March 2, 1948. F. J. BINGLEY ‘2,437,067 ADJUSTING MEANS FOR TRANSMISSION LINES Filed NOV. 17, 1943 2 SheetYs-Sheet 1 J7 ii F/c7i2 F755. rul ‘ gywg % r J WW March 2, 1948. 2,437,067 F. J. BINGLEY ADJUSTING MEANS FOR TRANSMISSION LINES Filed NOV. 17, 1945 2 Sheets-Sheet 2 5?‘ 410/ / /0/ 4*" _l . ‘ 1/ a 5"“ J/Ig, .. Mg 4. g ?la" A4 Patented Mar. 2, 1948 2,437,067 UNITED STATES PATENT OFFICE 2,437,067 ADJUSTING MEANS FOR TRANSMISSION LINES Frank J. Bingley, Philadelphia, Pa., assignor, by mesne assignments, to Philco Corporation, Philadelphia, Pa., a corporation of Pennsyl vania Application November 17, 1943, Serial No. 510,671 6 Claims. (Cl. 178-44) 1 2 This invention relates to co-axial transmission lines and has to do with the problem of main taining matched impedances while providing for impedances of the trombone and the connected line sections. Another important aspect of this invention is a novel telescopic joint which serves to avoid the line-length adjustments. In ultra high frequency transmitting installa creation of a superfluous and detrimental inter tions—particularly television-it is common prac tice to employ a co-axial transmission line for in terconnecting the transmitter per se with the radiating antenna; and for certain electrical rea sons, which need not be explained here, it is ex pedient to insert in such a line means by which its electrical length can be adjusted. One such means which is highly convenient comprises a U-shaped portion of co-axial cable known as a mediate characteristic impedance between the trombone, or other adjusting section, and the ad jeining quarter-wave sections-which latter im pedance would function to destroy or impair the impedance match which is intended to be 1,0 achieved. While a trombone is generally the most desir able form of line-length adjusting means for car_ rying out this invention, it will be pointed out “trombone,” because of its similarity, in appear; 15 that, where circumstances permit, there can be ance, to the slidable tube in the musical instru employed, instead, a straight section capable of ment of that name. performing the same function as the trombone. Interconnecting two sections of co-axial line In the drawings which accompany this speci through the medium of a trombone affords the ?cation essential lengthwise adjustability; but, as prac 20 Fig. 1 is a schematic diagram of a television ticed heretofore has resulted in objectionable im transmitting system, showing a co-axial transmis pedance mismatches-—which it is the primary ob sion line with an adjusting “trombone” in accord ject of this invention to avoid. That is to say, it ance with this invention; is the primary object to provide convenient and Fig. 2 is a schematic diagram of an alternative effective means whereby the length of a co-axial 25 arrangement showing a straight telescopic adjust line can be adjusted without introducing an im ing section which can be employed in place of the pedance mismatch. trombone; It is a subordinate object to devise a trombone Fig, 3 shows details of construction of the trom type line-length adjustment which introduces no impedance mismatch. It is well known that two transmission line sec bone; 30 Fig. 4 shows, for comparison, a trombone con struction not in conformity with the invention; and tions having di?erent characteristic impedances can be coupled without mismatching by interpos Fig. 5 is a detail of the straight telescopic sec— ing between the adjoining ends a quarter-wave tion of Fig. 2. length coupling section whose characteristic im 35 In Fig. 1, the rectangle I may be taken to rep pedance is equal to the geometric mean of the characteristic impedances of the line sections to be coupled. That is to say, the coupled line sec tions will be matched if resent a television transmitter the output of which is connected through a co-aXial transmis sion line 2 to a dipole antenna 3. To provide for adjustments of the length of the transmission 40 line there is inserted therein a trombone section Z1=V Z222 (1) 4 which is slidably movable, as indicated by the where Z1 is the characteristic impedance of the double-headed arrow 5. It is old practice to make quarter-wave-length coupling section and Z2 and use of a trombone section for varying line length; Z: are, respectively, the characteristic impedances but in the past this practice has resulted in the of the two line sections to be coupled. 