Systems and methods for combining or dividing microwave power using satellite conductors and capable of receiving and retaining a gas

Abstract

A power combiner/divider includes a main conductor; a ground conductor radially exterior of the main conductor; an input connector having a center conductor electrically coupled to the main conductor and having a second conductor electrically coupled to the ground conductor; a conductive cylinder including an inner cylindrical surface radially exterior of and spaced apart from the main conductor, including an outer cylindrical surface; a second ground conductor radially exterior of the outer cylindrical surface of the conductive cylinder, a gap being defined between the second ground conductor and the outer surface of the conductive cylinder; a plurality of output connectors, the output connectors having center conductors electrically coupled to the conductive cylinder and having respective second conductors electrically coupled to the second ground conductor; and means for receiving and retaining a gas inside the divider/combiner. Methods of manufacturing are also disclosed.

Claims

1. A power divider/combiner comprising: a main conductor defining an axis; a ground conductor radially exterior of the main conductor; an input connector having a center conductor, adapted to be coupled to a signal source, electrically coupled to the main conductor and having an axis aligned with the main conductor axis, and having a second conductor electrically coupled to the ground conductor; a cylinder conductor including an end in the shape of a hollow cylinder having slots to define a plurality of satellite conductors, having an inner cylindrical surface radially exterior of and spaced apart from the main conductor, and having an outer cylindrical surface; a second ground conductor radially exterior of the outer cylindrical surface of the conductive cylinder, a gap being defined between the second ground conductor and the outer surface of the conductive cylinder; a plurality of output connectors having respective axes that are perpendicular to the main conductor axis, the output connectors having center conductors electrically coupled to the respective satellite conductors of the conductive cylinder and having respective second conductors electrically coupled to the second ground conductor; and means for receiving and retaining a gas inside the divider/combiner when the divider/combiner is in use with cables coupled to the input connector and output connectors.

2. A power divider/combiner in accordance with claim 1 wherein the means for receiving and retaining a gas comprises a threaded bore extending from exterior of the divider/combiner into the second ground conductor, a passage from the threaded bore to the gap defined between the second ground conductor and the outer cylindrical surface of the cylinder conductor, and a threaded plug selectively received in and plugging the threaded bore.

3. A power divider/combiner in accordance with claim 1 wherein the slotted end of the cylinder conductor has a cylinder axis along its length coincident with the main conductor axis.

4. A power divider/combiner in accordance with claim 1 and having a first end defined by the input connector and having a second end, the output connectors being proximate the second end, and further comprising an inner flange that is electrically and thermally conducting, between the first and second ends, radially exterior of the main conductor, and wherein the means for receiving and retaining a gas comprises an O-ring sealingly arranged between the inner flange and the second ground conductor.

5. A power divider/combiner in accordance with claim 1 wherein the means for receiving and retaining a gas comprises an O-ring sealingly arranged between each output connector and the second ground conductor.

6. A power divider/combiner in accordance with claim 1 and further comprising an electrically and thermally conducting outer back plate at the second end electrically coupled to the main conductor and wherein the means for receiving and retaining a gas comprises an O-ring sealingly arranged between the outer back plate and the second ground conductor.

7. A power divider/combiner in accordance with claim 1 wherein the first ground conductor has an outer diameter, and further comprising an input port flange having an outer diameter greater than the outer diameter of the first ground conductor, having an inner diameter, and electrically coupled to the first ground conductor, wherein the input connector is mechanically attached to the input port flange, and wherein the means for receiving and retaining a gas comprises an O-ring sealingly arranged between the input port flange and the input connector.

8. A power divider/combiner in accordance with claim 6 wherein the means for receiving and retaining a gas comprises an O-ring sealingly arranged between the outer back plate and the main conductor.

9. A power divider/combiner comprising: a stepped main conductor defining an axis; a ground conductor radially exterior of the stepped main conductor; an input connector having a center conductor, adapted to be coupled to a signal source, electrically coupled to the main conductor and having an axis aligned with the main conductor axis, and having a second conductor electrically coupled to the ground conductor, the power divider/combiner having a first end defined by the input connector and having a second end; a conductor including an end in the shape of a hollow cylinder having slots to define a plurality of satellite conductors, and having an inner cylindrical surface radially exterior of and spaced apart from the main conductor, having an outer cylindrical surface; a second ground conductor radially exterior of the outer cylindrical surface, a gap being defined between the second ground conductor and the outer cylindrical surface; a plurality of output connectors, proximate the second end, having respective axes that are perpendicular to the main conductor axis, the output connectors being angularly spaced apart relative to each other along a radius defined by the main conductor axis, the output connectors having center conductors electrically coupled to respective satellite conductors and having second conductors respectively electrically coupled to the second ground conductor; an inner flange that is electrically and thermally conducting, between the first and second ends, radially exterior of the main conductor; and a threaded bore extending from exterior of the divider/combiner into the second ground conductor, a passage from the threaded bore to the gap defined between the second ground conductor and the outer surface of the conductive cylinder, and a threaded plug selectively received in and plugging the threaded bore.

