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

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530 SHAFER November point sources located at different distances from the optic axis in the W plane and graphically integrating the resultant. The problem as stated in the introduction is to find I(z, \ f(x) , w, yi, /) for a given <j>(x) where |/(z) | gives the size of the aperture, w the size of the source, yi the knife-edge position, and / the focal length of the optics of the system. X (17) To discuss the effect of the several variables mentioned above, a simplified disturbance in the X plane as shown in Fig. 5, typical of those for which the schlieren-type observation is useful, will be considered. This disturbance has two regions of different phase (1) and LIGHT a X Y Z Fig. 5 — Typical disturbance to be discussed throughout paper. (2) connected by a linear transition region (3) . If a-a is small this disturbance may represent a shock wave. If a-a is large it may represent an expansion or compression. If —a = —A, the disturbance may represent a boundary layer. In Fig. 5, the flow in a wind tunnel, or the path of a projectile, will be in the plane of the figure, perpendicular to the optic axis. To find the light-intensity distribution in the image plane Z due to the disturbance of Fig. 5 in the object plane X, equation (16) must be integrated.