MASSACIIUSETTS INSTITUTE OF TECIINOLOGY RADIATION LABORATORY SERIES N. Editor .. LOUIS RIDENOUR, in·Chi~f - VACUUM TUBE AMPLIFIERS l.IASSACHUSETTS INSTITUTE OF TECHNOLOGY RADIATION LABORATORY SERIES Board of Editors LOUIS N. RIDENOUR, Editor-in-Chief GEORGE B. COLLINS, Deputy Editor-in-Chief BRITTON CHANCE, S. A. GOUDSMIT, R. G. HERB, HDBERT 1\1. JAMES, JULIAN K.KNIPP, JAMES L. LAWSON, LEON B. LINFORD, CAROL G. MONTGOMERY, C. NEWTON, ALBBR'l' M. STONE, LOUIS A. TURNER, GEORGE E. VAI. . LEY, JR., HERBERT H. WHEATON 1. RADAR SYSTEM ENGINEERING-,R idenour 2. R4DAR AIDS TO NAVIGATION-Hall 3. RADAR BEACONs-Roberts 4. LORAN-Pierce, l.1 cJ(enzie, and lVoodward . 5. PULSE GENERATORs-Glasoe and Lcbacqz 6. MICROWAVE MAGNETRONS-Collins 7. KLYSTRONS AND MICROWAVE TRIODEs-IIamilton, 1{nipp, and 1(uper 8. PRINCIPLES OF MICROWAVE CIRCUITs-111ontgomery, Dicke, and Purcell 9. MICROWAVE TRANSMISSION CIRCUITs-Ragan 10. WAVEGUIDE HANDBOOK-11farcuvitz 11. TECHNIQUE OF IVIICROWAVE J\IEASUREMENTS-'l tIontgomery 12. MICROWAVE ANTENNA THEORY AND DESIGN-Silver 13. PROPAGATION OF SHORT RADIO VVAvEs-Kerr 14. MICROWAVE DUPLExERs-Smullin and 11J ontgomery 15. CRYSTAL RECTIl<'IERS-Torrey and Whitmer 16. MICROWAVE J\1IXERs-Pound 17. COMPONENTS HANDBOOK-Blackburn 18. VACUUM TUBE AMPLIFIERs-Valley and vVallman 19. WAVEFORMs-Chance, Hughes, M acNichol, Sayre, and Williams ,20. ELECTRONIC TIME MEASUREMENTs-Chance, Hulsizer, MacNichol, and Williams 21. ELECTRONIC INSTRUMENTs-Green'Wood, H oldam, and MacRae 22. CATHODE RAY TUBE DISPLAYS-Soller, Starr, and Valley 23. MICROWAVE RECEIVERs-Van Voorhis 24. THRESHOLD SIGNALS-Lawson and Uhlenbeck 25. THEORY OF SERVOMECHANIsMs-James, Nichols, and Phillips 26. RADAR SCANNERS AND RADOMEs-Cady, KareWz, and rPurner 27. COMPUTING MECHANISMS AND LINKAGES-Svoboda 28. INDEx-Linford VACUUM TUBE AMPLIFIERS Edz:ted by G'EORGE E. VALLE'Y, JJ1. ASSISTANT PROFESSOR OF PHYSICS MASSACHURBTTR INSTITUTE OF TJ<;CHNOLOGY I-IENI{Y WALLMAN ASSOCIATB PHOFESSOR OF MATHEMATICS MASSACHUSETTS INSTITUTE OF TECHNOLOGY OFJ"lCE OF' SCIENTIFIC RJr.AEARCH AND DE;VgLOPMI~NT NATIONAL DEFENSg RESI']AHCII C()MM:rrTBl~ NEW YOR.K· rpORON'PO· LONDON MCGRAVV-IlILL BOO]( COlJJPAN L INC. 1948 VACUUM TUBE AMPLIFIERS COPYRIGHT, 1948" BY THE MCGRA"W-I-IILL BOOK COMPANY, INC. PRI:N'TED IN THE UNITED STATES O~~ AMERICA. All rights reserved. . This book, (n" parts thereof, may not be reproduced in any form without permission of the publishers. THE MAPLE PRESS COMPANY, YORX, PA. VACUUA1 TlIBE A)l1PLI}?IERS EDITORIAL STAFl? GEORGE E .. VALLEY, JR. HENRY WALLMAN W HELEN ENETSI{ Y CONTRIBUTING AUTHORS YARDLEY BEERS ERIC DURAND HAROLD FLEISCHER W. JOHN GRAY J. lIARRY LIPI{'IN DUNCAN MACRAE, JR. E. JAY SCHREMP Q. ItICI-IARD TWISS ROBERT M.WALKEl~ W I-IENRY AI.ALMAN }I'oreword THE tremendous research and development effort that ·went into the development of radar and related techniques during World War IT resulted not only in hundreds of radar sets for military (and some for possible peacetime) use but also in a great body of information and new techniques in the electronics and high-frequency fields. Because this basic material may be of great value to science and engineering, it seemed most important to publish it as soon as security permitted. The Radiation Laboratory of MIT, ·which operated under the super vision of the National Defense Research Committee, undertook the grea,1. task of preparing these volumes. The work described herein, however, iH the collective result of work done at many laboratories, Army, Navy, university, and industrial, both in