10. A power divider/combiner in accordance with claim 9 and further comprising an O-ring sealingly arranged between the inner flange and the second ground conductor.

11. A power divider/combiner in accordance with claim 9 and further comprising an O-ring sealingly arranged between each output connector and the second ground conductor.

12. A power divider/combiner in accordance with claim 9 and further comprising an electrically and thermally conducting outer back plate at the second end electrically coupled to the main conductor and an O-ring sealingly arranged between the outer back plate and the second ground conductor.

13. A power divider/combiner in accordance with claim 12 and further comprising O-ring sealed cap screws connecting the outer back plate to the second ground conductor.

14. A power divider/combiner in accordance with claim 9 wherein the first ground conductor has an outer diameter, and further comprising an input port flange having an outer diameter greater than the outer diameter of the first ground conductor, having an inner diameter, and between the first ground conductor and the input connector, and further comprising an O-ring sealingly arranged between the input port flange and the input connector.

15. A power divider/combiner in accordance with claim 13 and further comprising an O-ring sealingly arranged between the outer back plate and the main conductor.

16. A power divider/combiner in accordance with claim 9 and further comprising a chamber defined between the first ground conductor and the main conductor, the chamber being in fluid communication with the gap defined between the second ground conductor and the cylindrical outer surface.

17. A method of manufacturing a power divider/combiner, the method comprising: providing a stepped main conductor defining an axis; providing a coax input connector having a center conductor, adapted to be coupled to a signal source and having an axis aligned with the main conductor axis, the coax input connector being electrically coupled to the input connector to the main conductor; providing a hollow cylinder, having slots to define a plurality of satellite conductors, radially exterior of and spaced apart from the main conductor, and having an outer cylindrical surface; providing a plurality of coax output connectors having respective axes that are perpendicular to the main conductor axis, the output connectors having center conductors electrically coupled to the satellite conductors; and providing a chamber capable of receiving and retaining a gas inside the divider/combiner when the divider/combiner is in use.

18. A method of manufacturing a power divider/combiner in accordance with claim 17 wherein the hollow cylinder has a cylinder axis along its length coincident with the main conductor axis.

19. A method of manufacturing a power divider/combiner in accordance with claim 17 and further comprising providing a threaded bore, in fluid communication with the chamber, and a threaded plug, complementary to the threaded bore, plugging the threaded bore.

20. A method of manufacturing a power divider/combiner in accordance with claim 19 and further comprising removing the threaded plug and replacing the threaded plug with a pressure valve.

Description

BRIEF DESCRIPTION OF THE VIEWS OF THE DRAWINGS

(1) FIG. 1 is a side view of a power divider/combiner in accordance with various embodiments, partly in section.

(2) FIG. 2 is a modified form of construction of the power divider/combiner shown in FIG. 1 with cables attached and with a plug replaced with a pressure valve to allow the introduction of a gas.

(3) FIG. 3 is a sectional view taken along line 3-3 of FIG. 1 or FIG. 2.

(4) FIG. 4 is a partial cut-away view of the divider/combiner of FIG. 1 or FIG. 2 showing a connection point.

(5) FIG. 5 is a partial cut-away view of the divider/combiner of FIG. 1 or FIG. 2 in accordance with alternative embodiments.

(6) FIG. 6 is a sectional view taken along line 6-6 of FIG. 1 or FIG. 2.

(7) FIG. 7 is a sectional view taken along line 7-7 of FIG. 1 or FIG. 2.

(8) FIG. 8 is a sectional view taken along line 8-8 of FIG. 7.

(9) FIG. 9 is a partial cutaway view of the divider/combiner of FIG. 8 showing a cap screw O-ring seal embodiment.

(10) FIG. 10 is an exploded perspective view of the power divider/combiner of FIG. 1.

(11) FIG. 11 is an exploded perspective view of the modified form of construction of the power divider/combiner as shown in FIG. 2.

(12) FIG. 12 is a perspective view of a conductor included in the divider/combiner of FIG. 1.

(13) FIG. 13 is a perspective view of the divider-combiner of FIG. 1.

(14) FIG. 14 is a perspective view of the modified form of construction of the divider-combiner as shown in FIG. 2.

(15) FIG. 15 is an equivalent circuit diagram for the divider/combiner shown in FIG. 1 or FIG. 2, when it is operated as a power divider.

(16) FIG. 16 is a graph showing typical input port return loss and output port insertion loss vs. frequency for embodiments of the divider-combiner of FIG. 1 or FIG. 2 that have one input port and ten output ports (when being used as a power divider).

