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

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THE APERTURE EFFECT 651 If a cosine wave of unit amplitude and frequency ( — J is recorded, the result is as shown in Fig. 1. ?IG. 1. Recorded wave shape for cosine wave, ip = (-T-) = angular width of recording aperture, -s = linear width of recording aperture. Analytically, this may be expressed as follows: / ( — — J = cos ( — J for 0 ^ 0 < (TT — /9^-v \ for (IT — <f>/2) ^ 8 -T I = 1 for (2ir — where x — linear distance from origin along film = (vf) / = ( <r J = frequency being recorded on film X = (v/f) = wave-length of that frequency on film 6 = (2irx/\) = (coJ) = angular position of arbitrary point, x s = linear^width of recording aperture at the film in direction of film travel <p — ( -T J = angular width of recording aperture y = amplitude of recorded wave at point, x The distortion introduced by the aperture effect is twofold in re•cording, the amplitudes of the various frequencies are altered in rela