this country and in IiJngland, Canada, and other Dominions. The Radiation Laboratory, once its proposals ·were approved and finances provided by the Office of Scientific H,OBettreh ~\'nd Developrnen t, chose .Louil:-> N. R.idenour as Editor-in-Chief to lead and (lireet the entin~ project. An editoria,l staff 'was then ~deeted of tho::;c be:;t qunlified for this type of ta,sk. Finally the authors for the val'iou::; VOlUlrleS or ehaptel'~ or seetiol1swere chosen frOln arnong those experts \vho wore intirnately familiar \vith the various fields, and ·who were able a,nd willing to write the summaries of them. This entire staff agreed to rema,in at ·work aL MI'I' for six months or more after the work of the Radiation I)abol'atol'Y 'was complete. 'These volumes stand as a monum.ent to this group. These vol-urnes serve as a memorial to the un.named hundreds and thousan.ds of ot/her scientists, engineers, and otherswl1o H,C,tUttl1y o!Ll'ried on the resel:1rch, develop men t, antl engineering \vork the ts of vvhieh re~rul are herein described. Thore ·were so rnany invol ved in thiH 'work and they worked so closely together even. though often in ·widely ::lOpt.LnLted labora tories tha,t it is impossible to n:;uno 01' even to knO'w tho~e who contributed to a particular idea or dcvelopnlellt. Only eerta,in ones who wrote report~ or artie1es have even been luentionod. 13ut, to all those ·who contributed in any way to th.is great cooperative development enterpriso, both in thit::l country and in England, these volumes al'e dedicated. L. A. I)oBRID(tF}. vii Prejace SOON after Drs. L 1. Rabi and L. A. DuBridge decided that tile tech nica.l knovvledge of the Radiation I..Jaboratory staff should be pre served, it \:vas evident that at least Olle complete book \vould be required on lumped-pa.ram(:Jter circuits, The early planlling; for that book. was done during a series of conferences called by L. J. IIavvworth, anda.ttended by B. Chance andG.E. Valley, ~Jr. It wasdi:ffi.cult to arrange all the subjectrnatter in a'Vvay that\vouldbe easy to read and economical of space. It 'Would. ha-ve been possible to describe the various electrieal devices in order, b1.1t todescri be eaell illstrument completely "\vould hnve involved an intolerable 3lUounii of repetition concerning ba;::;ic circuits, SlH.~,h as D:1ultivibrator8 and a,mpli neTS. It vvould also ha.ve l'oquirecl an intolerable a1110UIl t of cross indexing if the "\vork were to be uSl1ble by those interest/cd, not in the particular instrUlllents described, but in the aI)plication of their design principles to completely different problems. Iii '\vas apparent, too, i,haii the ""vork should not stress radar. ~rhe maiieria] \vas therefore divided into t"y() pa,rtH.: the first part t.o include the basic prineiplcs of circuit design, tho second to perta,in to the: a.. ssembly of basic cirCUIts into functional instl'u.m~nts stleh as ro(~eiver~ ~1nd data display systems. 'These decisions weTe ma,d(~ in the interests of (~lm'ity n.nd brevity, P=-ven so, 11pOll completion of the c()nsequenti outline, it was evident iihat sever£Ll voillmes \vould be required, Acoord ingly new olltlines \Nere prepared for each of these and "'were then revised :::;eparately for each vohtme by committ€es compor:;ed of'the eclitors and author's coneerned. rrhe first of these books, CO'rnpOtwnt.s II andbook, dit->el18seK the phYBioal embodiments of tho hlnlpod-piH'i~lnetel'S th.OlllSdvC8: l'esistors, eablcK, rnotol's, vaeuum tubes, etc. Next, V (LC1,t?...l'Yn ':lu,b(J A?n1Jlijicr8 a,nd TVa1J(.