(17) FIG. 17 shows measured RF performance of the divider/combiner of FIG. 2, tested as a power divider.

(18) FIG. 18 is a perspective view of a conductor included in the alternative form of construction of the divider-combiner as shown in FIG. 2.

DETAILED DESCRIPTION OF THE ILLUSTRATED EMBODIMENTS

(19) FIG. 1 shows a microwave power divider 100, which can alternatively be used as a power combiner, in accordance with various embodiments. It will hereinafter be referred to as a power divider-combiner 100.

(20) Hereinafter described as if for use as a power divider, the power divider-combiner 100 has (see FIGS. 1 and 13) a single main input port flange 112, and a quantity N of output port connectors 101. It is to be understood that, for convenience, the terms “input” and “output”, when used herein and in the claims, assume that the divider-combiner is being used as a power divider. The roles of the inputs and outputs are reversed when the divider-combiner is being used as a power combiner.

(21) In the illustrated embodiments, the power divider-combiner 100 (see FIG. 1) has, at a forward end, an input RF connector 118 which is 7-16 DIN female. Other embodiments are possible. For example, in the modified form of construction shown in FIG. 2, the input RF connector is ⅞ EIA consisting of flange 128 and a ⅞ EIA center conductor contact bullet assembly 300 (see FIG. 18) which may fabricated or purchased separately as part 34389A from Andrew Corporation. Other connector types, such as Type N (male or female), 1⅝ EIA, or SC (male or female), could be employed. In the illustrated embodiments, the divider-combiner 100 of FIG. 1 includes a center conductor contact bullet 113 that is received in bore 125 of a center conductor portion 108 which is described below in greater detail. Bullet 113 is either soldered or screwed onto the center conductor of RF connector 118. In the illustrated embodiments, the bullet 113 is slotted. The material for the bullet 113 may be, but is not limited to, any one of the following age-hardened alloys: BeCu, chrome copper, Consil, or phosphor bronze. The bullet 113 may be gold plated or silver plated with a rhodium flash for corrosion protection.

(22) The power divider-combiner 100 further has (see FIGS. 1, 2, and 3) ten Type N (female) connectors for the output ports 101. Other types of output and input RF connectors are possible.

(23) The power divider-combiner 100 includes a slotted hollow cylindrical conductor having tines or satellite conductors 103 (see FIGS. 6, 10, 11, and 12). Each output RF connector 101 has a center conductor 102 electrically connected with an outer end of one of the satellite conductors 103.

(24) FIG. 4 shows center conductor 102 with a slotted end 115 distal from the output port 101 (see FIG. 3) and compression fit into a receiving bore 117 located near an end of the conductor 103. FIG. 5 shows an alternative connection. In the embodiments of FIG. 5, the center conductor 102 is attached with solder or braze alloy 116 into the bore 117 to form the electrical and thermal connection to the conductor 103.

(25) The power divider-combiner 100 includes (see FIGS. 1, 2) a stepped diameter main center conductor including portions 108, 109, and 106 which are electrically connected to each other. The portions 108, 109, and 106 are cylindrical in the illustrated embodiments; however, other shapes are possible. FIG. 1 shows the electrical contact bullet 113 received in the bore 125 in the portion 108, in the illustrated embodiments. FIG. 2 shows a modified form of construction where one end of electrical contact bullet 129 of the ⅞ EIA bullet assembly 300 is received in a bore 125 in the center conductor portion 108. The customer's coax cable has a center conductor 130 that shares the EIA bullet assembly 300.

(26) The power divider-combiner 100 further includes, at a rearward end, an electrically and thermally conducting outer back plate 107 to which portion 106 of the main center conductor electrically and mechanically connects.

(27) In the illustrated embodiments, the power divider-combiner 100 further includes a sidewall or exterior ground conductor 105 that has a central aperture receiving satellite conductors 103, with a gap between the ground conductor 105 and the satellite conductors 103. The output RF connectors 101 are radially spaced apart relative to the portion 106, angularly spaced apart relative to each other, mounted to the sidewall 105, and their center conductors 102 pass through the sidewall 105. Further, the RF connector center conductors 102 define respective axes that are all perpendicular to an axis defined by the portion 106 of the main center conductor, in some embodiments. Other angles are possible, including in-line orientation of the RF output connectors relative to the main center conductor, and out the outer back plate 107, rather than through the sidewall conductor 105.

(28) In the illustrated embodiments, the main center conductor portions 108, 109, 106, and the satellite conductors 103 are substantially one-quarter an electrical wavelength long at the passband mid-band frequency f.sub.O.

(29) The power divider-combiner 100 further includes an inner flange 104 that is electrically and thermally conducting, in the illustrated embodiment. The cylindrical satellite conductors 103 each have a forward end that is electrically and thermally connected to the inner flange 104 and have inner surfaces 103b (see FIGS. 4, 5, and 12) spaced apart from portion 106 of the main center conductor.

