Journal of the Society of Motion Picture Engineers (1930-1949)

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1948 VARIABLE^AREA RECORDING 519 Hence, An = \ (y — z) sin nz dz. (34) Integrating by parts, An = \ — (y — z) cos nz * + / cos nz d(y z) . (35) nir\_ o JO _| The integrated term disappears since y = z f or the limiting values of 0 and TT as is evident from (31). Also J^ cos ny dy = 0. Hence, on substituting y — ft sin y = z An = —' I cos n (y — ft sin y)dy (36) = \Jn (na) (37) by the Bessel integral. The solution thus becomes y — z = J^ -Jn(np) sin nz. (38) i Substituting from (31) \ 2 \-~» 1 T / n&ir&o \ + ao tan a) -\ — > Jn I — tan a ] n "Y n \ X / sin^ (x + aotan a). (39) 2?r . 2?r — (x + £ sin a) = — A A T Since tan a = ,... (40) From this equation the coefficients of fundamental, second, third, etc., harmonics may be computed for assigned values of r/\ and known values of Jn. Solutions for the bilateral and dulateral cases may be obtained in an analogous manner. DISCUSSION MR. C. R. SKINNER: -The Skinner Company has been manufacturing a unit like that since 1928. There is one slight difference. To get the slit effect, a