45 introduction of impedance mismatches between One of the major aspects of the present in the interconnected line sections-the mismatch vention resides in the concept that a trombone in each case being due to the fact that the char section can be made to match, as to characteristic acteristic impedance of the trombone was not impedances, each of two line sections, and can identical with that of the interconnected line be made to maintain the impedance match 50 sections, and the further fact that the trombone throughout all adjustments, by interposing be tween each leg of the trombone and its respec could not be made to operate as a matching sec tion because it could not be a quarter-wave tively associated line section a quarter-wave sec length long, or odd multiple thereof, in more than tion having a characteristic impedance which is one position of adjustment. equal to the geometric mean of the characteristic 55 My invention consists, in part, in the provision 2,487,067 3 A of two quarter-wave sections 6 and ‘l intercon necting the two ends of the trombone with the two line sections 8 and 9-each quarter-wave side of Equation 2, there is obtained an equation expressing the dimensional properties which must obtain between each quarter-wave section and section having a characteristic impedance equal to the geometric mean of the characteristic im the line sections which it intercouples in order to realize an impedance match. pedances of the sections which it interconnects. Thus, the characteristic impedance of quarter Thus: wave section 6 must be equal to the geometric mean or" the characteristic impedances of trom logm logm logm bone ti and line section 8. This is expressed 10 'The'dimensional ‘quantities A1, A2, A3, B1, B2 and B3 are indicated in Fig. 3. The left side of Equa mathematically by the previously stated For tion 3 de?nes the characteristic impedance of each quarter-wave section while the two factors under the radical on the right side de?ne, re the transmitter I or antenna 3, and is generally 15 spectively, the characteristic impedances of sec tions 8 and it, or sections 9 and 4—as the case preferred for that reason. But where it is not mula 1. The arrangement of Fig. 1 makes it possible to adjust line length Without disturbing either inconvenient to move the transmitter or antenna maybe; It W-lllc'bé seen that the only variables entering there may be employed, instead of the trombone, into determination of the characteristic imped a straight adjusting section ID, as shown in Fig. 2. The arrangement of Fig. 2 is in all other respects 20 ance of a co-axial cable are the diameters B and A and the ratio identical with that of Fig. 1. In Fig. 3 there is illustrated in detail the con B struction of that portion of the line which in A cludes trombone 4 and quarter-wave sections 6 and that the length of the line is irrelevant. '- The and ‘I, together with fragments of line sections 8 and 9. ' 'actual dimensions‘ A and B are immaterial, ex Each section of the line, including the trom bone section and the quarter-wavesections, as cept insofar as they affect the cross-section. Line section 9 is composed of similar conductors 9a and 9b; and quarter-wave section '5 of corresponding conductors 1a, ‘lb. the quarter-wave ‘sections ‘would'be destroyed; and, of course, the impedance match between the main line sections would also'be destroyed in B well as main sections 8 and 9, is a co-axial cable A comprising an outer tubular conductorand an 30 ratio. ' axial conductor which is centralized with the It follows ‘from the above that‘ if the ‘telescopic outer tubular conductor by means of suitable in joints‘ea'ch presented a‘ short intervening portion sulators. Line section 8 is composed of an .outer 'of line. having a characteristicimpedance of its tubular conductor 8a and an axial conductor 81), own-differing from that of' the quarter-‘wave both of circular cross-section. Quarter-wavesec 35 sections and di?ering'from that ‘of the trom tion 6 is composed of an outer tubular conductor bone-the impedance match between the trom Ga and an axial conductor 61), likewise of circular bone and main line sections ‘brought ‘about by Trombone 1% comprises an outer tubular conduc tor do and an axial conductor lib, each of circular cidentally. In the structure of Fig. 3 the tele scopic joints! do not possess any characteristic cross-section. impedance which differs from the characteristic The axial conductors are centralized and sup impedance of the ‘respective ‘quarter-‘wave sec ported by means of insulating discs Ill. 45 tions. This is true because, irrespective of the The length of each quarter-wave section can position of adjustment of the trombone, the be either one quarter-wave length (at the trans mitted frequency) or any odd multiple thereof. B A makes it easy to maintain the essential im 50 ratio within each telescoped portion remains con pedance match between the trombone andthe stant, andlalways equal to that of one ‘of the two two main line sections 8 and 9 residesin