(30) The power divider-combiner 100 further includes exterior ground conductors 110 and 111. In some embodiments, (see FIG. 1) the exterior ground conductor 110 is soldered, brazed, or welded to exterior ground conductor 111 and to flange 112 or, in the modified form of construction (see FIG. 2), to flange 128. In various embodiments, an assembly (see FIG. 1) is defined by conductors 110 and 111, and flange 112, (or by conductors 110, 111, and flange 128 in the modified form of construction shown in FIG. 2), and the assembly may be gold or silver plated. In various embodiments, the stepped outer diameter portions 108, and 109 of the main center conductor, and the inner diameters of the exterior ground conductors 110, 111, and 104, define two unit element (quarter-wave) coaxial transmission lines. The outer diameter portion 106, the satellite conductors 103, and the inner diameter of ground conductor 105 define a unit element (quarter-wave) multiconductor coaxial transmission line. The outer diameter of the conductor 103 and the inner diameter of the ground conductor 105 and their connection to the flange 104 define a unit element (quarter-wave) transmission line shorted shunt stub 132 (see FIG. 15).

(31) In the illustrated embodiments, FIG. 1 shows the power divider-combiner 100 further includes a circular O-ring groove 119a in a forward surface of input port flange 112, and an O-ring 120a in the groove 119a, so the O-ring 120a sits between and engages the input port flange 112 and the input connector 118. In the embodiments shown in FIG. 2, the forward surface of the ⅞ EIA flange 128 includes a circular O-ring half-groove 120f that engages a customer-supplied O-ring 120g, which is simultaneously engaged by a corresponding half-groove within the customer coax ⅞ EIA mating flange 133. In the illustrated embodiments (see FIGS. 1, 2, and 8), the power divider-combiner 100 further includes a circular O-ring groove 119b in a forward surface of inner flange 104, and an O-ring 120b in the groove 119b, so the O-ring 120b sits between and engages the cylinder ground conductor 111 and the flange 104. In the illustrated embodiments, the power divider-combiner 100 further includes a circular O-ring groove 119c in a rear surface of inner flange 104, and an O-ring 120c in the groove 119c, so the O-ring 120c sits between and engages the sidewall 105 and the flange 104. In the illustrated embodiments, the power divider-combiner 100 further includes angularly spaced-apart circular O-ring grooves 119d in a forward facing outer surface of the sidewall 105, and O-rings 120d in the grooves 119d, so the O-rings 120d sit between and engage the sidewall 105 and the output port connectors 101. The grooves 119d and O-rings 120d are also shown in FIG. 3. In the illustrated embodiments, the power divider-combiner 100 further includes a circular O-ring groove 119e in a forward facing surface of the rear back plate 107, and an O-ring 120e in the groove 119e, so the O-ring 120e sits between and engages the back plate 107 and the portion 106 of the main center conductor. Instead of a groove, in the illustrated embodiments, the outer back plate 107 has a circular 45 degree chamfer 121 in a forward facing radially exterior cylindrical surface, and the power divider-combiner 100 further includes an O-ring 120f in the chamfer 121, so the O-ring 120f sits between and engages the outer back plate 107 and a rearward facing surface of the sidewall 105. In the illustrated embodiments, O-ring 120h engages a circular O-ring groove 119g within the head of cap screw SC2 (see FIGS. 8, 9, 10, and 11) and sits between the rear back plate 107 and cap screw SC2.

(32) It should be apparent that when an O-ring is provided in a groove of one component that faces another component, the groove could instead be provided in the other component. For example, the groove 119e could be provided in the portion 106 of the main center conductor instead of in the outer back plate 107.

(33) In the illustrated embodiments, the power divider-combiner 100 further includes threaded bores or apertures 123 extending inwardly from the radially exterior cylindrical surface of the sidewall 105. In the illustrated embodiments, the divider-combiner 100 further includes smaller diameter bores or apertures 124, aligned with the bores 123, and extending from the bores 123 to a gap between the sidewall 105 and the cylindrical conductor. In the illustrated embodiments, there are two bores 123 and they are ⅛ NPT threaded bores. In the illustrated embodiments, the power divider-combiner 100 further includes threaded sealing plugs 122 threadedly received in the bores 123. One or both of the plugs 122 may be removed and replaced with pressure valves such as, for example, Schrader (e.g., bicycle tube) pressure valves so that dry Nitrogen or arc suppression gas mixture may be introduced into the interior of the divider-combiner 100 via the bores 124. Other types of pressure valves may be used, such as Presta or Dunlop valves.

