44 BELL SYSTLM TLCHKICAL JOURNAL 



These conditions give tlie following equations: 



a^pA+S'RB=jaZ'io (43) 



f acop cos ^- + S't sin — ) /I + ( awp sin — — S'r cos — ) B={) (44) 

 \ a a J \ a a J 



where 





yp yp yp 



Solving for the constants A and B, we find their values to be: 



A 



=jaZ'ioiSr cos acop sin — j -^P, (45) 



where 



B ^ jaZ'io i St sin (-acop cos —] ^D, (46) 



\ a a I 



D^\S'KS'T-{ao^py\ sin- +aa;p(5;, + 5^) cos-- (47) 



The two pressure values are then given b> 



j/ . Oil 



dpR = Z'ia(xip [St cos ai^p sin j -f-I^, (48) 



dpT = Z'iao>pS'T^D, (49) 



and 



Z'\ . col 





^qZiauop H ^r Qr ~~J (o^'^ 



The loaded stiffness of the receiver diaphragm is given by 



ol . -^ iiol 



qQrQRdiicip I A'' sin - 

 5 = 



qQrQRacop ( A^ sin — +P cos — ) 



5/-^f ((g==-^^F^Fr)sin'^^+g(Fr+F;,)cos'^- 

 yp\^\ yp ) a a 



flcop (P^ VrQr- sin — + qQr cos ^ ) , (50) 

 \ yp a O' J 