the ar connected fsections-iinrthis case the quarter An important feature of this invention, which rangement of the telescopic joints H and 12, wave section. which afford slidable interconnection between In order to achieve that condition certain re the trombone and the quarter-wave sections; and 55 quirements must be rmet. These requirements in order to make clear the signi?cance, from an electrical standpoint, of the particular arrange ment of joint shown, it will be eXpedient'to dis cuss briefly the mathematics involved in the de termination of characteristic impedance of co axial conductors, and to restate in dimensional terms the previously given equation for matching impedances. The formula for computing the characteristic ' are (1) theiconductors ‘of each of the twointer telescope'd sections must be external and internal, respectively, in relation to the ‘corresponding con ductors of the other section, and (2) the external 60 axial conductor must-beco-terminous with the internal tubular conducton. Applying this rule, it will be seen that section 6..(Fig_ 3) is composed of a tubular member 6a constituting the internal tubular member of joint vl-l, while the companion impedance of a co-axial cable comprising a cir 65 member 61) constitutes the external axialmem cular outer tube and a circular axial conductor is berof the joint. The other half of joint H is composed vof an external tubular member lia and an internal axial member. llb. This satisfies the ?rst requirement of the rule. The second re wherein Z is the characteristic impedance to be 70 quirement of the rule- is satis?ed by the fact that the lower end of conductor '51) is co-terminous determined; 13 is the inside diameter of the tube; with the lower end of conductor ‘6a. That is to and A is the outside diameter of the axial con sayrt-hey terminate in thesame lateral plane. ductor. If they did not so terminate there would be 'in~ Substituting in the general Formula 1 expres sions according to the form of the right hand 75 vtroduc'ed a section of intermediate character 1. §' (2) 5 2,487,067 6 lstlc impedance which would impair the imped and concentric with said external axial conduc ance match. tive member, said tubular conductive members of each joint being slidably telescoped together, With the view to further clari?cation of this important point, there is shown in Fig. 4 a trom said axial conductive members of each joint being bone structure which is the full equivalent, me slidably telescoped together, said external axial chanically, of Fig. 3, but quite different electri cally in that it does not satisfy the requirements of the above-stated rule and, therefore, will not conductive member being co-terminous with said internal tubular conductive member. 2. In a co-axial transmission line, two co-axial maintain an impedance match when the trom impedance-matching sections each having an bone is moved in either direction from the one 10 electrical length equal to an odd number of quar precise setting in which it is shown in full lines. ter-wave lengths, and a U-shaped co-axial trom The only constructional difference between bone section interconnecting said matching sec Fig. 3 and Fig. 4 is that in Fig. 4 the relation tions and adjustably movable with respect there ship of the axial conductors ‘lb’ and 6b’ is re to, there being a telescopic sliding joint formed . versed as compared to the corresponding con 15 between one end of said trombone section and ductors of Fig. 3. Axial conductors 8b’ and 9b’ one end of one of said matching sections, and a are shown smaller than corresponding conductors second telescopic sliding joint formed between 8b and 9b in order to conform to the essentialities the other end of said trombone section and one for obtainment of an impedance match with the end of the other matching section, one half of trombone in the position of adjustment wherein 20 each said joint comprising an internal axial con it is shown in full lines. In that position and ductive member and an external tubular conduc no other the characteristic impedance of the tive member surrounding and concentric with trombone of Fig. 4 is matched to those of the said axial conductive member, the other half of main line sections 8' and 9'; and that is true each said joint comprising an external axial con because when the trombone is moved to any other 25 ductive member and an internal tubular conduc position such, for example, as that indicated by the dot-dash lines, there is introduced at each tive member surrounding and concentric with said external axial conductive member, said tubular conductive members of each joint being joint 2. new intermediate characteristic imped ance which arises from the