(34) There are several reasons why the O-rings 120a-f and h, threaded bores 123, bore 124, and plugs 122 are advantageous. In FIG. 1, with both plugs 122 replaced with Schrader valves by the customer, dry Nitrogen can be introduced through one Schrader valve and allowed to exit the other Schrader valve so as to purge moisture-laden air from the sealed divider/combiner interior. In alternative form of construction shown in FIG. 2, the four small bores 127 in the ⅞ EIA center conductor contact bullet 300 (see FIGS. 8, 18) allow dry nitrogen to flow throughout the length of a coax cable system, that includes the divider-combiner 100, to remove moisture condensation. In this case, only one plug 122 is removed and replaced with a Schrader valve which provides input gas flow. The other sealed plug 122 can remain in place or be replaced with a pressure gauge.

(35) Consider a divider-combiner at one end of a long coax cable going up through a broadcast tower to another adapter connected to an antenna, for example. Winter environment can cause moisture condensation which may result in arcing within the cable assembly during broadcast operation. To prevent this from occurring, dry nitrogen (or de-humidified air) is introduced via the Schrader valve connection at one end of the cable assembly, and exits through another Schrader valve at the far end of the cable assembly. Referring to FIGS. 2, 11 and 18, ventilation holes 127 in the ⅞ EIA bullet assembly 300 dielectric 126 permit gas flow throughout the cable system. The O-rings 120a-f and h and at the EIA flange interfaces protect the cable interior from exterior moisture (cable jacket condensation or rainfall onto the cable system leading to the tower, for example), as well as preventing any leakage of the dry nitrogen flow.

(36) Higher-pressure within the divider-combiner 100 and the connecting cable interior increases the air dielectric breakdown strength. The entire system, including cables 135 (see FIG. 2) may then withstand higher microwave power transmission.

(37) In some microwave radar and countermeasure systems used in fighter aircraft, the microwave waveguide and cable system components are pressurized at ground level. For example, in FIG. 1 the 7-16 DIN RF connector O-ring 120a and the cable 135 which connects to it completely seal the forward end of the divider-combiner. Both plugs 122 may be replaced with Schrader valves and the divider-combiner interior then purged with moisture-free pressurized nitrogen or other pressurized gas mixture having a gas cable connection 136. Then the gas feed is removed, the Schrader valves are capped, and the divider-combiner 100 is expected to hold pressure for the duration of the flight mission. The O-rings 120a-f help maintain this interior pressure.

(38) The O-rings 120a-f and h also allow the introduction of high-breakdown strength gas, such as sulfur hexafluoride. The O-rings 120a-f and h keep this expensive (and possibly toxic) gas contained in the divider-combiner 100. The divider-combiner 100 with O-rings 120a-f and h and built with a 7-16 DIN input connector 118 is sealed, in some embodiments. There are no ventilation holes in the connector dielectric. The divider-combiner 100 then uses two Schrader valves mounted so that the divider-combiner's interior may be successfully filled with the arc-protection gas compound.

(39) Referring to FIG. 1, the electrical short 104a is located at reference plane a-a, and the shorted shunt stub 132 makes connection to the output connector center conductors 102 at reference plane b-b.

(40) Collectively, the three unit element transmission lines with characteristic admittances Y.sub.1, Y.sub.2, N.sub.SY.sub.12 and the shorted shunt stub sections with characteristic admittances Y.sub.10 and N.sub.SY.sub.20 are electrically modeled, in a generalized form, as a passband filter equivalent circuit shown in FIG. 15. A passband is a portion of the frequency spectrum that allows transmission of a signal with a desired minimum insertion loss by means of some filtering device. In other words, a passband filter passes a band of frequencies to a defined passband insertion loss vs. frequency profile. Desired filter passband performance is achieved by a two-step process:

(41) 1) Given a source admittance quantity Y.sub.S, divider quantity (number of outputs) N.sub.S, load admittance quantity N.sub.SY.sub.L and desired passband a) bandwidth, and b) input port return loss peaks within the passband, calculate the unit element transmission line characteristic admittances Y.sub.1, Y.sub.2, N.sub.SY.sub.12 and unit element shorted shunt stub characteristic admittance values Y.sub.10 and N.sub.SY.sub.20 (see FIG. 15). This may be accomplished, as one approach, using the design theory as described in M. C. Horton and R. J. Wenzel, “General theory and design of quarter-wave TEM filters,” IEEE Trans. on Microwave Theory and Techniques, May 1965, pp. 316-327.

(42) 2) After determining the above desired electrical transmission line characteristic admittances, then find corresponding diameters for the conductors 108, 109, and 106, and MTL cross section dimensions (referring to Section 5-5, FIG. 6) that achieve the desired values of unit element characteristic admittances Y.sub.1, Y.sub.2 and MTL unit element characteristic admittance values N.sub.S*Y.sub.12, Y.sub.10, and Y.sub.20. These unit element characteristic admittances will be described below in greater detail.

