines, i.e. M=20.The sending-end impedance Z of transition structure 20It is identical with coaxial input waveguide impedance For 50 Ω, output end impedance ZLIt is taken as 15 Ω.The impedance transition mechanism relation of transition structure 2 is exponential fade, i.e.,:
Z (z)=ZoeTz 0≤z≤s (10)
Wherein, T meets:
As shown in figure 3, the radius of radial waveguide disc structure 3 is 12.5mm, it is highly 1.524mm.Match annulus cylindrical half Footpath is 12.5mm, and inner circle radius 9.04mm, annulus is highly 1.41mm.
The road ridge probe coupling output array wherein branch structures of Tu4Wei 10, other branch roads and the complete phase of the branch structure Together.The signal that wherein ridge waveguide transmission comes from the coupling of ridge probe, duct width 2.44mm, is highly 1.2mm, inner wire ridge Width is 1.22mm, is highly 0.84mm.In the embodiment, ridge probe structure 1 is rectangular parallelepiped structure, by ridge waveguide inner wire ridge Extending out inside insertion radial waveguide, its width and ridge waveguide inner wire ridge width are all mutually 1.22mm, thickness 0.41mm, Highly it is 0.7mm.
Fig. 6 show ridge waveguide elbow structure, and it is in the metal derby width and ridge waveguide that the relatively interior ridge in turning point protrudes Ridge width is all mutually 1.22mm, and sectional dimension is respectively 0.39mm × 0.39mm, and is shown in both sides rounding, radius For 0.13mm.
Fig. 7 show ridge waveguide to rectangular waveguide probe transitions structure, ridge probe structure 2 be to be extended by ridge in ridge waveguide The rectangular conductor block come, and insert inside ladder rectangular waveguide.Ladder rectangular waveguide is 2 grades of hierarchic structures in the present embodiment, Its width is all mutually 7.112mm with WR-22 duct widths.The first order is highly 2.02mm, and length 1.64mm, the second level is highly It is 2.49mm for 2.28mm length.Rectangular waveguide 4-3-3 is WR-22 rectangular waveguides.
Fig. 8,9 are simulation result of the embodiment of the present invention, and in the embodiment, the reflectance factor of coaxial input waveguide port exists - 15dB is approximately less than in the range of 36-50GHz, -20dB is approximately less than in the range of 38-49GHz, substantially covers in bandwidth whole Individual Q frequency ranges.As shown in figure 8, in the range of 36-50GHz, coaxial each rectangle output waveguide transmission coefficient amplitude of input waveguide differs Cause property is less than ± 0.2dB, and amplitude coincidence is good.Compared with the transmission coefficient -10dB of theory, the embodiment radial waveguide work(point The transmission loss of device is less than -0.5dB.As shown in figure 9, the phase of coaxial input waveguide to rectangle output waveguide transmission coefficient is basic Identical, phase equalization is preferable.
Above-described embodiment is the preferable embodiment of the present invention, e insufficient to limit embodiments of the present invention, other It is any without departing from the present invention Spirit Essence with made under principle change, modification, replacement, combine, simplify be regarded as it is equivalent Substitute mode, be included within protection scope of the present invention.

Claims (6)

1. a kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer, including coaxial input waveguide, transition structure, Radial waveguide and N roads ridge probe coupling output array;
The transition structure is that coaxial waveguide is transitioned into the smooth resistance gradual changing structure of radial waveguide;
The radial waveguide includes radial waveguide disc structure and matching circular ring structure, wherein radial waveguide disc structure input Connected with transition structure output end, and outermost is the enclosed construction of short-circuit wall;The height of radial waveguide disc structure and transition The vertical drop of structure internal and external conductor end is identical;Matching annulus connects with short-circuit wall on the outside of radial waveguide, and matching annulus is high Degree is less than radial waveguide height;
The N roads ridge probe coupling output array is located at below radial waveguide, including circularly symmetric equally distributed N roads ridge probe Coupling-out structure;The ridge probe coupling-out structure includes ridge probe structure 1, ridge waveguide elbow structure and ridge waveguide to square Shape waveguide probe transition structure;
The ridge probe structure 1 includes ridge probe, the impedance variations section of λ/4 and the ridge waveguide being sequentially connected;Its median ridge probe is by ridge In waveguide inside ridge extension insertion radial waveguide disc structure;The transformer section of λ/4 is high impedance section, to realize ridge probe to ridge Impedance matching between waveguide;Ridge ripple directive/guide and the ridge waveguide elbow structure of lower section connect;
The ridge waveguide elbow structure realizes conversion of the electromagnetic wave by vertical direction to horizontal direction;
The ridge waveguide includes ridge probe structure 2, the waveguide of ladder rectangular transition and output square to rectangular waveguide probe transitions structure Shape waveguide;Ridge waveguide to rectangular waveguide probe transitions structure to realize ridge waveguide to standard output rectangular waveguide transition turn Change;Ridge probe structure 2 is extended out by ridge in ridge waveguide and inserts ladder rectangular transition waveguide;
The waveguide of ladder rectangular transition is multistage ladder Rectangular Waveguide Structure, and ridge probe structure 2 is matched into rectangular waveguide, realizes letter Number low transmission and reflection;Output rectangular waveguide uses standard rectangular waveguide, is attached with facilitating with other millimeter-wave systems.
