I K.IXSMISSIOX ( //. /A'. /{ //,A7\//(\ i'/ If. /( 7 -///.// A'V (.l'» 

 .iml ,it ilu- other h-riiiin.il> 



.111.1 (Sd) 



16= 111 losh 1 — £^-T ,^ siiih I - /„ . - ,.2 Sinn I . 

 V K„-\-l\.h I i\„ + Kb 



iDmpariMin slmws tli.it tin- ,i;riHT.il li)iiniilaf for tlif currents /„ 

 .111(1 Ih niven l>y (•">!) aiul (74) in terms of tin- two sots of paramelers 

 .ire of the siinu- funriional form in\(il\inij their respoclixe reflection 

 roetVicients; the latter are of siiv;htl\' (iilTerent functional forms. This 

 similarity is what one expects when fieri\ int; liic formulae s\iiiliei ically 

 hy the current reHection method. 



In .ill c.ises l)v H>1 I and iT.Sl 



\lJV, = K„Ki.. (S7) 



rile sum ( y'„^+ 7'',„1, Il'„, and 11'/, of an\' transducer are oln iousK- 

 .liso equal to the propajjation constant and respecti\e characteristic 

 im|-)edances of the two symmetrical transducers which can individually 

 he formed with two such identical transducers. 



If Tab=Tba, the reciprocal theorem holds onl\- when 11'., = ir*. 

 for which case the transducer is symmetrical. On the other hand if 

 r„), = i'N,, this theorem holds irrespectixe of the values of K., and A'/,. 

 In each of these cases which satislies the theorem the transducer ma\- 

 l>e active or passi\e. 



In an electrically symmetrical transducer, whether actixe or passive, 

 two parameters specify its properties 

 where 



7 u/> = 7 M = lufc = Yh,i , 

 an.l (88) 



ir„ = ir, = A'„ = A-,„ 



in which case the ct)rrespondini; formulae are identical in the p.ira- 

 meters. Structural symmetry is not necessary here as may be seen, 

 for example, in the case of a composite wa\'e-filter made up of differ- 

 ent mid-series sections whose characteristic impedances are ec|ui\alent. 

 In a passive dissymmetrical transducer the formulae cnntaininn 

 hyperbolic functions are of simpler form with the parameters T, Wa. 

 and U'h than with the parameters I", A',,, and Kt,. The image para- 

 meter formulae are readily applicable where the transfiucer is made 

 up of parts whose image impedances at the junctions are equivalent. 