(43) For a homogeneous dielectric MTL, its characteristic admittance matrix Y is proportional to a MTL cross-section capacitance matrix C. Referring to the numbered conductors of Section 5-5 of FIG. 6, the 11×11 capacitance matrix C is defined as follows:

(44) The row 1, column 1 capacitance element C(1,1) hereinafter C11, is found from Q1=C11*V1 where V1 is a voltage applied to conductor 1 (say, 1 volt), with all other conductors 2, 3, . . . up to conductor 11 held at zero volts (the ground conductor shield is always held at zero volts). Q1 is the total surface charge on conductor 1—a positive charge for V1 being positive. Row 1, column 1 element C11=Q1/V1.

(45) The row 1, column 2 element C12 is found from C12=Q2/V1 where V1 is a voltage applied to conductor 1, with all other conductors 2, 3, . . . , 11 held at zero volts—as before. Q2 is the total induced surface charge on conductor 2. This is always a negative value, when V1 is positive.

(46) The row 2, column 2 element C22 is found from Q2=C22*V2 where V2 is a voltage applied to conductor 2 (say, 1 volt), with all other conductors 1, 3, . . . , 11 held at zero volts. Q2 is the total surface charge on conductor 2−a positive number for V2 positive. Then C22=Q2/V2.

(47) The row 2, column 3 element C23 is found from C23=Q3/V2 where V2 is a voltage applied to conductor 2 (say, 1 volt), with all other conductors 1, 3, . . . , 11 held at zero volts, as before. Q3 is the total surface charge induced on conductor 3, a negative quantity for positive V2.

(48) The analysis of the above for an arbitrary multiconductor cross-section is based on theory presented by C. Wei, R. Harrington, J. Mautz, and T. Sarkar, “Multiconductor transmission lines in multilayered dielectric media,” IEEE Trans. on Microwave Theory and Techniques, Vol. MTT-32, pp. 439-450, April 1984.

(49) The multiconductor transmission line characteristic admittance matrix Y=v*C, where v is the velocity of light. Air dielectric is assumed. The quantity Y.sub.12 is from the first row, second column of Y. The quantity Y.sub.12 is seen in FIGS. 15 and 16.

(50) The transmission line characteristic admittances Y.sub.10 and Y.sub.20 are derived from elements of matrix Y, and are defined in FIG. 15.

(51) The MTL physical cross-section dimensions (FIG. 6) are chosen to give the desired values of Y.sub.11=v*C11, Y.sub.12=v*C12, Y.sub.22=v*C22, and Y.sub.23=v*C23, and thus the desired values for unit element characteristic admittances Y.sub.10 and Y.sub.20, referring to the numbering of conductors shown in FIG. 6. The quantity v is the speed of light in air, and the capacitive matrix elements C11, C12, C22, and C23 have the units of farads/meter. The units of Y.sub.11, Y.sub.12, Y.sub.22, Y.sub.23, Y.sub.10, and Y.sub.20 are in mhos.

(52) As an example, given: N.sub.S=10, Y.sub.S=Y.sub.L=0.02 mho, 23 dB return loss peaks are desired for a bandwidth F.sub.2/F.sub.1=2.91, where F.sub.1, F.sub.2 represent the lower and upper edges of the passband, respectively. Using the Horton & Wenzel technique, unit element characteristic admittances Y.sub.1, Y.sub.2, and MTL unit element characteristic admittance values N.sub.S*|Y.sub.12|, Y.sub.10, and Y.sub.20 were found. FIG. 16 shows calculated response using these derived characteristic admittances used in the equivalent circuit shown in FIG. 15. Cross-section dimensions throughout the filter device were then determined so as to achieve these unit element characteristic admittances. The calculated scattering parameters S.sub.11, . . . , S.sub.n1 plotted in FIG. 16 characterize a Chebyshev filter response throughout the passband F.sub.1 through F.sub.2. The Horton & Wenzel technique also can be used to find different values for Y.sub.1, Y.sub.2, N.sub.S*|Y.sub.12|, Y.sub.10, and Y.sub.20 to achieve other types of filter response such as, for example, maximally flat filter response.

(53) FIG. 17 shows measured RF performance of the divider-combiner of FIG. 2. Tested as a power divider, measured RF performance shows good correlation with predicted main port return loss −20*LOG.sub.10(|S.sub.11|) (dB) and typical output port insertion loss −20*LOG.sub.10(|S.sub.n1|) (dB) vs. frequency compared to the calculated response as shown in FIG. 16.

(54) Various conductive materials could be employed for the conductive components of the power divider-combiner 100. For example, in some embodiments, the parts (other than those parts for which materials have been already described) are fabricated from 6061 alloy aluminum. For corrosion resistance, some of these parts may be a) alodine coated, or b) electroless nickel flash-coated and MILspec gold plated. In other embodiments, parts are made of brass or magnesium alloy, also MILspec gold plated. Another possibility is MILspec silver plated, with rhodium flash coating to improve corrosion resistance.