2. a kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer as claimed in claim 1, its feature exist In:The transition structure outer conductor contour curve is 1/4 circular arc that radius is R, and inner wire contour curve is M section circular sliding slopes Smooth curve;Transition structure has gradual change impedance, realizes coaxial waveguide impedance to the broadband between radial waveguide sending-end impedance Matching.
3. a kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer as claimed in claim 2, its feature exist In:The transition structure impedance transition mechanism relation can be exponential fade, triangle gradual change, Klopfenstein gradual changes or it is any other Gradual change relation.
4. a kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer as claimed in claim 2, its feature exist In:The designing points and step of the transition structure inner wire contour curve are as follows:
It is respectively a, b to be marked with quasi- coaxial waveguide internal and external conductor radius, and the length of transition structure is with outer conductor opisometer, then mistake It is π R/2 to cross segment length s;Transition structure impedance is Z (z) with length z variation relations, wherein 0≤z≤s;
1. the circular arc of outer conductor contour curve 1/4 is divided into M section circular arcs, M sections circular arc can obtain M+1 coordinate points, obtain Cyclotomy segmental arc junction arbitrfary point k coordinate0≤k≤M, wherein coordinate superscript represent internal and external conductor curve, 1 generation Off-balancesheet conductor curve, 2 represent inner wire curve, and subscript k represents at k-th point;
<mrow> <msubsup> <mi>x</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mo>=</mo> <mi>R</mi> <mo>-</mo> <mi>R</mi> <mi> </mi> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>k</mi> <mi>&amp;pi;</mi> </mrow> <mrow> <mn>2</mn> <mi>M</mi> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>+</mo> <mi>b</mi> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msubsup> <mi>y</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mo>=</mo> <mi>R</mi> <mi> </mi> <mi>sin</mi> <mo>(</mo> <mfrac> <mrow> <mi>k</mi> <mi>&amp;pi;</mi> </mrow> <mrow> <mn>2</mn> <mi>M</mi> </mrow> </mfrac> <mo>)</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
2. decile circular arc tie point does M bars and the tangent straight line of outer conductor circular arc above excessivelyExcept k=0 point i.e. and on-axis wave The point to connect is led, and these tangent lines intersect to obtain M point with y-axis;Wherein, any kth bar tangent lineEquation be:
<mrow> <mi>y</mi> <mo>=</mo> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mo>&amp;lsqb;</mo> <mfrac> <mrow> <mo>(</mo> <mi>M</mi> <mo>-</mo> <mi>k</mi> <mo>)</mo> <mi>&amp;pi;</mi> </mrow> <mrow> <mn>2</mn> <mi>M</mi> </mrow> </mfrac> <mo>&amp;rsqb;</mo> <mi>x</mi> <mo>+</mo> <msubsup> <mi>y</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mo>-</mo> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mo>&amp;lsqb;</mo> <mfrac> <mrow> <mo>(</mo> <mi>M</mi> <mo>-</mo> <mi>k</mi> <mo>)</mo> <mi>&amp;pi;</mi> </mrow> <mrow> <mn>2</mn> <mi>M</mi> </mrow> </mfrac> <mo>&amp;rsqb;</mo> <msubsup> <mi>x</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
Any kth bar tangent lineWith the angle of y-axisFor:
<mrow> <msubsup> <mi>&amp;theta;</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mo>=</mo> <mfrac> <mrow> <mi>k</mi> <mi>&amp;pi;</mi> </mrow> <mrow> <mn>2</mn> <mi>M</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
Tangent lineIntersect point coordinates with y-axis for (0, Ck):
<mrow> <mo>(</mo> <mn>0</mn> <mo>,</mo> <msubsup> <mi>y</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mo>-</mo> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mo>&amp;lsqb;</mo> <mfrac> <mrow> <mo>(</mo> <mi>M</mi> <mo>-</mo> <mi>k</mi> <mo>)</mo> <mi>&amp;pi;</mi> </mrow> <mrow> <mn>2</mn> <mi>M</mi> </mrow> </mfrac> <mo>&amp;rsqb;</mo> <msubsup> <mi>x</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mo>)</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
3. because the length of transition structure is with outer conductor opisometer, then pointImpedance isWith reference to tapered transmission line Characteristic impedance, by CkDraw inner wire curve near tangentWhen,With the angle of y-axisFor:
<mrow> <msubsup> <mi>&amp;theta;</mi> <mi>k</mi> <mn>2</mn> </msubsup> <mo>=</mo> <mn>2</mn> <mi>arctan</mi> <mo>&amp;lsqb;</mo> <mfrac> <mrow> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mrow> <mo>(</mo> <mfrac> <msubsup> <mi>&amp;theta;</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mn>2</mn> </mfrac> <mo>)</mo> </mrow> </mrow> <msup> <mi>e</mi> <mfrac> <mrow> <mi>Z</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>k</mi> <mi>s</mi> </mrow> <mi>M</mi> </mfrac> <mo>)</mo> </mrow> </mrow> <mn>60</mn> </mfrac> </msup> </mfrac> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