presence of a new slidably telescoped together, said axial conduc 80 tive members of each joint being slidably tele B . scoped together, said external axial conductive A member being co-terminous with said internal ratio. This ratio, with the trombone moved up tubular conductive member, wardly, would be 3. A co-axial transmission line comprising two 35 main sections, an adjustable movable section for a A3 and with the trombone moved downwardly it would be 2 A1 varying the length of the line, and two coupling sections, all of said sections being connected in series, said coupling sections each having an elec trical length equal to an odd number of quarter 40 wave lengths, and each interposed lengthwise in Fig. 3 embodying the novel telescopic joints therein shown represents the preferred practice. between and interconnecting one of said main sections and one end of said adjusting section, each of said coupling sections having a charac teristic impedance equal to the geometric mean of the characteristic impedances of the said sec tions to which it is immediately connected. 4. A co-axial transmission line comprising two main sections, an adjustable movable section for Details of construction of the adjusting ar varying the length of the line, and two coupling Any arrangement utilizing the trombone sec tion, or its equivalent, in combination with the two quarter-wave sections, to achieve a constant impedance match is within the contemplation of this invention; but the arrangement illustrated rangement of Fig. 2 are shown in Fig. 5, and 50 sections, all of said sections being connected in series, said coupling sections each having an elec it will be observed that this is electrically trical length equal to a quarter-wave length, and identical with Fig. 3. each interposed lengthwise between and inter Obviously, the legs of the trombone can be connecting one of said main sections and one end made of any convenient length; and the length of adjusting section“! can likewise, be anything 55 of said adjusting section, each of said coupling sections having a characteristic impedance equal desired. to the geometric mean of the characteristic im Iclaim: pedances of the said sections to which it is im 1. In a co-axial transmission line, two quarter wave-length co-axial matching sections, and a mediately connected. U-shaped co-axial trombone section intercon 60 5. A co-axial transmission line comprising two necting said quarter-wave-length sections and main sections, an adjustably movable U-shaped adjustably movable with respect thereto, there trombone section for varying the length of the being a telescopic sliding joint formed between line, and two coupling sections, all of said sec one end of said trombone section and one end of tions being connected in series, said coupling one of said quarter-wave-length sections, and a 65 sections each having an electrical length equal to second telescopic sliding joint formed between an odd number of quarter-wave lengths, and each interposed lengthwise between and inter the other end of said trombone section and one end of the other quarter-wave-length section, connecting one of said main sections and one end one half of each said joint comprising an inter of said trombone section, each of said coupling nal axial conductive member and an external 70 sections having a characteristic impedance equal tubular conductive member surrounding and to the geometric mean of the characteristic im concentric with said axial conductive member, pedances of the said sections to which it is im the other half of each said joint comprising an mediately connected. external axial conductive member and an in 6. A co-axial transmission line comprising two ternal tubular conductive member surrounding 75 main sections, an adiustably movably U-shaped 2,487,067 7 '8 trombone section .for varying the length of the REFERENCES CITED line, and two coupling sections, all of said sec tions being‘rconnected in series, said coupling sections each having an electrical length equal The following references are of record'in the me Of this Patent; to a quarterjwave length, and each ‘interposed 5 UNITED STATES PATENTS lengthwiseibetween and interconnecting one of said main sections and one end of said trombone section, each of said coupling; sections having a characteristic impedance equal to the geometric ' Number Name 1,841,473 1927393 mean of the characteristic impedances of the said =10 21233-165 sections to which it is immediately connected. FRANK J. BINGLEY. 23661353 Date Green ——————————— —— Jan- 191 1932 Darbord ———————— —— Sept- 19’ 1933 ' Hahn ———————————— —- Feb‘ 25- 1941 Jakel —————————— —- De°- 23- 1941
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