(55) To better enable one of ordinary skill in the art to make and use various embodiments, FIGS. 10 and 11 show exploded views of the power divider-combiner 100 of FIGS. 1 and 2. In the illustrated embodiments, the 7-16 DIN female RF connector 118 is (see FIG. 1 and exploded view FIG. 10) mounted with four 6-32×0.375″ socket head cap screws SC6. Referring to FIGS. 8, 9, 10, and 11, five 6-32×0.625″ socket head screws SC2 each include an O-ring 120h contained in a groove 119g machined into the head of the cap screw (FIG. 9). In some embodiments, the screws SC2 that are employed are obtained from ZAGO Manufacturing. In the modified form of construction (FIG. 2 and exploded view FIG. 11), the ⅞ EIA bullet assembly 300 mates into flange 128 and simultaneously press-fit into receiving bore 125 in the divider-combiner 100 center conductor portion 108.

(56) The main stepped diameter center conductor, defined by the portions 108, 109, and 106, is fabricated as one piece, in the illustrated embodiments. It is bolted to the outer back plate 107 using a single ¼-20×¾″ stainless steel cap screw SC3 (see FIG. 8, 10 or 11). Other size screws or other methods of attachment can be employed. The portions 108, 109 and 106 are the center conductors for three unit element coaxial transmission lines.

(57) FIG. 12 shows a perspective view of a flange satellite conductor assembly 200 in accordance with various embodiments. In the illustrated embodiments, the flange satellite conductor assembly 200 includes the inner conducting flange 104 and quantity N.sub.S satellite conductors 103. In the illustrated embodiments, the flange 104 and the satellite conductors 103 are machined from a common piece. In alternative embodiments, the flange 104 and satellite conductors 103 are separate pieces that are thermally and electrically connected together. The satellite conductors 103 are bolted, soldered, or brazed, or press fit onto conducting flange 104 in alternative embodiments. Each conductor 103 includes an outer conductive surface 103a that is cylindrical or generally cylindrical in the illustrated embodiments. Each conductor 103 further includes an inner conductive surface 103b that is cylindrical or generally cylindrical in the illustrated embodiments. The flange satellite conductor assembly 200 includes a first end defined by the flange 104 and a second end 103c, defined by each conductor 103. The end 103c defines a radial line conductor surface. The flange 104 includes an alignment hub outer surface 104b and a short circuit conducting surface 104a. The outer surface 104b has an outer cylindrical surface having a diameter that is larger than the diameter of the outer cylindrical surface 103a of the conductor 103. The flange 104 also has an outer cylindrical surface having a diameter greater than the diameter of the surface 104b. Previously described apertures 117 for receiving center conductors 102 are shown.

(58) FIG. 13 shows a perspective view of the power divider-combiner 100 of FIG. 10 after assembly. In the modified form of construction, FIG. 14 shows a perspective of the power divider-combiner 100 of FIG. 11 after assembly.

(59) In the filter circuit synthesis technique as presented in the Horton & Wenzel reference, a desired circuit response (return loss over a passband as shown in FIG. 16, for example) results from the synthesis of transmission line characteristic admittances for a sequence of one or more unit element (substantially quarter-wave at the mid-band frequency f.sub.O) transmission lines that may be interspersed with unit element shorted shunt stub transmission lines, as shown in FIG. 15 for this example.

(60) Referring to FIGS. 1, 2, 4, and 5 and the equivalent circuit shown in FIG. 15, the inner conductor 108 and the outer conductor 110 form a unit element (substantially quarter-wave) transmission line with characteristic admittance Y.sub.1. The inner conductor 109, the inner surfaces of conductors 110, 111, and of flange 104 form a unit element transmission line with characteristic admittance Y.sub.2. The multiconductor transmission line (MTL) is comprised of outer conductor 105, the quantity N.sub.S satellite conductors 103, and center conductor 106. The equivalent circuit for this MTL is as follows (see G. Matthaei, L. Young, and E. M. T. Jones, Microwave Filters, Impedance-matching Networks, and Coupling Structures, Artech House Books, Dedham, M A, 1980, FIGS. 5.09-1a ‘Schematic and Equivalent Circuit,’ p. 220): 1) Electrical reference plane a-a (FIG. 15) corresponds to the physical reference plane a-a shown in FIG. 1. The outer backplate 107 in FIG. 1 serves as the short circuit for the unit element shorted shunt stub 131 in FIG. 15. The characteristic admittance is Y.sub.10=Y.sub.11+N.sub.S*Y.sub.12 for the unit element within stub 131 (FIG. 15). 2) Electrical reference plane b-b (FIG. 15) corresponds to the physical reference plane b-b shown in FIG. 1. The inner flange surface 104a (FIGS. 1,12) serves as the short circuit for the unit element shunt stub 132 (FIG. 15). The characteristic admittance is N.sub.S*Y.sub.20 for the unit element within stub 132 (FIG. 15), where Y.sub.20=Y.sub.22+Y.sub.12+Y.sub.23+Y.sub.24+ . . . +Y.sub.2,11 (see FIG. 6 for numbering of the conductors). 3) Between reference planes a-a and b-b (FIG. 15) is a unit element with characteristic admittance N.sub.S*Y.sub.12, and having a unit element midband frequency phase length θ=θ′+θ.sub.R where θ.sub.R is the phase length of the radial transmission line 114 (FIG. 4 or 5) formed by each satellite conductor tip surface 103c and the outer backplate 107, there being a quantity N.sub.S such radial transmission lines. The above described unit elements are substantially one-quarter wavelength long at the passband mid-band frequency f.sub.O. One way of interpreting a quarter-wavelength transmission line (at the mid-band frequency f.sub.O) is that it ‘transforms’ the wave admittance on a Smith Chart along a circle about the origin (where the reflection coefficient magnitude is zero) exactly 180 degrees.