~ jmrns di~cuss the prineil)les of cil'euit d0sign, respoctively, for cireui ts th[tt nTe cssontia,lly linear (amplifiers) al1ci for (~ireuits that are essenti::111y nonlillettr (oscilla, tors, eloctl'Ollic s\vitches, an.d th0 like). The fon r follolving volmucs eoneel'll thDmselvc,9 "with tIle design of complex fUD(! tion~11 devices. 1"1'Ihoy al'e EloctTO'nic r'i'mc JJ1ca,'iu,rement.s, Electrom:c [nstTumentg, (]a thode Ray 'l7ube Disl)ZaY8, and kI'icrowavG /ceceiver,<:;. The amplifiers disCllsAed in this volume aro designed to httve 0xk(~rne ix x: PREFACE values in one of several of the pertinent chara.cteristics: bandwidth, sensitivity, linearity, constancy of gain over long periods of time, etc. In most cases the design of such amplifiers, ill which the ultimate per formance is obtained from available types of C0l11pOnents, cannot be carried out by simple rules of thumb. The volume therefore begins with a chapter 011 "Linear Analysis and Transient Response" ,:vhich lays the theoretical basis for the high-fidelity reproduction of transient signals, such. as rectangular pulses. Although the chapter is rather theoretical, a summary is contained in Sec. 1'10 of the precise steps needed to determine the transient response of a given network. The practical application of these principles is examined in the next chapter, "High-fidelity Pulse Amplifiers," for direct, or "video," pulses. The resemblance of this material to that contained in Chap. 3 is only superficial; "Pulse Amplifiers of Large Dynaluic Range" is ~1hout the design of amplifiers intended to deal with pulses of widely v::Lt'ying magnitUde, all other characteristics being secondary. Ch.apters 4 through 7 deal \vith the theoretical and practical aspects of several lTIctrhods of amplifying, with varying degrees of fidelity, pulse-modulated c[tlTier fre quencies as high as 200 Me/sec. Although the design prin(~iplc~ ~\'re examined in these chapters chiefly from the standpoint of relatively high frequencies, they are perfectly general in their application. That this is true is exemplified by Chap. 10, "Lovv-freqllency Feedback Amplifiers," wherein some of the results of Chap. 4 are applied to filter amplifiers op(~r ating at frequencies as low as .50 cps. Chapter 8 deals with the examination anel adjustment, of the amplifiers previously described, especially vvhen they aTe employeel as internlcdiat,(~ frequency amplifiers in superheterodyne receivers. Chapter~) diselU-)He~ some of the innumerable ways in which inverse feedback eUll be enlployed to stabilize the gain of an amplifier. The '\~'ell-kno\vn pl'ineiples of Nyquist] Bode, and others are applied particularly to circuits in ",,"hieh inductances do not appear, and use is made of this fact to sin1pEfy the analysis; in addition the chapter describes the successively less approxi mate phases through which the design of such an amplifiol" ca,n proeccd. Chapter 11 recounts the experience at the Radiation Laboratory eoneern ing the design of rugged and reliable direct-coupled amplifiers, no pa,r ticular elnphasis being placed upon extreme sensitivity. Chapter 12, a Amplifier Sensitivjty," examines the subject of noise in a rigorous and very theoretical manneI'. The design of an1.plificrs for best signal-to-noise ratio is discussed in Ch~Lp. 13, "Minimal-noise Input Circuits," and in Chap. 14 the experimental rneasureluent of a.lnplifier sensitivity is explained. Appendix A contains an existence theorem. on the physical realizability of filter amplitude characteristics.
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