It is thus possible to inner wire is obtained in addition to k=0 points, and the equation of the M articles tangent line of M section circular arcs, binding site CkCoordinate, kth Bar tangent lineEquation is:
<mrow> <mi>y</mi> <mo>=</mo> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mrow> <mo>(</mo> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mo>-</mo> <msubsup> <mi>&amp;theta;</mi> <mi>k</mi> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> <mi>x</mi> <mo>+</mo> <msubsup> <mi>y</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mo>-</mo> <mi>tan</mi> <mo>&amp;lsqb;</mo> <mfrac> <mrow> <mo>(</mo> <mi>M</mi> <mo>-</mo> <mi>k</mi> <mo>)</mo> <mi>&amp;pi;</mi> </mrow> <mrow> <mn>2</mn> <mi>M</mi> </mrow> </mfrac> <mo>&amp;rsqb;</mo> <msubsup> <mi>x</mi> <mi>k</mi> <mn>1</mn> </msubsup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
4. because transition structure inner wire is the smooth curve formed by M section circular sliding slopes, if the wherein center of circle of kth section circular arc Coordinate is (pk,qk), radius rk;It can be obtained from geometrical relationship, the center of circle of inner wire kth section circular arc is located at straight lineOn, With reference to formula (7), p is obtainedkAnd qkMeet relation:
<mrow> <msub> <mi>q</mi> <mi>k</mi> </msub> <mo>=</mo> <mi>tan</mi> <mo>(</mo> <mrow> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mo>-</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mn>2</mn> </msubsup> </mrow> <mo>)</mo> <msub> <mi>p</mi> <mi>k</mi> </msub> <mo>+</mo> <msubsup> <mi>y</mi> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mn>1</mn> </msubsup> <mo>-</mo> <mi>tan</mi> <mo>&amp;lsqb;</mo> <mfrac> <mrow> <mo>(</mo> <mi>M</mi> <mo>-</mo> <mi>k</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> <mi>&amp;pi;</mi> </mrow> <mrow> <mn>2</mn> <mi>M</mi> </mrow> </mfrac> <mo>&amp;rsqb;</mo> <msubsup> <mi>x</mi> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mn>1</mn> </msubsup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>
Again by the center of circle (p of kth section circular arck,qk) arrive straight lineAnd straight lineP is obtained apart from equalkAnd qkAnother pass met System:
<mrow> <mfrac> <mrow> <mo>|</mo> <mi>tan</mi> <mrow> <mo>(</mo> <mrow> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mo>-</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mn>2</mn> </msubsup> </mrow> <mo>)</mo> </mrow> <msub> <mi>p</mi> <mi>k</mi> </msub> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>q</mi> <mi>k</mi> </msub> <mo>|</mo> </mrow> <msqrt> <mrow> <msup> <mrow> <mo>&amp;lsqb;</mo> <mrow> <mi>tan</mi> <mrow> <mo>(</mo> <mrow> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mo>-</mo> <msubsup> <mi>&amp;theta;</mi> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mn>2</mn> </msubsup> </mrow> <mo>)</mo> </mrow> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <mn>1</mn> </mrow> </msqrt> </mfrac> <mo>=</mo> <mfrac> <mrow> <mo>|</mo> <mi>tan</mi> <mrow> <mo>(</mo> <mrow> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mo>-</mo> <msubsup> <mi>&amp;theta;</mi> <mi>k</mi> <mn>2</mn> </msubsup> </mrow> <mo>)</mo> </mrow> <msub> <mi>p</mi> <mi>k</mi> </msub> <mo>+</mo> <msub> <mi>C</mi> <mi>k</mi> </msub> <mo>-</mo> <msub> <mi>q</mi> <mi>k</mi> </msub> <mo>|</mo> </mrow> <msqrt> <mrow> <msup> <mrow> <mo>&amp;lsqb;</mo> <mrow> <mi>tan</mi> <mrow> <mo>(</mo> <mrow> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mo>-</mo> <msubsup> <mi>&amp;theta;</mi> <mi>k</mi> <mn>2</mn> </msubsup> </mrow> <mo>)</mo> </mrow> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <mn>1</mn> </mrow> </msqrt> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
The formula combined above by formula (8) and (9) obtains the center of circle and radius of each section of circular arc of inner wire, finally by each section of circular arc Connection obtains the smooth curve of inner wire profile.
5. a kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer as claimed in claim 1, its feature exist In:The coaxial input waveguide uses standard coaxial waveguide, and its port Impedance is 50 ohm, and internal and external conductor radius meets on-axis wave Lead single mode transport condition:λ > 3.456 (a+b), wherein a, b are respectively coaxial waveguide inner wire radius and outer conductor radius, and λ is Waveguide work wavelength.
6. a kind of millimeter wave broadband ridge probe radial waveguide power divider/synthesizer as claimed in claim 1, its feature exist In:The shape of the ridge probe structure 1 is rectangular parallelepiped structure or cylindrical structure.
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