(61) In the illustrated embodiments, the quantity N.sub.S of output RF connectors equals ten, and the corresponding quantity N.sub.S of receiving bores 117 (FIGS. 4, 5, 10, 11, and 12) in the conductor 103 equals ten. Other values of N.sub.S=2, 3, . . . , 20 or more are possible. For example, a two-way divider-combiner has quantity N.sub.S=2 equally spaced receiving bores 117 (and therefore N.sub.S=2 output RF connectors).

(62) In the illustrated embodiments, there are two coax unit elements having transmission line characteristic admittances Y.sub.1 and Y.sub.2 (FIG. 15) with respective center conductor portions 108 and 109 (FIG. 1) that precede the physical reference plane a-a. However, for designs requiring less bandwidth, only zero or one coax unit elements preceding the physical reference plane a-a may be used. Alternatively, three or more coax unit elements preceding physical reference plane a-a may be required for very broad-band designs requiring very low VSWR (voltage standing wave ratio) throughout the passband, as measured at the divider input port.

(63) In various embodiments, the flange 112 of FIG. 1 (or, in the modified form of construction, flange 128 of FIG. 2) and the conductor 110 are shown as separate pieces soldered, brazed, or welded together. Alternatively, the flange 112 and conductor 110 of FIG. 1 (or flange 128 and conductor 110 of FIG. 2) may be machined as one piece. Outer conductor 110 and the conductor 111, in the form of a flange, are shown in FIG. 1 as brazed or soldered together. Alternatively, conductor flange 111 may be bolted to a thick-walled conductor 110. Using four stainless steel cap screws SC1 from behind (see FIG. 10 or 11), flange 111 sandwiches flange 104 to thread into four corresponding threaded holes in the back face (hidden from view) of outer conductor 105, in various embodiments. Other mechanical attachment methods can be employed.

(64) In the illustrated embodiments, the overall structure may alternatively be constructed (excluding the ten output connectors 101 and their respective center conductors 102) using 3D printing, followed by plating with an electrically conducting material.

(65) Divider output connectors 101 (FIG. 1, 2, 3, 10, 11, 13, or 14) are shown as flange mounted Type N (female) connectors. Each output connector (only one of ten connectors 101 is shown in FIGS. 10, 11) mounts to outer conductor 105 using two 4-40× 3/16″ cap screws SC4 (FIGS. 10, 11). Other Type N (female, or male) mounting types and other mechanical attachments can be employed. Other kinds of output RF connectors, such as TNC, SMA, SC, 7-16 DIN, 4.3-10 DIN male or female, and other EIA-type flanges can be employed. Press-fit, brazed or soldered non-flanged RF connectors may also be employed.

(66) In the illustrated embodiments, the stepped center conductor plus back plate 108, 109, 106, 107 assembly is bolted to the end interior of MTL ground conductor 105 by means of five 6-32×⅝″ stainless steel cap screws SC2 (FIGS. 8, 9, 10, 11). Other mechanical attachment methods can be employed.

(67) Referring to the numbered conductors of Section 5-5 of FIG. 6, the MTL cross-section dimensions were adjusted, in various embodiments, so that the admittance matrix Y of this MTL yielded the desired quantities for Y.sub.12, Y.sub.10, and Y.sub.20.

(68) In compliance with the patent statutes, the subject matter disclosed herein has been described in language more or less specific as to structural and methodical features. However, the scope of protection sought is to be limited only by the following claims, given their broadest possible interpretations. Such claims are not to be limited by the specific features shown and described above, as the description above only discloses example embodiments.